Marra, Vincenzo; Menni, Matías Separable MV-algebras and lattice-ordered groups. (English) Zbl 07818592 J. Algebra 646, 66-99 (2024). MSC: 06D35 06F20 18B50 12F10 PDFBibTeX XMLCite \textit{V. Marra} and \textit{M. Menni}, J. Algebra 646, 66--99 (2024; Zbl 07818592) Full Text: DOI arXiv
Mundici, Daniele Yosida frames in free abelian \(\ell \)-groups. (English) Zbl 07739998 J. Algebra 635, 689-697 (2023). MSC: 06D35 06D22 06F20 20F60 PDFBibTeX XMLCite \textit{D. Mundici}, J. Algebra 635, 689--697 (2023; Zbl 07739998) Full Text: DOI
Dietzel, Carsten; Rump, Wolfgang; Zhang, Xia One-sided orthogonality, orthomodular spaces, quantum sets, and a class of Garside groups. (English) Zbl 1416.51004 J. Algebra 526, 51-80 (2019). Reviewer: Et-Taoui, Boumédiène (Lutterbach) MSC: 51F20 51D25 05B35 81P10 46L51 PDFBibTeX XMLCite \textit{C. Dietzel} et al., J. Algebra 526, 51--80 (2019; Zbl 1416.51004) Full Text: DOI
Rump, Wolfgang Decomposition of Garside groups and self-similar \(L\)-algebras. (English) Zbl 1434.20025 J. Algebra 485, 118-141 (2017). MSC: 20F60 20M30 20F36 08A05 05E18 PDFBibTeX XMLCite \textit{W. Rump}, J. Algebra 485, 118--141 (2017; Zbl 1434.20025) Full Text: DOI
Rump, Wolfgang; Yang, Yichuan Hereditary arithmetics. (English) Zbl 1400.20058 J. Algebra 468, 214-252 (2016). MSC: 20M13 06F07 08A05 11A51 16E60 PDFBibTeX XMLCite \textit{W. Rump} and \textit{Y. Yang}, J. Algebra 468, 214--252 (2016; Zbl 1400.20058) Full Text: DOI
Botur, Michal; Kühr, Jan; Liu, Lianzhen; Tsinakis, Constantine The Conrad program: from \(l\)-groups to algebras of logic. (English) Zbl 1337.06006 J. Algebra 450, 173-203 (2016). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F05 06F15 03G10 03B47 08B15 PDFBibTeX XMLCite \textit{M. Botur} et al., J. Algebra 450, 173--203 (2016; Zbl 1337.06006) Full Text: DOI arXiv
Rump, Wolfgang Right \(l\)-groups, geometric Garside groups, and solutions of the quantum Yang-Baxter equation. (English) Zbl 1360.20030 J. Algebra 439, 470-510 (2015). MSC: 20F36 20F60 06F05 20M30 16T25 PDFBibTeX XMLCite \textit{W. Rump}, J. Algebra 439, 470--510 (2015; Zbl 1360.20030) Full Text: DOI
Caramello, O.; Russo, A. C. The Morita-equivalence between MV-algebras and lattice-ordered abelian groups with strong unit. (English) Zbl 1320.06011 J. Algebra 422, 752-787 (2015). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 18B25 18C10 18F20 06F20 03G30 PDFBibTeX XMLCite \textit{O. Caramello} and \textit{A. C. Russo}, J. Algebra 422, 752--787 (2015; Zbl 1320.06011) Full Text: DOI arXiv
Gehrke, Mai; van Gool, Samuel J.; Marra, Vincenzo Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality. (English) Zbl 1300.06001 J. Algebra 417, 290-332 (2014). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F20 06D50 18F20 54B40 PDFBibTeX XMLCite \textit{M. Gehrke} et al., J. Algebra 417, 290--332 (2014; Zbl 1300.06001) Full Text: DOI arXiv
