Di Nola, Antonio; Lenzi, Giacomo; Vitale, Gaetano; Giuntini, Roberto Expanding lattice ordered abelian groups to Riesz spaces. (English) Zbl 07478468 Math. Slovaca 72, No. 1, 1-10 (2022). MSC: 06D35 46A40 PDF BibTeX XML Cite \textit{A. Di Nola} et al., Math. Slovaca 72, No. 1, 1--10 (2022; Zbl 07478468) Full Text: DOI OpenURL
Ploščica, Miroslav Cevian properties in ideal lattices of abelian \(\ell\)-groups. (English) Zbl 07502643 Forum Math. 33, No. 6, 1651-1658 (2021). MSC: 06F20 08A30 06E15 PDF BibTeX XML Cite \textit{M. Ploščica}, Forum Math. 33, No. 6, 1651--1658 (2021; Zbl 07502643) Full Text: DOI OpenURL
Hager, Anthony W.; Scowcroft, Philip Adjoining a strong unit to an Archimedean lattice-ordered group. (English) Zbl 07430970 Order 38, No. 3, 455-472 (2021). MSC: 03E17 06F20 46A40 54C40 54D45 54H10 PDF BibTeX XML Cite \textit{A. W. Hager} and \textit{P. Scowcroft}, Order 38, No. 3, 455--472 (2021; Zbl 07430970) Full Text: DOI OpenURL
Wehrung, Friedrich From noncommutative diagrams to anti-elementary classes. (English) Zbl 1474.18004 J. Math. Log. 21, No. 2, Article ID 2150011, 56 p. (2021). Reviewer: Michel Hébert (Al-Qāhira) MSC: 18A30 03C52 03C75 18A35 03E05 06A07 06A12 06C20 06D22 06D35 06F20 08C05 08A30 16E20 16E50 PDF BibTeX XML Cite \textit{F. Wehrung}, J. Math. Log. 21, No. 2, Article ID 2150011, 56 p. (2021; Zbl 1474.18004) Full Text: DOI arXiv OpenURL
an Huef, Astrid; Laca, Marcelo; Raeburn, Iain Boundary quotients of the right Toeplitz algebra of the affine semigroup over the natural numbers. (English) Zbl 07402063 N. Z. J. Math. 52, 109-143 (2021). MSC: 46L55 46L05 46L30 47B35 46L35 PDF BibTeX XML Cite \textit{A. an Huef} et al., N. Z. J. Math. 52, 109--143 (2021; Zbl 07402063) Full Text: DOI arXiv OpenURL
Eriksson, Sirkka-Liisa; Jokela, Jani; Paunonen, Lassi Generalized absolute values, ideals and homomorphisms in mixed lattice groups. (English) Zbl 07382079 Positivity 25, No. 3, 939-972 (2021). MSC: 06F20 06F05 31D05 PDF BibTeX XML Cite \textit{S.-L. Eriksson} et al., Positivity 25, No. 3, 939--972 (2021; Zbl 07382079) Full Text: DOI OpenURL
Kroupa, Tomáš; Marra, Vincenzo The two-sorted algebraic theory of states, and the universal states of MV-algebras. (English) Zbl 07371438 J. Pure Appl. Algebra 225, No. 12, Article ID 106771, 21 p. (2021). MSC: 06D35 06F20 03C05 PDF BibTeX XML Cite \textit{T. Kroupa} and \textit{V. Marra}, J. Pure Appl. Algebra 225, No. 12, Article ID 106771, 21 p. (2021; Zbl 07371438) Full Text: DOI arXiv OpenURL
Lafuente-Rodriguez, Ramiro; McGovern, Warren Wm. When \(\mathrm{Min}(G)^{-1}\) has a clopen \(\pi\)-base. (English) Zbl 07332743 Math. Bohem. 146, No. 1, 69-89 (2021). MSC: 06F15 06F20 54Gxx PDF BibTeX XML Cite \textit{R. Lafuente-Rodriguez} and \textit{W. Wm. McGovern}, Math. Bohem. 146, No. 1, 69--89 (2021; Zbl 07332743) Full Text: DOI OpenURL
Wynne, Brian Construction of existentially closed abelian lattice-ordered groups using Fraïssé limits. (English) Zbl 07317151 Algebra Univers. 82, No. 1, Paper No. 18, 23 p. (2021). MSC: 03C60 03C25 06F20 PDF BibTeX XML Cite \textit{B. Wynne}, Algebra Univers. 82, No. 1, Paper No. 18, 23 p. (2021; Zbl 07317151) Full Text: DOI OpenURL
