Karamdoust, Soudabeh; Myrnouri, Hassan; Pourgholamhossein, Mahmood On the Boolean algebra induced by a unital \(\ell\)-group. (English) Zbl 07808925 Algebra Univers. 85, No. 2, Paper No. 16, 15 p. (2024). MSC: 06F20 06D35 03G10 PDFBibTeX XMLCite \textit{S. Karamdoust} et al., Algebra Univers. 85, No. 2, Paper No. 16, 15 p. (2024; Zbl 07808925) Full Text: DOI
Aglianò, Paolo; Ugolini, Sara Projectivity in (bounded) commutative integral residuated lattices. (English) Zbl 07634431 Algebra Univers. 84, No. 1, Paper No. 2, 32 p. (2023). MSC: 08B30 03G25 06D20 06F35 PDFBibTeX XMLCite \textit{P. Aglianò} and \textit{S. Ugolini}, Algebra Univers. 84, No. 1, Paper No. 2, 32 p. (2023; Zbl 07634431) Full Text: DOI
Abbadini, Marco; Jipsen, Peter; Kroupa, Tomáš; Vannucci, Sara A finite axiomatization of positive MV-algebras. (English) Zbl 07556317 Algebra Univers. 83, No. 3, Paper No. 28, 15 p. (2022). MSC: 06D35 PDFBibTeX XMLCite \textit{M. Abbadini} et al., Algebra Univers. 83, No. 3, Paper No. 28, 15 p. (2022; Zbl 07556317) Full Text: DOI arXiv
Evans, C. Matthew Spectral properties of cBCK-algebras. (English) Zbl 1498.06038 Algebra Univers. 83, No. 3, Paper No. 25, 31 p. (2022). Reviewer: Wiesław A. Dudek (Wrocław) MSC: 06F35 PDFBibTeX XMLCite \textit{C. M. Evans}, Algebra Univers. 83, No. 3, Paper No. 25, 31 p. (2022; Zbl 1498.06038) Full Text: DOI arXiv
Abbadini, Marco Equivalence à la Mundici for commutative lattice-ordered monoids. (English) Zbl 07382709 Algebra Univers. 82, No. 3, Paper No. 45, 42 p. (2021). MSC: 06F05 54F05 03C05 PDFBibTeX XMLCite \textit{M. Abbadini}, Algebra Univers. 82, No. 3, Paper No. 45, 42 p. (2021; Zbl 07382709) Full Text: DOI arXiv
Ranjbar, Mohammad A.; Pourgholamhossein, Mahmood Filter and weak link topologies. (English) Zbl 1446.54020 Algebra Univers. 81, No. 3, Paper No. 41, 7 p. (2020). MSC: 54H11 06F30 PDFBibTeX XMLCite \textit{M. A. Ranjbar} and \textit{M. Pourgholamhossein}, Algebra Univers. 81, No. 3, Paper No. 41, 7 p. (2020; Zbl 1446.54020) Full Text: DOI
Lenzi, Giacomo; Di Nola, Antonio The spectrum problem for abelian \(\ell\)-groups and MV-algebras. (English) Zbl 1460.06002 Algebra Univers. 81, No. 3, Paper No. 39, 43 p. (2020). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F20 06D20 06D50 PDFBibTeX XMLCite \textit{G. Lenzi} and \textit{A. Di Nola}, Algebra Univers. 81, No. 3, Paper No. 39, 43 p. (2020; Zbl 1460.06002) Full Text: DOI arXiv
Dvurečenskij, Anatolij; Lachman, Dominik Lifting, \(n\)-dimensional spectral resolutions, and \(n\)-dimensional observables. (English) Zbl 1471.06006 Algebra Univers. 81, No. 3, Paper No. 34, 36 p. (2020). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F20 81P10 PDFBibTeX XMLCite \textit{A. Dvurečenskij} and \textit{D. Lachman}, Algebra Univers. 81, No. 3, Paper No. 34, 36 p. (2020; Zbl 1471.06006) Full Text: DOI arXiv
Dietzel, Carsten; Rump, Wolfgang The structure group of a non-degenerate effect algebra. (English) Zbl 1481.03068 Algebra Univers. 81, No. 2, Paper No. 27, 30 p. (2020). MSC: 03G12 06C15 08A55 81P10 06F15 46L51 PDFBibTeX XMLCite \textit{C. Dietzel} and \textit{W. Rump}, Algebra Univers. 81, No. 2, Paper No. 27, 30 p. (2020; Zbl 1481.03068) Full Text: DOI