Cabrer, Leonardo; Mundici, Daniele Finitely presented lattice-ordered abelian groups with order-unit. (English) Zbl 1261.06022 J. Algebra 343, No. 1, 1-10 (2011). Reviewer: Yichuan Yang (Beijing) MSC: 06F20 08B30 PDFBibTeX XMLCite \textit{L. Cabrer} and \textit{D. Mundici}, J. Algebra 343, No. 1, 1--10 (2011; Zbl 1261.06022) Full Text: DOI arXiv
Schwartz, Niels; Yang, Yichuan Fields with directed partial orders. (English) Zbl 1269.12005 J. Algebra 336, No. 1, 342-348 (2011). MSC: 12J15 06F25 PDFBibTeX XMLCite \textit{N. Schwartz} and \textit{Y. Yang}, J. Algebra 336, No. 1, 342--348 (2011; Zbl 1269.12005) Full Text: DOI
Ma, Jingjing; March, Ellen Lattice-ordered triangular matrix algebras. (English) Zbl 1177.06024 J. Algebra 321, No. 12, 3659-3667 (2009). Reviewer: Heinz Mitsch (Wien) MSC: 06F25 15A30 PDFBibTeX XMLCite \textit{J. Ma} and \textit{E. March}, J. Algebra 321, No. 12, 3659--3667 (2009; Zbl 1177.06024) Full Text: DOI
Rump, Wolfgang \(L\)-algebras, self-similarity, and \(l\)-groups. (English) Zbl 1158.06009 J. Algebra 320, No. 6, 2328-2348 (2008). Reviewer: Yichuan Yang (Beijing) MSC: 06F15 06D35 03G25 81R50 PDFBibTeX XMLCite \textit{W. Rump}, J. Algebra 320, No. 6, 2328--2348 (2008; Zbl 1158.06009) Full Text: DOI
Hrushovski, Ehud; Point, Françoise On von Neumann regular rings with an automorphism. (English) Zbl 1127.03033 J. Algebra 315, No. 1, 76-120 (2007). Reviewer: Carlo Toffalori (Camerino) MSC: 03C60 03B25 03C10 13C05 16B70 16E30 PDFBibTeX XMLCite \textit{E. Hrushovski} and \textit{F. Point}, J. Algebra 315, No. 1, 76--120 (2007; Zbl 1127.03033) Full Text: DOI
Cignoli, Roberto; Mundici, Daniele Stone duality for Dedekind \(\sigma\)-complete \(\ell\)-groups with order-unit. (English) Zbl 1108.06011 J. Algebra 302, No. 2, 848-861 (2006). Reviewer: Jiří Rachůnek (Olomouc) MSC: 06F20 06D35 06F15 06D50 PDFBibTeX XMLCite \textit{R. Cignoli} and \textit{D. Mundici}, J. Algebra 302, No. 2, 848--861 (2006; Zbl 1108.06011) Full Text: DOI
Ma, Jingjing Lattice-ordered algebras with a \(d\)-basis. (English) Zbl 1098.06012 J. Algebra 299, No. 2, 731-746 (2006). MSC: 06F25 06F20 PDFBibTeX XMLCite \textit{J. Ma}, J. Algebra 299, No. 2, 731--746 (2006; Zbl 1098.06012) Full Text: DOI
Yang, Yichuan On the existence of directed rings and algebras with negative squares. (English) Zbl 1092.06016 J. Algebra 295, No. 2, 452-457 (2006). Reviewer: Heinz Mitsch (Wien) MSC: 06F25 16W80 12J15 13J25 PDFBibTeX XMLCite \textit{Y. Yang}, J. Algebra 295, No. 2, 452--457 (2006; Zbl 1092.06016) Full Text: DOI
Galatos, Nikolaos; Tsinakis, Constantine Generalized MV-algebras. (English) Zbl 1063.06008 J. Algebra 283, No. 1, 254-291 (2005). Reviewer: Jan Jakubík (Košice) MSC: 06D35 06F15 03B25 PDFBibTeX XMLCite \textit{N. Galatos} and \textit{C. Tsinakis}, J. Algebra 283, No. 1, 254--291 (2005; Zbl 1063.06008) Full Text: DOI
