Holliday, Wesley H. Three roads to complete lattices: orders, compatibility, polarity. (English) Zbl 07334065 Algebra Univers. 82, No. 2, Paper No. 26, 14 p. (2021). MSC: 06B23 06B15 06C15 06D20 06D22 03G05 03G10 03G12 PDF BibTeX XML Cite \textit{W. H. Holliday}, Algebra Univers. 82, No. 2, Paper No. 26, 14 p. (2021; Zbl 07334065) Full Text: DOI
Arrieta, Igor; Suarez, Anna Laura The coframe of \(D\)-sublocales of a locale and the \(T_D\)-duality. (English) Zbl 07318668 Topology Appl. 291, Article ID 107614, 23 p. (2021). MSC: 18F70 06D22 PDF BibTeX XML Cite \textit{I. Arrieta} and \textit{A. L. Suarez}, Topology Appl. 291, Article ID 107614, 23 p. (2021; Zbl 07318668) Full Text: DOI
Bhunia, Goutam A note on certain subrings of \(\mathcal{R} (L)\). (English) Zbl 07312320 Quaest. Math. 44, No. 1, 99-107 (2021). MSC: 06D22 54D35 PDF BibTeX XML Cite \textit{G. Bhunia}, Quaest. Math. 44, No. 1, 99--107 (2021; Zbl 07312320) Full Text: DOI
Mthethwa, Simo Characterising certain compactifications of frames with special attention to Freudenthal. (English) Zbl 07308306 Algebra Univers. 82, No. 1, Paper No. 14, 11 p. (2021). MSC: 06D22 54D35 PDF BibTeX XML Cite \textit{S. Mthethwa}, Algebra Univers. 82, No. 1, Paper No. 14, 11 p. (2021; Zbl 07308306) Full Text: DOI
Clementino, Maria Manuel; Montoli, Andrea On the categorical behaviour of \(V\)-groups. (English) Zbl 1445.18001 J. Pure Appl. Algebra 225, No. 4, Article ID 106550, 24 p. (2021). Reviewer: Sergejs Solovjovs (Praha) MSC: 18D20 06F15 06D22 06F07 18B35 18D15 18G50 PDF BibTeX XML Cite \textit{M. M. Clementino} and \textit{A. Montoli}, J. Pure Appl. Algebra 225, No. 4, Article ID 106550, 24 p. (2021; Zbl 1445.18001) Full Text: DOI
Mozo Carollo, Imanol On the universal completion of pointfree function spaces. (English) Zbl 07241697 J. Pure Appl. Algebra 225, No. 2, Article ID 106490, 19 p. (2021). MSC: 06D22 06F20 54D15 54C10 PDF BibTeX XML Cite \textit{I. Mozo Carollo}, J. Pure Appl. Algebra 225, No. 2, Article ID 106490, 19 p. (2021; Zbl 07241697) Full Text: DOI
Arrieta, Igor On infinite variants of De Morgan law in locale theory. (English) Zbl 1441.06009 J. Pure Appl. Algebra 225, No. 1, Article ID 106460, 16 p. (2021). MSC: 06D22 18F70 54G05 PDF BibTeX XML Cite \textit{I. Arrieta}, J. Pure Appl. Algebra 225, No. 1, Article ID 106460, 16 p. (2021; Zbl 1441.06009) Full Text: DOI
Goubault-Larrecq, Jean; Mynard, Frédéric Convergence without points. (English) Zbl 07318758 Houston J. Math. 46, No. 1, 227-282 (2020). MSC: 54A20 06D22 18 PDF BibTeX XML Cite \textit{J. Goubault-Larrecq} and \textit{F. Mynard}, Houston J. Math. 46, No. 1, 227--282 (2020; Zbl 07318758) Full Text: Link
Estaji, A. A.; Karimi Feizabadi, A.; Robat Sarpoushi, M. Sums of strongly \(z\)-ideals and prime ideals in \(\mathcal{RL}\). (English) Zbl 1455.06007 Iran. J. Math. Sci. Inform. 15, No. 1, 23-34 (2020). MSC: 06D22 54C05 54C30 13A15 PDF BibTeX XML Cite \textit{A. A. Estaji} et al., Iran. J. Math. Sci. Inform. 15, No. 1, 23--34 (2020; Zbl 1455.06007) Full Text: Link
Baboolal, Dharmanand; Picado, Jorge; Pillay, Paranjothi; Pultr, Aleš Hewitt’s irresolvability and induced sublocales in spatial frames. (English) Zbl 07311140 Quaest. Math. 43, No. 11, 1601-1612 (2020). MSC: 06D22 54G12 54G15 PDF BibTeX XML Cite \textit{D. Baboolal} et al., Quaest. Math. 43, No. 11, 1601--1612 (2020; Zbl 07311140) Full Text: DOI
Dube, Themba; Stephen, Dorca Nyamusi On ideals of rings of continuous functions associated with sublocales. (English) Zbl 07286519 Topology Appl. 284, Article ID 107360, 25 p. (2020). MSC: 06D22 13A15 18A22 54C30 PDF BibTeX XML Cite \textit{T. Dube} and \textit{D. N. Stephen}, Topology Appl. 284, Article ID 107360, 25 p. (2020; Zbl 07286519) Full Text: DOI
Cvetko-Vah, Karin; Hemelaer, Jens; Le Bruyn, Lieven Duality for noncommutative frames. (English) Zbl 07285177 Topology Appl. 282, Article ID 107310, 26 p. (2020). MSC: 18F70 06D22 PDF BibTeX XML Cite \textit{K. Cvetko-Vah} et al., Topology Appl. 282, Article ID 107310, 26 p. (2020; Zbl 07285177) Full Text: DOI