Freytes, Hector The Cantor-Bernstein-Schröder theorem via universal algebra. (English) Zbl 1454.03087 Algebra Univers. 80, No. 2, Paper No. 17, 28 p. (2019). MSC: 03G10 06C15 06D35 PDFBibTeX XMLCite \textit{H. Freytes}, Algebra Univers. 80, No. 2, Paper No. 17, 28 p. (2019; Zbl 1454.03087) Full Text: DOI arXiv
Ledda, Antonio; Paoli, Francesco; Tsinakis, Constantine The Archimedean property: new horizons and perspectives. (English) Zbl 1522.06022 Algebra Univers. 79, No. 4, Paper No. 91, 30 p. (2018). MSC: 06D35 06F05 06F15 03G10 03B47 PDFBibTeX XMLCite \textit{A. Ledda} et al., Algebra Univers. 79, No. 4, Paper No. 91, 30 p. (2018; Zbl 1522.06022) Full Text: DOI
Kroupa, Tomáš Ordered group-valued probability, positive operators, and integral representations. (English) Zbl 1473.06014 Algebra Univers. 79, No. 4, Paper No. 86, 26 p. (2018). MSC: 06D35 06F20 47H07 PDFBibTeX XMLCite \textit{T. Kroupa}, Algebra Univers. 79, No. 4, Paper No. 86, 26 p. (2018; Zbl 1473.06014) Full Text: DOI arXiv
Botur, Michal; Dvurečenskij, Anatolij Kites and residuated lattices. (English) Zbl 1454.03086 Algebra Univers. 79, No. 4, Paper No. 83, 26 p. (2018). MSC: 03G10 03B50 PDFBibTeX XMLCite \textit{M. Botur} and \textit{A. Dvurečenskij}, Algebra Univers. 79, No. 4, Paper No. 83, 26 p. (2018; Zbl 1454.03086) Full Text: DOI arXiv
Petrovich, Alejandro Demiquantifiers on \(\ell \)-groups. (English) Zbl 1472.06021 Algebra Univers. 79, No. 3, Paper No. 69, 24 p. (2018). MSC: 06F15 03B50 03G20 06D35 PDFBibTeX XMLCite \textit{A. Petrovich}, Algebra Univers. 79, No. 3, Paper No. 69, 24 p. (2018; Zbl 1472.06021) Full Text: DOI
Di Nola, Antonio; Lenzi, Giacomo; Vitale, Gaetano Algebraic geometry for \(\ell \)-groups. (English) Zbl 1472.06023 Algebra Univers. 79, No. 3, Paper No. 64, 24 p. (2018). MSC: 06F20 03G25 08C05 14A99 PDFBibTeX XMLCite \textit{A. Di Nola} et al., Algebra Univers. 79, No. 3, Paper No. 64, 24 p. (2018; Zbl 1472.06023) Full Text: DOI
Mundici, Daniele Recognizing free generating sets of \(\ell\)-groups. (English) Zbl 1473.06016 Algebra Univers. 79, No. 2, Paper No. 24, 15 p. (2018). MSC: 06D35 06F15 06F20 20F10 20F60 20F05 PDFBibTeX XMLCite \textit{D. Mundici}, Algebra Univers. 79, No. 2, Paper No. 24, 15 p. (2018; Zbl 1473.06016) Full Text: DOI
Castaño, Diego N. Implicative subreducts of MV-algebras: free and weakly projective objects. (English) Zbl 1420.06017 Algebra Univers. 78, No. 4, 579-600 (2017). MSC: 06D30 06D35 08B20 08B30 57Q05 PDFBibTeX XMLCite \textit{D. N. Castaño}, Algebra Univers. 78, No. 4, 579--600 (2017; Zbl 1420.06017) Full Text: DOI
Boccuto, Antonio; Di Nola, Antonio; Vitale, Gaetano Affine representations of \(\ell\)-groups and MV-algebras. (English) Zbl 1420.06012 Algebra Univers. 78, No. 4, 563-577 (2017). MSC: 06B15 06F20 06D35 46B40 PDFBibTeX XMLCite \textit{A. Boccuto} et al., Algebra Univers. 78, No. 4, 563--577 (2017; Zbl 1420.06012) Full Text: DOI
Dvurečenskij, Anatolij; Zahiri, Omid When the lexicographic product of two po-groups has the Riesz decomposition property. (English) Zbl 1420.06027 Algebra Univers. 78, No. 1, 67-91 (2017). MSC: 06F15 06D35 06F20 03G12 PDFBibTeX XMLCite \textit{A. Dvurečenskij} and \textit{O. Zahiri}, Algebra Univers. 78, No. 1, 67--91 (2017; Zbl 1420.06027) Full Text: DOI arXiv