Gil-Férez, José; Lauridsen, Frederik Möllerström; Metcalfe, George Integrally closed residuated lattices. (English) Zbl 07346989 Stud. Log. 108, No. 5, 1063-1086 (2020). MSC: 03G10 06F35 03F03 03F05 06F15 PDF BibTeX XML Cite \textit{J. Gil-Férez} et al., Stud. Log. 108, No. 5, 1063--1086 (2020; Zbl 07346989) Full Text: DOI arXiv OpenURL
Boulabiar, Karim; Mahfoudhi, Mounir Unitization of a lattice ordered ring with a truncation. (English) Zbl 07311166 Quaest. Math. 43, No. 7, 841-856 (2020). MSC: 06F25 PDF BibTeX XML Cite \textit{K. Boulabiar} and \textit{M. Mahfoudhi}, Quaest. Math. 43, No. 7, 841--856 (2020; Zbl 07311166) Full Text: DOI arXiv OpenURL
Gil-Férez, José; Spada, Luca; Tsinakis, Constantine; Zhou, Hongjun Join-completions of partially ordered algebras. (English) Zbl 07257241 Ann. Pure Appl. Logic 171, No. 10, Article ID 102842, 33 p. (2020). MSC: 06F05 06F15 03G10 03B47 08B15 PDF BibTeX XML Cite \textit{J. Gil-Férez} et al., Ann. Pure Appl. Logic 171, No. 10, Article ID 102842, 33 p. (2020; Zbl 07257241) Full Text: DOI arXiv OpenURL
Carrera, Ricardo E.; Hager, Anthony W. A classification of hull operators in Archimedean lattice-ordered groups with unit. (English) Zbl 1446.06025 Categ. Gen. Algebr. Struct. Appl. 13, No. 1, 83-104 (2020). MSC: 06F15 06B25 06F05 54B30 54D30 54D35 PDF BibTeX XML Cite \textit{R. E. Carrera} and \textit{A. W. Hager}, Categ. Gen. Algebr. Struct. Appl. 13, No. 1, 83--104 (2020; Zbl 1446.06025) Full Text: Link OpenURL
Abbadini, Marco Dedekind \(\sigma \)-complete \(\ell \)-groups and Riesz spaces as varieties. (English) Zbl 07239388 Positivity 24, No. 4, 1081-1100 (2020). MSC: 06F20 03C05 08A65 PDF BibTeX XML Cite \textit{M. Abbadini}, Positivity 24, No. 4, 1081--1100 (2020; Zbl 07239388) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Hager, Anthony W.; Scowcroft, Philip Essential adjunction of a strong unit to an Archimedean lattice-ordered group. (English) Zbl 1481.06041 Algebra Univers. 81, No. 3, Paper No. 37, 17 p. (2020). MSC: 06F20 03E17 46A40 54C40 54D45 54G05 54H10 PDF BibTeX XML Cite \textit{A. W. Hager} and \textit{P. Scowcroft}, Algebra Univers. 81, No. 3, Paper No. 37, 17 p. (2020; Zbl 1481.06041) Full Text: DOI OpenURL
Colacito, Almudena; Marra, Vincenzo Orders on groups, and spectral spaces of lattice-groups. (English) Zbl 1477.06056 Algebra Univers. 81, No. 1, Paper No. 6, 30 p. (2020). MSC: 06F15 06E15 20E10 PDF BibTeX XML Cite \textit{A. Colacito} and \textit{V. Marra}, Algebra Univers. 81, No. 1, Paper No. 6, 30 p. (2020; Zbl 1477.06056) Full Text: DOI arXiv OpenURL
Dor-On, Adam; Katsoulis, Elias Tensor algebras of product systems and their \(C^\ast \)-envelopes. (English) Zbl 1441.46044 J. Funct. Anal. 278, No. 7, Article ID 108416, 32 p. (2020). Reviewer: Ralf Meyer (Göttingen) MSC: 46L08 46L55 47L40 47L65 46L05 PDF BibTeX XML Cite \textit{A. Dor-On} and \textit{E. Katsoulis}, J. Funct. Anal. 278, No. 7, Article ID 108416, 32 p. (2020; Zbl 1441.46044) Full Text: DOI arXiv OpenURL