Reshma, M. T. Elizabeth; Johnson, T. P. pr-convergence of filters and nets in frames. (English) Zbl 07274315 J. Adv. Math. Stud. 13, No. 2, 123-132 (2020). Reviewer: Themba Dube (Unisa) MSC: 06D22 54A20 54D30 54D15 54D35 PDF BibTeX XML Cite \textit{M. T. E. Reshma} and \textit{T. P. Johnson}, J. Adv. Math. Stud. 13, No. 2, 123--132 (2020; Zbl 07274315) Full Text: Link
Estaji, Ali Akbar; Mahmoudi Darghadam, Ahmad Free ideals and real ideals of the ring of frame maps from \(\mathcal{P}(\mathbb{R})\) to a frame. (English) Zbl 07260096 Algebr. Struct. Appl. 7, No. 2, 93-113 (2020). MSC: 06D20 06D22 54C30 PDF BibTeX XML Cite \textit{A. A. Estaji} and \textit{A. Mahmoudi Darghadam}, Algebr. Struct. Appl. 7, No. 2, 93--113 (2020; Zbl 07260096) Full Text: DOI
Bai, Ruiqi; Yang, Yichuan Structure and representation of semimodules over inclines. (English) Zbl 07257242 Ann. Pure Appl. Logic 171, No. 10, Article ID 102844, 31 p. (2020). MSC: 06A12 06B10 06B30 06D22 06D35 16Y60 PDF BibTeX XML Cite \textit{R. Bai} and \textit{Y. Yang}, Ann. Pure Appl. Logic 171, No. 10, Article ID 102844, 31 p. (2020; Zbl 07257242) Full Text: DOI
Elyasi, M.; Estaji, A. A.; Robat Sarpoushi, M. Locally functionally countable subalgebra of \(\mathcal{R}(L)\). (English) Zbl 07250674 Arch. Math., Brno 56, No. 3, 127-140 (2020). MSC: 06D22 54C05 54C30 PDF BibTeX XML Cite \textit{M. Elyasi} et al., Arch. Math., Brno 56, No. 3, 127--140 (2020; Zbl 07250674) Full Text: DOI
Ball, R. N.; Moshier, M. A.; Pultr, A. Exact filters and joins of closed sublocales. (English) Zbl 1444.18018 Appl. Categ. Struct. 28, No. 4, 655-667 (2020). Reviewer: Jorge Picado (Coimbra) MSC: 18F70 06D22 PDF BibTeX XML Cite \textit{R. N. Ball} et al., Appl. Categ. Struct. 28, No. 4, 655--667 (2020; Zbl 1444.18018) Full Text: DOI
Kwaśniewski, Bartosz Kosma; Meyer, Ralf Stone duality and quasi-orbit spaces for generalised \(\mathrm{C}^\ast\)-inclusions. (English) Zbl 07242516 Proc. Lond. Math. Soc. (3) 121, No. 4, 788-827 (2020). MSC: 46L55 06D22 20M18 22A22 20G42 PDF BibTeX XML Cite \textit{B. K. Kwaśniewski} and \textit{R. Meyer}, Proc. Lond. Math. Soc. (3) 121, No. 4, 788--827 (2020; Zbl 07242516) Full Text: DOI
Abedi, Mostafa Some notes on \(z\)-ideal and \(d\)-ideal in \(\mathcal{R}L\). (English) Zbl 1437.06012 Bull. Iran. Math. Soc. 46, No. 3, 593-611 (2020). MSC: 06D22 13A15 54G05 54G10 PDF BibTeX XML Cite \textit{M. Abedi}, Bull. Iran. Math. Soc. 46, No. 3, 593--611 (2020; Zbl 1437.06012) Full Text: DOI
Abedi, Mostafa; Estaji, Ali Akbar Closed ideals in the uniform topology on the ring of real-valued continuous functions on a frame. (English) Zbl 07219816 Rend. Semin. Mat. Univ. Padova 143, 135-152 (2020). MSC: 06D22 54C40 54C50 16D25 13J20 PDF BibTeX XML Cite \textit{M. Abedi} and \textit{A. A. Estaji}, Rend. Semin. Mat. Univ. Padova 143, 135--152 (2020; Zbl 07219816) Full Text: DOI
Gutiérrez García, Javier; Kubiak, Tomasz; Picado, Jorge Perfect locales and localic real functions. (English) Zbl 1453.06010 Algebra Univers. 81, No. 3, Paper No. 32, 18 p. (2020). MSC: 06D22 54D15 PDF BibTeX XML Cite \textit{J. Gutiérrez García} et al., Algebra Univers. 81, No. 3, Paper No. 32, 18 p. (2020; Zbl 1453.06010) Full Text: DOI
Enrique Moliner, Pau; Heunen, Chris; Tull, Sean Tensor topology. (English) Zbl 1445.18010 J. Pure Appl. Algebra 224, No. 10, Article ID 106378, 35 p. (2020). Reviewer: Jiří Rosický (Brno) MSC: 18M05 06D22 PDF BibTeX XML Cite \textit{P. Enrique Moliner} et al., J. Pure Appl. Algebra 224, No. 10, Article ID 106378, 35 p. (2020; Zbl 1445.18010) Full Text: DOI
Bezhanishvili, Nick; Holliday, Wesley H. Choice-free Stone duality. (English) Zbl 1444.03172 J. Symb. Log. 85, No. 1, 109-148 (2020). Reviewer: Ioan Tomescu (Bucureşti) MSC: 03G05 06E15 06D22 03E25 PDF BibTeX XML Cite \textit{N. Bezhanishvili} and \textit{W. H. Holliday}, J. Symb. Log. 85, No. 1, 109--148 (2020; Zbl 1444.03172) Full Text: DOI
Faul, Peter F.; Manuell, Graham R. Artin glueings of frames as semidirect products. (English) Zbl 07187745 J. Pure Appl. Algebra 224, No. 8, Article ID 106334, 12 p. (2020). MSC: 18G50 06D22 54B15 18B30 PDF BibTeX XML Cite \textit{P. F. Faul} and \textit{G. R. Manuell}, J. Pure Appl. Algebra 224, No. 8, Article ID 106334, 12 p. (2020; Zbl 07187745) Full Text: DOI