Belluce, Lawrence Peter; Di Nola, Antonio; Lenzi, Giacomo Relative subalgebras of MV-algebras. (English) Zbl 1420.06018 Algebra Univers. 77, No. 3, 345-360 (2017). MSC: 06D35 PDFBibTeX XMLCite \textit{L. P. Belluce} et al., Algebra Univers. 77, No. 3, 345--360 (2017; Zbl 1420.06018) Full Text: DOI
Nganou, Jean B. Stone MV-algebras and strongly complete MV-algebras. (English) Zbl 1420.06021 Algebra Univers. 77, No. 2, 147-161 (2017). MSC: 06D35 06E15 06D50 PDFBibTeX XMLCite \textit{J. B. Nganou}, Algebra Univers. 77, No. 2, 147--161 (2017; Zbl 1420.06021) Full Text: DOI arXiv
Dvurečenskij, Anatolij Lexicographic effect algebras. (English) Zbl 1350.03046 Algebra Univers. 75, No. 4, 451-480 (2016). Reviewer: Jānis Cīrulis (Riga) MSC: 03G12 06D35 06F15 PDFBibTeX XMLCite \textit{A. Dvurečenskij}, Algebra Univers. 75, No. 4, 451--480 (2016; Zbl 1350.03046) Full Text: DOI arXiv
Botur, Michal; Paseka, Jan Another proof of the completeness of the Łukasiewicz axioms and of the extensions of Di Nola’s theorem. (English) Zbl 1320.06010 Algebra Univers. 73, No. 3-4, 277-290 (2015). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 03B50 PDFBibTeX XMLCite \textit{M. Botur} and \textit{J. Paseka}, Algebra Univers. 73, No. 3--4, 277--290 (2015; Zbl 1320.06010) Full Text: DOI arXiv
Cabrer, L. M.; Priestley, H. A. Coproducts of distributive lattice-based algebras. (English) Zbl 1312.06009 Algebra Univers. 72, No. 3, 251-286 (2014). Reviewer: Florentina Chirteş (Craiova) MSC: 06D50 08C20 08B25 18A35 08C15 06D30 PDFBibTeX XMLCite \textit{L. M. Cabrer} and \textit{H. A. Priestley}, Algebra Univers. 72, No. 3, 251--286 (2014; Zbl 1312.06009) Full Text: DOI arXiv
Hager, Anthony W.; Kimber, Chawne M. Hyperarchimedean coproducts. (English) Zbl 1309.06011 Algebra Univers. 71, No. 4, 375-384 (2014). Reviewer: Grigore Călugăreanu (Cluj-Napoca) MSC: 06F20 18A30 18B30 PDFBibTeX XMLCite \textit{A. W. Hager} and \textit{C. M. Kimber}, Algebra Univers. 71, No. 4, 375--384 (2014; Zbl 1309.06011) Full Text: DOI
Cimadamore, Cecilia R.; Díaz Varela, J. Patricio Monadic MV-algebras. II: Monadic implicational subreducts. (English) Zbl 1408.06005 Algebra Univers. 71, No. 3, 201-219 (2014). MSC: 06D35 08B15 06D99 PDFBibTeX XMLCite \textit{C. R. Cimadamore} and \textit{J. P. Díaz Varela}, Algebra Univers. 71, No. 3, 201--219 (2014; Zbl 1408.06005) Full Text: DOI
Dvurečenskij, Anatolij; Kowalski, Tomasz Kites and pseudo BL-algebras. (English) Zbl 1314.06015 Algebra Univers. 71, No. 3, 235-260 (2014). Reviewer: Beloslav Riečan (Banská Bystrica) MSC: 06D35 03G12 06F15 03B50 PDFBibTeX XMLCite \textit{A. Dvurečenskij} and \textit{T. Kowalski}, Algebra Univers. 71, No. 3, 235--260 (2014; Zbl 1314.06015) Full Text: DOI arXiv
Young, William Projective objects in the categories of abelian \(\ell\)-groups and MV-algebras. (English) Zbl 1310.06013 Algebra Univers. 71, No. 2, 191-200 (2014). Reviewer: Daniele Mundici (Firenze) MSC: 06F20 06D35 08B20 PDFBibTeX XMLCite \textit{W. Young}, Algebra Univers. 71, No. 2, 191--200 (2014; Zbl 1310.06013) Full Text: DOI