Wehrung, Friedrich Cevian operations on distributive lattices. (English) Zbl 1442.06004 J. Pure Appl. Algebra 224, No. 4, Article ID 106202, 23 p. (2020). Reviewer: Daniele Mundici (Firenze) MSC: 06D05 06D35 06F20 03E02 03E05 18C35 PDF BibTeX XML Cite \textit{F. Wehrung}, J. Pure Appl. Algebra 224, No. 4, Article ID 106202, 23 p. (2020; Zbl 1442.06004) Full Text: DOI arXiv OpenURL
Lenzi, Giacomo On the Riesz structures of a lattice ordered abelian group. (English) Zbl 1483.06023 Math. Slovaca 69, No. 6, 1237-1245 (2019). MSC: 06F20 06D35 PDF BibTeX XML Cite \textit{G. Lenzi}, Math. Slovaca 69, No. 6, 1237--1245 (2019; Zbl 1483.06023) Full Text: DOI OpenURL
Zabeti, Omid Lattice structure on bounded homomorphisms between topological lattice rings. (English) Zbl 1463.13049 Vladikavkaz. Mat. Zh. 21, No. 3, 14-23 (2019). MSC: 13J25 06F30 PDF BibTeX XML Cite \textit{O. Zabeti}, Vladikavkaz. Mat. Zh. 21, No. 3, 14--23 (2019; Zbl 1463.13049) Full Text: DOI arXiv MNR OpenURL
Coquand, Thierry; Lombardi, Henri; Neuwirth, Stefan Lattice-ordered groups generated by an ordered group and regular systems of ideals. (English) Zbl 07113696 Rocky Mt. J. Math. 49, No. 5, 1449-1489 (2019). MSC: 06F20 06F05 13A15 13B22 PDF BibTeX XML Cite \textit{T. Coquand} et al., Rocky Mt. J. Math. 49, No. 5, 1449--1489 (2019; Zbl 07113696) Full Text: DOI arXiv Euclid OpenURL
Ahmed, Mamoon Commutator ideals in \(C^\ast\)-crossed products by hereditary subsemigroups. (English) Zbl 1435.46047 Ann. Funct. Anal. 10, No. 3, 370-380 (2019). MSC: 46L55 22D25 PDF BibTeX XML Cite \textit{M. Ahmed}, Ann. Funct. Anal. 10, No. 3, 370--380 (2019; Zbl 1435.46047) Full Text: DOI Euclid OpenURL
Wajch, Eliza From pairwise comparisons to consistency with respect to a group operation and Koczkodaj’s metric. (English) Zbl 1468.91042 Int. J. Approx. Reasoning 106, 51-62 (2019). Reviewer: Dominik Strzałka (Rzeszów) MSC: 91B06 06F15 PDF BibTeX XML Cite \textit{E. Wajch}, Int. J. Approx. Reasoning 106, 51--62 (2019; Zbl 1468.91042) Full Text: DOI OpenURL
Bruce, Chris; Laca, Marcelo; Ramagge, Jacqui; Sims, Aidan Equilibrium states and growth of quasi-lattice ordered monoids. (English) Zbl 1423.46090 Proc. Am. Math. Soc. 147, No. 6, 2389-2404 (2019). MSC: 46L55 46L30 06F05 PDF BibTeX XML Cite \textit{C. Bruce} et al., Proc. Am. Math. Soc. 147, No. 6, 2389--2404 (2019; Zbl 1423.46090) Full Text: DOI arXiv OpenURL
Ball, R. N.; Hager, A. W. The completeness characterization of \(C(\mathcal{L})\), \(\mathcal{L}\) a locale. (English) Zbl 1473.06005 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 1473.06005) Full Text: DOI OpenURL
Scowcroft, Philip Model-completions for abelian lattice-ordered groups with finitely many disjoint elements. (English) Zbl 07049211 Ann. Pure Appl. Logic 170, No. 6, 673-698 (2019); corrigendum ibid. 170, No. 11, Article ID 102720, 1 p. (2019). MSC: 03C60 06F20 PDF BibTeX XML Cite \textit{P. Scowcroft}, Ann. Pure Appl. Logic 170, No. 6, 673--698 (2019; Zbl 07049211) Full Text: DOI OpenURL