Bhattacharjee, P.; Naidoo, I. Another note on precompact uniform frames. (English) Zbl 07187670 Topology Appl. 275, Article ID 107023, 17 p. (2020). Reviewer: Themba Dube (Unisa) MSC: 06D22 54A20 PDF BibTeX XML Cite \textit{P. Bhattacharjee} and \textit{I. Naidoo}, Topology Appl. 275, Article ID 107023, 17 p. (2020; Zbl 07187670) Full Text: DOI
Dube, Themba; Robat Sarpoushi, Maryam On densely normal locales. (English) Zbl 07187662 Topology Appl. 275, Article ID 107015, 16 p. (2020). MSC: 06D22 54B05 54D15 PDF BibTeX XML Cite \textit{T. Dube} and \textit{M. Robat Sarpoushi}, Topology Appl. 275, Article ID 107015, 16 p. (2020; Zbl 07187662) Full Text: DOI
Frith, John; Schauerte, Anneliese Compactifications and reflections of partial spaces via partial frames. (English) Zbl 07186738 Topology Appl. 273, Article ID 106982, 15 p. (2020). MSC: 06D22 18A40 54A05 54D10 54D15 54D35 PDF BibTeX XML Cite \textit{J. Frith} and \textit{A. Schauerte}, Topology Appl. 273, Article ID 106982, 15 p. (2020; Zbl 07186738) Full Text: DOI
Erné, Marcel Generalized continuous closure spaces. I: Meet preserving closure operations. (English) Zbl 07186737 Topology Appl. 273, Article ID 106981, 29 p. (2020). MSC: 06B35 06D22 54D10 54D30 54D45 PDF BibTeX XML Cite \textit{M. Erné}, Topology Appl. 273, Article ID 106981, 29 p. (2020; Zbl 07186737) Full Text: DOI
Baboolal, Dharmanand; Pillay, Paranjothi The Vietoris uniformity for locales. (English) Zbl 07186735 Topology Appl. 273, Article ID 106979, 11 p. (2020). MSC: 06D22 54D35 54E15 PDF BibTeX XML Cite \textit{D. Baboolal} and \textit{P. Pillay}, Topology Appl. 273, Article ID 106979, 11 p. (2020; Zbl 07186735) Full Text: DOI
Gutiérrez García, Javier; Kubiak, Tomasz; Picado, Jorge On hereditary properties of extremally disconnected frames and normal frames. (English) Zbl 07186734 Topology Appl. 273, Article ID 106978, 15 p. (2020). MSC: 06D22 54D15 PDF BibTeX XML Cite \textit{J. Gutiérrez García} et al., Topology Appl. 273, Article ID 106978, 15 p. (2020; Zbl 07186734) Full Text: DOI
Ávila, F. The frame of the \(p\)-adic numbers. (English) Zbl 07186733 Topology Appl. 273, Article ID 106977, 21 p. (2020). Reviewer: Mark Sioen (Brussel) MSC: 06D22 54E35 54G99 PDF BibTeX XML Cite \textit{F. Ávila}, Topology Appl. 273, Article ID 106977, 21 p. (2020; Zbl 07186733) Full Text: DOI
Jakl, Tomáš Canonical extensions of locally compact frames. (English) Zbl 07186732 Topology Appl. 273, Article ID 106976, 21 p. (2020). MSC: 06D22 06B35 06B23 PDF BibTeX XML Cite \textit{T. Jakl}, Topology Appl. 273, Article ID 106976, 21 p. (2020; Zbl 07186732) Full Text: DOI
Lowen, Wendy; Sioen, Mark; Van Den Haute, Wouter Frames of continuous functions. (English) Zbl 07186730 Topology Appl. 273, Article ID 106974, 18 p. (2020). MSC: 06D22 18F99 54A05 54D10 54H99 PDF BibTeX XML Cite \textit{W. Lowen} et al., Topology Appl. 273, Article ID 106974, 18 p. (2020; Zbl 07186730) Full Text: DOI
Ighedo, Oghenetega; McGovern, Warren Wm. On the lattice of \(z\)-ideals of a commutative ring. (English) Zbl 1439.13008 Topology Appl. 273, Article ID 106969, 16 p. (2020). MSC: 13A15 06D22 54C30 PDF BibTeX XML Cite \textit{O. Ighedo} and \textit{W. Wm. McGovern}, Topology Appl. 273, Article ID 106969, 16 p. (2020; Zbl 1439.13008) Full Text: DOI
Manuell, Graham The congruence biframe as a quasi-uniform bicompletion. (English) Zbl 07186724 Topology Appl. 273, Article ID 106968, 11 p. (2020). MSC: 06D22 06B10 54E15 54E55 PDF BibTeX XML Cite \textit{G. Manuell}, Topology Appl. 273, Article ID 106968, 11 p. (2020; Zbl 07186724) Full Text: DOI
Moshier, M. Andrew; Mozo Carollo, Imanol; Walters-Wayland, Joanne On Isbell’s density theorem for bitopological pointfree spaces. I. (English) Zbl 07186719 Topology Appl. 273, Article ID 106962, 18 p. (2020). MSC: 06D22 54B05 PDF BibTeX XML Cite \textit{M. A. Moshier} et al., Topology Appl. 273, Article ID 106962, 18 p. (2020; Zbl 07186719) Full Text: DOI
Dube, Themba On the maximal regular ideal of pointfree function rings, and more. (English) Zbl 07186717 Topology Appl. 273, Article ID 106960, 18 p. (2020). MSC: 13A15 06D22 54C30 PDF BibTeX XML Cite \textit{T. Dube}, Topology Appl. 273, Article ID 106960, 18 p. (2020; Zbl 07186717) Full Text: DOI