Cimadamore, Cecilia R.; Díaz Varela, J. Patricio Monadic MV-algebras. I: A study of subvarieties. (English) Zbl 1408.06004 Algebra Univers. 71, No. 1, 71-100 (2014). MSC: 06D35 08B15 03G25 PDFBibTeX XMLCite \textit{C. R. Cimadamore} and \textit{J. P. Díaz Varela}, Algebra Univers. 71, No. 1, 71--100 (2014; Zbl 1408.06004) Full Text: DOI
Aguzzoli, Stefano; Cabrer, Leonardo M.; Marra, Vincenzo MV-algebras freely generated by finite Kleene algebras. (English) Zbl 1316.06013 Algebra Univers. 70, No. 3, 245-270 (2013). Reviewer: Giacomo Lenzi (Fisciano) MSC: 06D35 06D30 06D50 03G25 03C05 PDFBibTeX XMLCite \textit{S. Aguzzoli} et al., Algebra Univers. 70, No. 3, 245--270 (2013; Zbl 1316.06013) Full Text: DOI arXiv
Freytes, Hector Equational type characterization for \(\sigma\)-complete MV-algebras. (English) Zbl 1322.06009 Algebra Univers. 69, No. 2, 139-166 (2013). Reviewer: Giacomo Lenzi (Fisciano) MSC: 06D35 08A65 PDFBibTeX XMLCite \textit{H. Freytes}, Algebra Univers. 69, No. 2, 139--166 (2013; Zbl 1322.06009) Full Text: DOI
Castiglioni, José Luis; San Martín, Hernán Javier Algebras with implication and fusion: a different point of view. (English) Zbl 1325.06008 Algebra Univers. 69, No. 3, 237-256 (2013). Reviewer: Leonardo Manuel Cabrer (Firenze) MSC: 06D05 06D50 PDFBibTeX XMLCite \textit{J. L. Castiglioni} and \textit{H. J. San Martín}, Algebra Univers. 69, No. 3, 237--256 (2013; Zbl 1325.06008) Full Text: DOI
Chajda, Ivan; Kühr, Jan Finitely generated varieties of distributive effect algebras. (English) Zbl 1296.03037 Algebra Univers. 69, No. 3, 213-229 (2013). Reviewer: Anatolij Dvurečenskij (Bratislava) MSC: 03G12 06B20 06D35 PDFBibTeX XMLCite \textit{I. Chajda} and \textit{J. Kühr}, Algebra Univers. 69, No. 3, 213--229 (2013; Zbl 1296.03037) Full Text: DOI
Rump, Wolfgang; Yang, Yichuan Intervals in \(l\)-groups as \(L\)-algebras. (English) Zbl 1268.06012 Algebra Univers. 67, No. 2, 121-130 (2012). Reviewer: Lavinia Ciungu (Craiova) MSC: 06F15 06F05 03G25 PDFBibTeX XMLCite \textit{W. Rump} and \textit{Y. Yang}, Algebra Univers. 67, No. 2, 121--130 (2012; Zbl 1268.06012) Full Text: DOI
Botur, Michal; Chajda, Ivan There exist subdirectly irreducible commutative basic algebras of an arbitrary infinite cardinality which are not MV-algebras. (English) Zbl 1216.06008 Algebra Univers. 65, No. 2, 185-192 (2011). Reviewer: Claudia Mureşan (Rîmnicu Vîlcea) MSC: 06D35 03G25 PDFBibTeX XMLCite \textit{M. Botur} and \textit{I. Chajda}, Algebra Univers. 65, No. 2, 185--192 (2011; Zbl 1216.06008) Full Text: DOI
Abad, Manuel; Castaño, Diego N.; Díaz Varela, José Patricio MV-closures of Wajsberg hoops and applications. (English) Zbl 1206.06006 Algebra Univers. 64, No. 1-2, 213-230 (2010). Reviewer: Florentina Chirteş (Craiova) MSC: 06D35 03G25 06F05 PDFBibTeX XMLCite \textit{M. Abad} et al., Algebra Univers. 64, No. 1--2, 213--230 (2010; Zbl 1206.06006) Full Text: DOI
Busaniche, Manuela; Cabrer, Leonardo Manuel Canonicity in subvarieties of BL-algebras. (English) Zbl 1200.03049 Algebra Univers. 62, No. 4, 375-397 (2009). Reviewer: Dana Piciu (Craiova) MSC: 03G25 PDFBibTeX XMLCite \textit{M. Busaniche} and \textit{L. M. Cabrer}, Algebra Univers. 62, No. 4, 375--397 (2009; Zbl 1200.03049) Full Text: DOI