Di Nola, Antonio; Flondor, Paul; Leuştean, Ioana MV-modules. (English) Zbl 1025.06009 J. Algebra 267, No. 1, 21-40 (2003). Reviewer: Jan Jakubík (Košice) MSC: 06D35 06F25 PDFBibTeX XMLCite \textit{A. Di Nola} et al., J. Algebra 267, No. 1, 21--40 (2003; Zbl 1025.06009) Full Text: DOI
Ma, Jingjing; Steinberg, Stuart A. Construction of lattice orders on the semigroup ring of a positive rooted monoid. (English) Zbl 1020.06008 J. Algebra 260, No. 2, 592-616 (2003). Reviewer: H.Mitsch (Wien) MSC: 06F25 PDFBibTeX XMLCite \textit{J. Ma} and \textit{S. A. Steinberg}, J. Algebra 260, No. 2, 592--616 (2003; Zbl 1020.06008) Full Text: DOI
Aglianò, P.; Panti, G. Geometrical methods in Wajsberg hoops. (English) Zbl 1025.06014 J. Algebra 256, No. 2, 352-374 (2002). Reviewer: Ivan Chajda (Přerov) MSC: 06F05 06D35 PDFBibTeX XMLCite \textit{P. Aglianò} and \textit{G. Panti}, J. Algebra 256, No. 2, 352--374 (2002; Zbl 1025.06014) Full Text: DOI
Montagna, Franco Functorial representation theorems for MV\(_\Delta\) algebras with additional operators. (English) Zbl 0987.06012 J. Algebra 238, No. 1, 99-125 (2001). Reviewer: Daniele Mundici (Milano) MSC: 06D35 03E72 03B52 PDFBibTeX XMLCite \textit{F. Montagna}, J. Algebra 238, No. 1, 99--125 (2001; Zbl 0987.06012) Full Text: DOI Link
Dickmann, M.; Gluschankof, D.; Lucas, F. The order structure of the real spectrum of commutative rings. (English) Zbl 0962.13024 J. Algebra 229, No. 1, 175-204 (2000). Reviewer: Joseph Neggers (Tuscaloosa) MSC: 13J25 14P05 06F25 PDFBibTeX XMLCite \textit{M. Dickmann} et al., J. Algebra 229, No. 1, 175--204 (2000; Zbl 0962.13024) Full Text: DOI
Marra, Vincenzo Every Abelian \(\ell\)-group is ultrasimplicial. (English) Zbl 0955.06013 J. Algebra 225, No. 2, 872-884 (2000). Reviewer: Nikolai Yakovle Medvedev (Barnaul) MSC: 06F20 PDFBibTeX XMLCite \textit{V. Marra}, J. Algebra 225, No. 2, 872--884 (2000; Zbl 0955.06013) Full Text: DOI
Gispert i Brasó, Joan; Mundici, Daniele; Torrens Torrell, Antoni Ultraproducts of \(\mathbb{Z}\) with an application to many-valued logics. (English) Zbl 0937.06008 J. Algebra 219, No. 1, 214-233 (1999). Reviewer: L.Esakia (Tbilisi) MSC: 06D35 03B50 20F60 06F20 03C20 03G25 PDFBibTeX XMLCite \textit{J. Gispert i Brasó} et al., J. Algebra 219, No. 1, 214--233 (1999; Zbl 0937.06008) Full Text: DOI
Panti, Giovanni Prime ideals in free \(\ell\)-groups and free vector lattices. (English) Zbl 0972.06011 J. Algebra 219, No. 1, 173-200 (1999). MSC: 06F20 46A40 06D35 PDFBibTeX XMLCite \textit{G. Panti}, J. Algebra 219, No. 1, 173--200 (1999; Zbl 0972.06011) Full Text: DOI
Mundici, Daniele Classes of ultrasimplicial lattice-ordered abelian groups. (English) Zbl 0918.06009 J. Algebra 213, No. 2, 596-603 (1999). Reviewer: J.Rachůnek (Olomouc) MSC: 06F20 PDFBibTeX XMLCite \textit{D. Mundici}, J. Algebra 213, No. 2, 596--603 (1999; Zbl 0918.06009) Full Text: DOI