Ighedo, Oghenetega; Mugochi, Martin M. Locales whose coz-complemented cozero sublocales have open closures. (English) Zbl 07186397 Algebra Univers. 81, No. 2, Paper No. 17, 17 p. (2020). MSC: 06D22 54G05 13A15 13F25 PDF BibTeX XML Cite \textit{O. Ighedo} and \textit{M. M. Mugochi}, Algebra Univers. 81, No. 2, Paper No. 17, 17 p. (2020; Zbl 07186397) Full Text: DOI
Hrbek, Michal; Šťovíček, Jan Tilting classes over commutative rings. (English) Zbl 1454.13020 Forum Math. 32, No. 1, 235-267 (2020). Reviewer: Blas Torrecillas (Almería) MSC: 13D09 18G80 06D22 13C05 13D07 13D30 13D45 16D90 16E30 PDF BibTeX XML Cite \textit{M. Hrbek} and \textit{J. Šťovíček}, Forum Math. 32, No. 1, 235--267 (2020; Zbl 1454.13020) Full Text: DOI
Ávila, F.; Bezhanishvili, G.; Morandi, P. J.; Zaldívar, A. When is the frame of nuclei spatial: a new approach. (English) Zbl 1444.06007 J. Pure Appl. Algebra 224, No. 7, Article ID 106302, 20 p. (2020). Reviewer: Jorge Picado (Coimbra) MSC: 06D22 06E15 54F05 54G12 PDF BibTeX XML Cite \textit{F. Ávila} et al., J. Pure Appl. Algebra 224, No. 7, Article ID 106302, 20 p. (2020; Zbl 1444.06007) Full Text: DOI
Banaschewski, B. A remark on the ring of integer-valued continuous functions in pointfree topology. (English) Zbl 07167605 Topology Appl. 272, Article ID 106964, 4 p. (2020). MSC: 06D22 06F25 54C99 54H10 PDF BibTeX XML Cite \textit{B. Banaschewski}, Topology Appl. 272, Article ID 106964, 4 p. (2020; Zbl 07167605) Full Text: DOI
Estaji, Ali Akbar; Taha, Maryam \(z\)-ideals in the real continuous function ring \(\mathcal{R}(L_{\tau}) \). (English) Zbl 1437.06013 Bull. Iran. Math. Soc. 46, No. 1, 37-51 (2020). MSC: 06D22 13A15 54C30 54C40 PDF BibTeX XML Cite \textit{A. A. Estaji} and \textit{M. Taha}, Bull. Iran. Math. Soc. 46, No. 1, 37--51 (2020; Zbl 1437.06013) Full Text: DOI
Haykazyan, Levon More on a curious nucleus. (English) Zbl 07094404 J. Pure Appl. Algebra 224, No. 2, 860-868 (2020). MSC: 06D22 PDF BibTeX XML Cite \textit{L. Haykazyan}, J. Pure Appl. Algebra 224, No. 2, 860--868 (2020; Zbl 07094404) Full Text: DOI arXiv
Estajim, Ali Akbar; Abedi, Mostafa; Darghadam, Ahmad Mahmoudi On self-injectivity of the \(f\)-ring \({\operatorname{Frm}(\mathcal{P}(\mathbb{R}),L)}\). (English) Zbl 07289576 Math. Slovaca 69, No. 5, 999-1008 (2019). MSC: 06D22 16D50 54C05 54C30 54G05 PDF BibTeX XML Cite \textit{A. A. Estajim} et al., Math. Slovaca 69, No. 5, 999--1008 (2019; Zbl 07289576) Full Text: DOI
Nsayi, Jissy Nsonde Natural extension of \(EF\)-spaces and \(EZ\)-spaces to the pointfree context. (English) Zbl 07289574 Math. Slovaca 69, No. 5, 979-988 (2019). MSC: 06D22 PDF BibTeX XML Cite \textit{J. N. Nsayi}, Math. Slovaca 69, No. 5, 979--988 (2019; Zbl 07289574) Full Text: DOI
Wu, Tao; Zhao, Bin The properties of \(\models\)-filters of a topological system. (English) Zbl 1451.06003 Soft Comput. 23, No. 24, 12951-12960 (2019). Reviewer: Sergejs Solovjovs (Praha) MSC: 06B30 03G25 06B10 06D22 18F70 54D10 PDF BibTeX XML Cite \textit{T. Wu} and \textit{B. Zhao}, Soft Comput. 23, No. 24, 12951--12960 (2019; Zbl 1451.06003) Full Text: DOI
Picado, Jorge; Pultr, Aleš Axiom \(T_D\) and the Simmons sublocale theorem. (English) Zbl 07177889 Commentat. Math. Univ. Carol. 60, No. 4, 541-551 (2019). MSC: 06D22 54D10 PDF BibTeX XML Cite \textit{J. Picado} and \textit{A. Pultr}, Commentat. Math. Univ. Carol. 60, No. 4, 541--551 (2019; Zbl 07177889) Full Text: DOI
Frosoni, Giulia; Rosolini, Giuseppe; Santamaria, Alessio Frames and topological algebras for a double-power monad. (English) Zbl 1440.18007 J. Log. Anal. 11, Article FT5, 21 p. (2019). Reviewer: Jorge Picado (Coimbra) MSC: 18C15 18D15 18F70 06D22 54B30 PDF BibTeX XML Cite \textit{G. Frosoni} et al., J. Log. Anal. 11, Article FT5, 21 p. (2019; Zbl 1440.18007) Full Text: Link
Ball, Richard N.; Hager, Anthony W. The inversion characterizations of \(C(\mathcal{L})\) for a locale \(\mathcal{L} \). (English) Zbl 07152855 Rocky Mt. J. Math. 49, No. 7, 2107-2120 (2019). MSC: 06D22 54-XX 06F20 46A40 46E05 54B35 54C30 PDF BibTeX XML Cite \textit{R. N. Ball} and \textit{A. W. Hager}, Rocky Mt. J. Math. 49, No. 7, 2107--2120 (2019; Zbl 07152855) Full Text: DOI
Dube, Themba Maximal Lindelöf locales. (English) Zbl 07140996 Appl. Categ. Struct. 27, No. 6, 687-702 (2019). MSC: 54A10 54D20 06D22 PDF BibTeX XML Cite \textit{T. Dube}, Appl. Categ. Struct. 27, No. 6, 687--702 (2019; Zbl 07140996) Full Text: DOI