Darnel, Michael R.; Charles Holland, W. Solvable covers of the Boolean variety of unital \(\ell \)-groups. (English) Zbl 1209.06008 Algebra Univers. 62, No. 2-3, 185-199 (2009). Reviewer: Daniele Mundici (Firenze) MSC: 06F15 03C05 06D35 08B15 PDFBibTeX XMLCite \textit{M. R. Darnel} and \textit{W. Charles Holland}, Algebra Univers. 62, No. 2--3, 185--199 (2009; Zbl 1209.06008) Full Text: DOI
Cabrer, Leonardo Manuel; Mundici, Daniele Projective MV-algebras and rational polyhedra. (English) Zbl 1196.06004 Algebra Univers. 62, No. 1, 63-74 (2009). Reviewer: Florentina Chirteş (Craiova) MSC: 06D35 06F20 08B30 57Q05 57R05 PDFBibTeX XMLCite \textit{L. M. Cabrer} and \textit{D. Mundici}, Algebra Univers. 62, No. 1, 63--74 (2009; Zbl 1196.06004) Full Text: DOI
Fuchs, László Note on the construction of free MV-algebras. (English) Zbl 1196.06006 Algebra Univers. 62, No. 1, 45-49 (2009). Reviewer: Claudia Mureşan (Rîmnicu Vîlcea) MSC: 06D35 06F15 06F20 PDFBibTeX XMLCite \textit{L. Fuchs}, Algebra Univers. 62, No. 1, 45--49 (2009; Zbl 1196.06006) Full Text: DOI
Holland, W. Charles Continuum many top varieties of GMV-algebras and unital \(\ell \)-groups. (English) Zbl 1194.06008 Algebra Univers. 62, No. 1, 27-43 (2009). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F20 PDFBibTeX XMLCite \textit{W. C. Holland}, Algebra Univers. 62, No. 1, 27--43 (2009; Zbl 1194.06008) Full Text: DOI
Dvurečenskij, Anatolij; Holland, W. Charles Free products of unital \(\ell \)-groups and free products of generalized MV-algebras. (English) Zbl 1194.06007 Algebra Univers. 62, No. 1, 19-25 (2009). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F20 PDFBibTeX XMLCite \textit{A. Dvurečenskij} and \textit{W. C. Holland}, Algebra Univers. 62, No. 1, 19--25 (2009; Zbl 1194.06007) Full Text: DOI
Rump, Wolfgang A general Glivenko theorem. (English) Zbl 1185.03097 Algebra Univers. 61, No. 3-4, 455-473 (2009). Reviewer: Wiesław A. Dudek (Wrocław) MSC: 03G25 06D35 06F35 81R50 PDFBibTeX XMLCite \textit{W. Rump}, Algebra Univers. 61, No. 3--4, 455--473 (2009; Zbl 1185.03097) Full Text: DOI
Blok, W. J.; Pigozzi, D. On the structure of varieties with equationally definable principal congruences. III. (English) Zbl 0817.08004 Algebra Univers. 32, No. 4, 545-608 (1994). Reviewer: E.Fried (Budapest) MSC: 08B05 03G99 PDFBibTeX XMLCite \textit{W. J. Blok} and \textit{D. Pigozzi}, Algebra Univers. 32, No. 4, 545--608 (1994; Zbl 0817.08004) Full Text: DOI
Belluce, L. P. Semi-simple and complete MV-algebras. (English) Zbl 0756.06005 Algebra Univers. 29, No. 1, 1-9 (1992). Reviewer: D.Mundici (Milano) MSC: 06D30 03G20 06F20 03B50 PDFBibTeX XMLCite \textit{L. P. Belluce}, Algebra Univers. 29, No. 1, 1--9 (1992; Zbl 0756.06005) Full Text: DOI
Gluschankof, Daniel Prime deductive systems and injective objects in the algebras of Łukasiewicz infinite-valued calculi. (English) Zbl 0786.03048 Algebra Univers. 29, No. 3, 354-377 (1992). Reviewer: M.Abad (Bahia Blanca) MSC: 03G20 03B50 06D30 PDFBibTeX XMLCite \textit{D. Gluschankof}, Algebra Univers. 29, No. 3, 354--377 (1992; Zbl 0786.03048) Full Text: DOI