Conrad, Paul F.; Darnel, Michael R.; Nelson, David G. Valuations of lattice-ordered groups. (English) Zbl 0880.06007 J. Algebra 192, No. 1, 380-411 (1997). Reviewer: G.Buskes (University) MSC: 06F15 PDFBibTeX XMLCite \textit{P. F. Conrad} et al., J. Algebra 192, No. 1, 380--411 (1997; Zbl 0880.06007) Full Text: DOI
Redfield, R. H. Lattice-ordered fields as convolution algebras. (English) Zbl 0785.06012 J. Algebra 153, No. 2, 319-356 (1992). Reviewer: N.Schwartz (Passau) MSC: 06F25 12J15 PDFBibTeX XMLCite \textit{R. H. Redfield}, J. Algebra 153, No. 2, 319--356 (1992; Zbl 0785.06012) Full Text: DOI
Larson, Suzanne Minimal convex extensions and intersections of primary I-ideals in f-rings. (English) Zbl 0676.06023 J. Algebra 123, No. 1, 99-110 (1989). Reviewer: V.Zakharov MSC: 06F25 16W80 PDFBibTeX XMLCite \textit{S. Larson}, J. Algebra 123, No. 1, 99--110 (1989; Zbl 0676.06023) Full Text: DOI
Mundici, Daniele Free products in the category of Abelian \(\ell\)-groups with strong unit. (English) Zbl 0658.06010 J. Algebra 113, No. 1, 89-109 (1988). Reviewer: S.Hurd MSC: 06F20 20E06 46L80 PDFBibTeX XMLCite \textit{D. Mundici}, J. Algebra 113, No. 1, 89--109 (1988; Zbl 0658.06010) Full Text: DOI
Anderson, Marlow; Watkins, John Coherence and power series rings over pseudo-Bezout domains. (English) Zbl 0611.13015 J. Algebra 107, 187-194 (1987). Reviewer: D.Kirby MSC: 13E15 13F25 13F30 12J25 PDFBibTeX XMLCite \textit{M. Anderson} and \textit{J. Watkins}, J. Algebra 107, 187--194 (1987; Zbl 0611.13015) Full Text: DOI
Steinberg, Stuart A. On the unitability of a class of partially ordered rings that have squares positive. (English) Zbl 0588.06012 J. Algebra 100, 325-343 (1986). Reviewer: J.R.Isbell MSC: 06F25 16W80 PDFBibTeX XMLCite \textit{S. A. Steinberg}, J. Algebra 100, 325--343 (1986; Zbl 0588.06012) Full Text: DOI
Mundici, Daniele Mapping Abelian \(\ell\)-groups with strong unit one-one into MV algebras. (English) Zbl 0579.06016 J. Algebra 98, 76-81 (1986). Reviewer: S.Rudeanu MSC: 06F20 03G20 03G25 46L05 PDFBibTeX XMLCite \textit{D. Mundici}, J. Algebra 98, 76--81 (1986; Zbl 0579.06016) Full Text: DOI
Huss, M. E.; Reilly, N. R. On reversing the order of a lattice ordered group. (English) Zbl 0543.06004 J. Algebra 91, 176-191 (1984). Reviewer: A.M.W.Glass MSC: 06F15 06B20 08B15 PDFBibTeX XMLCite \textit{M. E. Huss} and \textit{N. R. Reilly}, J. Algebra 91, 176--191 (1984; Zbl 0543.06004) Full Text: DOI
Wolfenstein, Samuel Représentation d’une classe de groupes archimediens. (French) Zbl 0339.06012 J. Algebra 42, 199-207 (1976). MSC: 06F15 PDFBibTeX XMLCite \textit{S. Wolfenstein}, J. Algebra 42, 199--207 (1976; Zbl 0339.06012) Full Text: DOI
McCleary, S. H. Generalized wreath products viewed as sets with valuation. (English) Zbl 0213.30001 J. Algebra 16, 163-182 (1970). MSC: 20E22 PDFBibTeX XMLCite \textit{S. H. McCleary}, J. Algebra 16, 163--182 (1970; Zbl 0213.30001) Full Text: DOI