Bezhanishvili, G.; Gabelaia, D.; Harding, J.; Jibladze, M. Compact Hausdorff spaces with relations and Gleason spaces. (English) Zbl 1437.54021 Appl. Categ. Struct. 27, No. 6, 663-686 (2019). Reviewer: Alexander Vauth (Lübbecke) MSC: 54D30 54G05 54E05 06D22 54B30 PDF BibTeX XML Cite \textit{G. Bezhanishvili} et al., Appl. Categ. Struct. 27, No. 6, 663--686 (2019; Zbl 1437.54021) Full Text: DOI
Estaji, Ali Akbar; Mahmoudi Darghadam, Ahmad Rings of continuous functions vanishing at infinity on a frame. (English) Zbl 07131016 Quaest. Math. 42, No. 9, 1141-1157 (2019). MSC: 06D22 54C05 54C30 PDF BibTeX XML Cite \textit{A. A. Estaji} and \textit{A. Mahmoudi Darghadam}, Quaest. Math. 42, No. 9, 1141--1157 (2019; Zbl 07131016) Full Text: DOI
Baboolal, Dharmanand; Picado, Jorge; Pultr, Aleš Another proof of Banaschewski’s surjection theorem. (English) Zbl 1436.06017 Categ. Gen. Algebr. Struct. Appl. 11, No. 1, 113-130 (2019). Reviewer: Xiaoquan Xu (Zhangzhou) MSC: 06D22 54D35 54E15 PDF BibTeX XML Cite \textit{D. Baboolal} et al., Categ. Gen. Algebr. Struct. Appl. 11, No. 1, 113--130 (2019; Zbl 1436.06017) Full Text: Link
Banaschewski, Bernhard The function ring functors of pointfree topology revisited. (English) Zbl 07122733 Categ. Gen. Algebr. Struct. Appl. 11, No. 1, 19-32 (2019). MSC: 06D22 06F25 PDF BibTeX XML Cite \textit{B. Banaschewski}, Categ. Gen. Algebr. Struct. Appl. 11, No. 1, 19--32 (2019; Zbl 07122733) Full Text: Link
Estaji, Ali Akbar; Sarpoushi, Maryam Robat; Elyasi, Mahtab Further thoughts on the ring \(\mathcal{R}_c(L)\) in frames. (English) Zbl 07121408 Algebra Univers. 80, No. 4, Paper No. 43, 14 p. (2019). MSC: 06D22 54C05 54C30 PDF BibTeX XML Cite \textit{A. A. Estaji} et al., Algebra Univers. 80, No. 4, Paper No. 43, 14 p. (2019; Zbl 07121408) Full Text: DOI
Rathilal, Cerene; Baboolal, Dharmanand; Pillay, Paranjothi Property S and local connectedness in metric frames. (English) Zbl 07118896 Topology Appl. 267, Article ID 106888, 14 p. (2019). MSC: 06D22 54D35 PDF BibTeX XML Cite \textit{C. Rathilal} et al., Topology Appl. 267, Article ID 106888, 14 p. (2019; Zbl 07118896) Full Text: DOI
Li, Yujia; Sun, Xiangrong The compact regular reflection of locally compact regular locale. (Chinese. English summary) Zbl 1438.06027 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 43, No. 1, 28-30 (2019). MSC: 06D22 54D45 PDF BibTeX XML Cite \textit{Y. Li} and \textit{X. Sun}, J. Jiangxi Norm. Univ., Nat. Sci. Ed. 43, No. 1, 28--30 (2019; Zbl 1438.06027) Full Text: DOI
Dube, Themba Rings in which sums of \(d\)-ideals are \(d\)-ideals. (English) Zbl 1435.13001 J. Korean Math. Soc. 56, No. 2, 539-558 (2019). Reviewer: S. K. Nimbhorkar (Aurangabad) MSC: 13A15 06D22 18A05 PDF BibTeX XML Cite \textit{T. Dube}, J. Korean Math. Soc. 56, No. 2, 539--558 (2019; Zbl 1435.13001) Full Text: DOI
Ball, Richard N.; Picado, Jorge; Pultr, Aleš Some aspects of (non) functoriality of natural discrete covers of locales. (English) Zbl 07093650 Quaest. Math. 42, No. 6, 701-715 (2019). MSC: 06D22 54D10 54D35 PDF BibTeX XML Cite \textit{R. N. Ball} et al., Quaest. Math. 42, No. 6, 701--715 (2019; Zbl 07093650) Full Text: DOI
de Brecht, Matthew; Kawai, Tatsuji On the commutativity of the powerspace constructions. (English) Zbl 07093560 Log. Methods Comput. Sci. 15, No. 3, Paper No. 13, 25 p. (2019). MSC: 06D22 03E15 06B35 54H05 PDF BibTeX XML Cite \textit{M. de Brecht} and \textit{T. Kawai}, Log. Methods Comput. Sci. 15, No. 3, Paper No. 13, 25 p. (2019; Zbl 07093560) Full Text: arXiv
Dube, Themba Concerning \(P\)-sublocales and disconnectivity. (English) Zbl 07093465 Appl. Categ. Struct. 27, No. 4, 365-383 (2019). MSC: 06D22 13A15 18A22 54C30 54G05 54G10 54G15 PDF BibTeX XML Cite \textit{T. Dube}, Appl. Categ. Struct. 27, No. 4, 365--383 (2019; Zbl 07093465) Full Text: DOI
Sabna, K. S.; Mangalambal, N. R. Fixed points with respect to the \(L\)-slice homomorphism \(\sigma_a\). (English) Zbl 07088757 Arch. Math., Brno 55, No. 1, 43-53 (2019). MSC: 06D22 06A12 03G10 PDF BibTeX XML Cite \textit{K. S. Sabna} and \textit{N. R. Mangalambal}, Arch. Math., Brno 55, No. 1, 43--53 (2019; Zbl 07088757) Full Text: DOI
Picado, Jorge; Pultr, Aleš; Tozzi, Anna Joins of closed sublocales. (English) Zbl 07084652 Houston J. Math. 45, No. 1, 21-38 (2019). MSC: 06D22 54D10 PDF BibTeX XML Cite \textit{J. Picado} et al., Houston J. Math. 45, No. 1, 21--38 (2019; Zbl 07084652)
Bhattacharjee, Papiya Maximal \(d\)-elements of an algebraic frame. (English) Zbl 1435.06007 Order 36, No. 2, 377-390 (2019). Reviewer: Martin Mandirevesa Mugochi (Windhoek) MSC: 06D22 54D80 PDF BibTeX XML Cite \textit{P. Bhattacharjee}, Order 36, No. 2, 377--390 (2019; Zbl 1435.06007) Full Text: DOI
Ciraulo, Francesco; Sambin, Giovanni Reducibility, a constructive dual of spatiality. (English) Zbl 1422.54001 J. Log. Anal. 11, Article FT1, 26 p. (2019). Reviewer: Martin Mandirevesa Mugochi (Windhoek) MSC: 54A05 03F55 54H12 06D22 PDF BibTeX XML Cite \textit{F. Ciraulo} and \textit{G. Sambin}, J. Log. Anal. 11, Article FT1, 26 p. (2019; Zbl 1422.54001) Full Text: Link
Dube, Themba; Sithole, Lindiwe On the sublocale of an algebraic frame induced by the \(d\)-nucleus. (English) Zbl 07081127 Topology Appl. 263, 90-106 (2019). MSC: 06D22 13A15 PDF BibTeX XML Cite \textit{T. Dube} and \textit{L. Sithole}, Topology Appl. 263, 90--106 (2019; Zbl 07081127) Full Text: DOI
Frith, John; Schauerte, Anneliese Partial frames and filter spaces. (English) Zbl 07081125 Topology Appl. 263, 61-73 (2019). MSC: 06B10 06D22 18A40 54A05 54D80 PDF BibTeX XML Cite \textit{J. Frith} and \textit{A. Schauerte}, Topology Appl. 263, 61--73 (2019; Zbl 07081125) Full Text: DOI
Hirata, Ayana; Ishihara, Hajime; Kawai, Tatsuji; Nemoto, Takako Equivalents of the finitary non-deterministic inductive definitions. (English) Zbl 07078386 Ann. Pure Appl. Logic 170, No. 10, 1256-1272 (2019). MSC: 03E70 03F50 54A05 06D22 PDF BibTeX XML Cite \textit{A. Hirata} et al., Ann. Pure Appl. Logic 170, No. 10, 1256--1272 (2019; Zbl 07078386) Full Text: DOI arXiv
Jakl, Tomáš; Jung, Achim; Pultr, Aleš Quotients of d-frames. (English) Zbl 1423.18008 Appl. Categ. Struct. 27, No. 3, 261-275 (2019). MSC: 18A32 06D22 PDF BibTeX XML Cite \textit{T. Jakl} et al., Appl. Categ. Struct. 27, No. 3, 261--275 (2019; Zbl 1423.18008) Full Text: DOI
Georgiou, Dimitrios N.; Iliadis, Stavros D.; Megaritis, Athanasios C.; Sereti, Fotini Small inductive dimension and universality on frames. (English) Zbl 07059669 Algebra Univers. 80, No. 2, Paper No. 21, 16 p. (2019). MSC: 06A06 06D22 06F30 54H12 54F05 PDF BibTeX XML Cite \textit{D. N. Georgiou} et al., Algebra Univers. 80, No. 2, Paper No. 21, 16 p. (2019; Zbl 07059669) Full Text: DOI
Madden, James J.; Mugochi, Martin Paralocalic groups. (English) Zbl 1439.06006 Topology Appl. 259, 275-282 (2019). Reviewer: Jorge Picado (Coimbra) MSC: 06D22 18C40 22A05 54H11 PDF BibTeX XML Cite \textit{J. J. Madden} and \textit{M. Mugochi}, Topology Appl. 259, 275--282 (2019; Zbl 1439.06006) Full Text: DOI
Cvetko-Vah, Karin Noncommutative frames. (English) Zbl 07053468 J. Algebra Appl. 18, No. 1, Article ID 1950011, 13 p. (2019). MSC: 06D75 06D22 PDF BibTeX XML Cite \textit{K. Cvetko-Vah}, J. Algebra Appl. 18, No. 1, Article ID 1950011, 13 p. (2019; Zbl 07053468) Full Text: DOI arXiv
Ball, R. N.; Hager, A. W. The completeness characterization of \(C(\mathcal {L})\), \(\mathcal {L}\) a locale. (English) Zbl 07053423 Positivity 23, No. 1, 89-95 (2019). MSC: 06D22 06F20 18A40 46A40 46E05 54A20 54B35 54C30 PDF BibTeX XML Cite \textit{R. N. Ball} and \textit{A. W. Hager}, Positivity 23, No. 1, 89--95 (2019; Zbl 07053423) Full Text: DOI
Abedi, Mostafa Concerning real-closed ideals in \(\mathcal{R} L\) and SV-frames. (English) Zbl 07047530 Topology Appl. 258, 402-414 (2019). MSC: 06D22 54C40 06F25 13A18 PDF BibTeX XML Cite \textit{M. Abedi}, Topology Appl. 258, 402--414 (2019; Zbl 07047530) Full Text: DOI
Kawai, Tatsuji; Sambin, Giovanni The principle of pointfree continuity. (English) Zbl 1432.03129 Log. Methods Comput. Sci. 15, No. 1, Paper No. 22, 25 p. (2019). MSC: 03F60 06D22 54C05 PDF BibTeX XML Cite \textit{T. Kawai} and \textit{G. Sambin}, Log. Methods Comput. Sci. 15, No. 1, Paper No. 22, 25 p. (2019; Zbl 1432.03129) Full Text: arXiv
Gutiérrez García, Javier; Mozo Carollo, Imanol; Picado, Jorge; Walters-Wayland, Joanne Hedgehog frames and a cardinal extension of normality. (English) Zbl 07032805 J. Pure Appl. Algebra 223, No. 6, 2345-2370 (2019). MSC: 06D22 54D15 54C10 PDF BibTeX XML Cite \textit{J. Gutiérrez García} et al., J. Pure Appl. Algebra 223, No. 6, 2345--2370 (2019; Zbl 07032805) Full Text: DOI
Höhle, Ulrich Modules in the category Sup. (English) Zbl 1429.03169 Saminger-Platz, Susanne (ed.) et al., On logical, algebraic, and probabilistic aspects of fuzzy set theory. Cham: Springer. Stud. Fuzziness Soft Comput. 336, 23-56 (2018). MSC: 03E72 06D22 06F07 18B35 18M05 PDF BibTeX XML Cite \textit{U. Höhle}, Stud. Fuzziness Soft Comput. 336, 23--56 (2018; Zbl 1429.03169) Full Text: DOI
Reshma M. T., Elizabeth; Johnson, T. P. A note on properties inherited by singly generated extension of frames. (English) Zbl 1432.06004 Bull. Allahabad Math. Soc. 33, No. 2, 237-250 (2018). MSC: 06D22 54A20 54D30 54D10 PDF BibTeX XML Cite \textit{E. Reshma M. T.} and \textit{T. P. Johnson}, Bull. Allahabad Math. Soc. 33, No. 2, 237--250 (2018; Zbl 1432.06004)
Ighedo, O. A note on middle \(P\)-spaces and related rings. (English) Zbl 1433.54020 Bull. Iran. Math. Soc. 44, No. 5, 1195-1209 (2018). MSC: 54G05 13A15 13F25 06D22 PDF BibTeX XML Cite \textit{O. Ighedo}, Bull. Iran. Math. Soc. 44, No. 5, 1195--1209 (2018; Zbl 1433.54020) Full Text: DOI
Dube, Themba; Ighedo, Oghenetega Concerning the summand intersection property in function rings. (English) Zbl 1407.13003 Houston J. Math. 44, No. 3, 1029-1049 (2018). MSC: 13A15 06D22 54D05 54G99 PDF BibTeX XML Cite \textit{T. Dube} and \textit{O. Ighedo}, Houston J. Math. 44, No. 3, 1029--1049 (2018; Zbl 1407.13003)
Ciraulo, Francesco; Sambin, Giovanni Embedding locales and formal topologies into positive topologies. (English) Zbl 07001415 Arch. Math. Logic 57, No. 7-8, 755-768 (2018). MSC: 06D22 03F65 06B23 PDF BibTeX XML Cite \textit{F. Ciraulo} and \textit{G. Sambin}, Arch. Math. Logic 57, No. 7--8, 755--768 (2018; Zbl 07001415) Full Text: DOI
Picado, Jorge; Pultr, Aleš Entourages, density, Cauchy maps, and completion. (English) Zbl 1451.06004 Appl. Categ. Struct. 26, No. 6, 1305-1324 (2018). MSC: 06D22 18F60 54E15 54D35 PDF BibTeX XML Cite \textit{J. Picado} and \textit{A. Pultr}, Appl. Categ. Struct. 26, No. 6, 1305--1324 (2018; Zbl 1451.06004) Full Text: DOI
Baboolal, D.; Mugochi, M. M. Some notes on connectedness in nearness frames. (English) Zbl 1436.06018 Quaest. Math. 41, No. 7, 889-902 (2018). MSC: 06D22 54E17 54D05 PDF BibTeX XML Cite \textit{D. Baboolal} and \textit{M. M. Mugochi}, Quaest. Math. 41, No. 7, 889--902 (2018; Zbl 1436.06018) Full Text: DOI
Ebrahimi, M. M.; Mahmoudi, M.; Nejah, A. H. \(T_0\) topological spaces and \(T_0\) posets in the topos of \(M\)-Sets. (English) Zbl 1404.18006 Theory Appl. Categ. 33, 1059-1071 (2018). Reviewer: Ali Madanshekaf (Semnan) MSC: 18A40 18B25 06A06 06D22 54D10 20M30 PDF BibTeX XML Cite \textit{M. M. Ebrahimi} et al., Theory Appl. Categ. 33, 1059--1071 (2018; Zbl 1404.18006) Full Text: Link
Borzooei, Rajabali A.; Hosseini, Fateme; Zahiri, Omid Convex \(L\)-lattice subgroups in \(L\)-ordered groups. (English) Zbl 1403.06025 Categ. Gen. Algebr. Struct. Appl. 9, No. 1, 139-161 (2018). MSC: 06F15 06D22 PDF BibTeX XML Cite \textit{R. A. Borzooei} et al., Categ. Gen. Algebr. Struct. Appl. 9, No. 1, 139--161 (2018; Zbl 1403.06025) Full Text: Link
Karimi Feizabadi, Abolghasem; Estaji, Ali Akbar; Robat Sarpoushi, Maryam Pointfree topology version of image of real-valued continuous functions. (English) Zbl 1452.06007 Categ. Gen. Algebr. Struct. Appl. 9, No. 1, 59-75 (2018). MSC: 06D22 54C30 PDF BibTeX XML Cite \textit{A. Karimi Feizabadi} et al., Categ. Gen. Algebr. Struct. Appl. 9, No. 1, 59--75 (2018; Zbl 1452.06007) Full Text: Link
Estaji, Ali Akbar; Abedi, Mostafa On injectivity of the ring of real-valued continuous functions on a frame. (English) Zbl 1452.06006 Bull. Belg. Math. Soc. - Simon Stevin 25, No. 3, 467-480 (2018). MSC: 06D22 13J20 16D25 16D50 54C30 54G05 PDF BibTeX XML Cite \textit{A. A. Estaji} and \textit{M. Abedi}, Bull. Belg. Math. Soc. - Simon Stevin 25, No. 3, 467--480 (2018; Zbl 1452.06006) Full Text: Euclid
Frith, John L.; Schauerte, Anneliese The congruence frame and the Madden quotient for partial frames. (English) Zbl 06968532 Algebra Univers. 79, No. 3, Paper No. 73, 27 p. (2018). MSC: 06B10 06D22 PDF BibTeX XML Cite \textit{J. L. Frith} and \textit{A. Schauerte}, Algebra Univers. 79, No. 3, Paper No. 73, 27 p. (2018; Zbl 06968532) Full Text: DOI
Abedi, Mostafa A note on weakly Lindelöf frames. (English) Zbl 1436.06016 Quaest. Math. 41, No. 6, 745-760 (2018). MSC: 06D22 54D20 54D60 PDF BibTeX XML Cite \textit{M. Abedi}, Quaest. Math. 41, No. 6, 745--760 (2018; Zbl 1436.06016) Full Text: DOI
Frith, John; Schauerte, Anneliese Meet-semilattice congruences on a frame. (English) Zbl 06954312 Appl. Categ. Struct. 26, No. 5, 997-1013 (2018). MSC: 06B10 06D22 PDF BibTeX XML Cite \textit{J. Frith} and \textit{A. Schauerte}, Appl. Categ. Struct. 26, No. 5, 997--1013 (2018; Zbl 06954312) Full Text: DOI
Clementino, Maria Manuel; Picado, Jorge; Pultr, Aleš Correction to: “The other closure and complete sublocales”. (English) Zbl 06954308 Appl. Categ. Struct. 26, No. 5, 907-908 (2018). MSC: 06D22 54B05 54D10 PDF BibTeX XML Cite \textit{M. M. Clementino} et al., Appl. Categ. Struct. 26, No. 5, 907--908 (2018; Zbl 06954308) Full Text: DOI
Clementino, Maria Manuel; Picado, Jorge; Pultr, Aleš The other closure and complete sublocales. (English) Zbl 06954307 Appl. Categ. Struct. 26, No. 5, 891-906 (2018); correction ibid. 26, No. 5, 907-908 (2018). MSC: 06D22 54B05 54D10 PDF BibTeX XML Cite \textit{M. M. Clementino} et al., Appl. Categ. Struct. 26, No. 5, 891--906 (2018; Zbl 06954307) Full Text: DOI
Banaschewski, B. Remarks concerning certain function rings in pointfree topology. (English) Zbl 1403.06012 Appl. Categ. Struct. 26, No. 5, 873-881 (2018). Reviewer: Jorge Picado (Coimbra) MSC: 06D22 06F25 54C40 PDF BibTeX XML Cite \textit{B. Banaschewski}, Appl. Categ. Struct. 26, No. 5, 873--881 (2018; Zbl 1403.06012) Full Text: DOI
Balbiani, Philippe; Georgiev, Dimiter; Tinchev, Tinko Modal correspondence theory in the class of all Euclidean frames. (English) Zbl 1444.03042 J. Log. Comput. 28, No. 1, 119-131 (2018). MSC: 03B45 06D22 03B25 PDF BibTeX XML Cite \textit{P. Balbiani} et al., J. Log. Comput. 28, No. 1, 119--131 (2018; Zbl 1444.03042) Full Text: DOI
Estaji, Ali Asghar; Hashemi, Ebrahim; Estaji, Ali Akbar On property (A) and the socle of the \(f\)-ring \(Frm(mathcal{P}(mathbb R), L)\). (English) Zbl 06945023 Categ. Gen. Algebr. Struct. Appl. 8, No. 1, 61-80 (2018). MSC: 06D22 06F25 PDF BibTeX XML Cite \textit{A. A. Estaji} et al., Categ. Gen. Algebr. Struct. Appl. 8, No. 1, 61--80 (2018; Zbl 06945023) Full Text: Link
Banaschewski, Bernhard On the pointfree counterpart of the local definition of classical continuous maps. (English) Zbl 06945018 Categ. Gen. Algebr. Struct. Appl. 8, No. 1, 1-8 (2018). MSC: 06D22 54C05 PDF BibTeX XML Cite \textit{B. Banaschewski}, Categ. Gen. Algebr. Struct. Appl. 8, No. 1, 1--8 (2018; Zbl 06945018) Full Text: Link
Manuell, Graham Strictly zero-dimensional biframes and a characterisation of congruence frames. (English) Zbl 06916412 Appl. Categ. Struct. 26, No. 4, 645-655 (2018). MSC: 06D22 06B10 54E55 54F65 18B30 PDF BibTeX XML Cite \textit{G. Manuell}, Appl. Categ. Struct. 26, No. 4, 645--655 (2018; Zbl 06916412) Full Text: DOI
Korkmaz, Esra; Ertürk, Rıza Separation axioms in diframes. (English) Zbl 1413.06015 Eur. J. Pure Appl. Math. 11, No. 3, 612-627 (2018). MSC: 06D22 54A05 54D10 54E55 PDF BibTeX XML Cite \textit{E. Korkmaz} and \textit{R. Ertürk}, Eur. J. Pure Appl. Math. 11, No. 3, 612--627 (2018; Zbl 1413.06015) Full Text: Link
Ferreira, Maria João; Picado, Jorge; Pinto, Sandra Marques Remainders in pointfree topology. (English) Zbl 06910243 Topology Appl. 245, 21-45 (2018). MSC: 06D22 06D20 54D40 54C10 PDF BibTeX XML Cite \textit{M. J. Ferreira} et al., Topology Appl. 245, 21--45 (2018; Zbl 06910243) Full Text: DOI
Banaschewski, B. On the maps of pointfree topology which preserve the rings of integervalued continuous functions. (English) Zbl 06909432 Appl. Categ. Struct. 26, No. 3, 477-489 (2018). MSC: 06D22 06F25 PDF BibTeX XML Cite \textit{B. Banaschewski}, Appl. Categ. Struct. 26, No. 3, 477--489 (2018; Zbl 06909432) Full Text: DOI