Di Nola, Antonio; Lenzi, Giacomo; Russo, Anna Carla Some invariant skeletons for \(\ell\)-u groups and MV-algebras. (English) Zbl 1441.06010 Order 36, No. 1, 77-97 (2019). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F15 PDF BibTeX XML Cite \textit{A. Di Nola} et al., Order 36, No. 1, 77--97 (2019; Zbl 1441.06010) Full Text: DOI OpenURL
Wehrung, Friedrich Spectral spaces of countable abelian lattice-ordered groups. (English) Zbl 1472.06024 Trans. Am. Math. Soc. 371, No. 3, 2133-2158 (2019). MSC: 06F20 06D05 06D20 06D35 06D50 46A55 52A05 52C35 PDF BibTeX XML Cite \textit{F. Wehrung}, Trans. Am. Math. Soc. 371, No. 3, 2133--2158 (2019; Zbl 1472.06024) Full Text: DOI arXiv OpenURL
Bhattacharjee, Papiya; McGovern, Warren W. Lamron \(\ell\)-groups. (English) Zbl 1436.06043 Quaest. Math. 41, No. 1, 81-98 (2018). MSC: 06F15 06F20 54D80 PDF BibTeX XML Cite \textit{P. Bhattacharjee} and \textit{W. W. McGovern}, Quaest. Math. 41, No. 1, 81--98 (2018; Zbl 1436.06043) Full Text: DOI OpenURL
Wu, Huanrong; Li, Qingguo; Yu, Bin A topology on lattice-ordered groups. (English) Zbl 1438.06051 J. Nonlinear Sci. Appl. 11, No. 5, 701-712 (2018). MSC: 06F15 06B35 54H11 06F30 PDF BibTeX XML Cite \textit{H. Wu} et al., J. Nonlinear Sci. Appl. 11, No. 5, 701--712 (2018; Zbl 1438.06051) Full Text: DOI OpenURL
Bhattacharjee, Papiya; McGovern, Warren Wm. Maximal \(d\)-subgroups and ultrafilters. (English) Zbl 06992778 Rend. Circ. Mat. Palermo (2) 67, No. 3, 421-440 (2018). MSC: 06F20 20F60 54D80 54G05 PDF BibTeX XML Cite \textit{P. Bhattacharjee} and \textit{W. Wm. McGovern}, Rend. Circ. Mat. Palermo (2) 67, No. 3, 421--440 (2018; Zbl 06992778) Full Text: DOI OpenURL
Ledda, Antonio; Paoli, Francesco; Tsinakis, Constantine The Archimedean property: new horizons and perspectives. (English) Zbl 06989162 Algebra Univers. 79, No. 4, Paper No. 91, 30 p. (2018). MSC: 06F05 06D35 06F15 03G10 03B47 PDF BibTeX XML Cite \textit{A. Ledda} et al., Algebra Univers. 79, No. 4, Paper No. 91, 30 p. (2018; Zbl 06989162) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. Di Nola} et al., Algebra Univers. 79, No. 3, Paper No. 64, 24 p. (2018; Zbl 1472.06023) Full Text: DOI OpenURL
Wynne, Brian Construction of existentially closed abelian lattice-ordered groups using upper extensions. (English) Zbl 1403.03057 Algebra Univers. 79, No. 3, Paper No. 51, 27 p. (2018). Reviewer: Daniele Mundici (Firenze) MSC: 03C60 06F20 20F60 PDF BibTeX XML Cite \textit{B. Wynne}, Algebra Univers. 79, No. 3, Paper No. 51, 27 p. (2018; Zbl 1403.03057) Full Text: DOI OpenURL
Buskes, Gerard; Redfield, R. H. Frolík decompositions for lattice-ordered groups. (English) Zbl 1436.06044 Quaest. Math. 41, No. 3, 371-407 (2018). MSC: 06F15 46A40 06F20 06E30 54C05 47B60 PDF BibTeX XML Cite \textit{G. Buskes} and \textit{R. H. Redfield}, Quaest. Math. 41, No. 3, 371--407 (2018; Zbl 1436.06044) Full Text: DOI OpenURL
Scowcroft, Philip \(l\)-groups \(C(X)\) in continuous logic. (English) Zbl 1446.03072 Arch. Math. Logic 57, No. 3-4, 239-272 (2018). MSC: 03C60 06F20 03C45 03C90 03C10 PDF BibTeX XML Cite \textit{P. Scowcroft}, Arch. Math. Logic 57, No. 3--4, 239--272 (2018; Zbl 1446.03072) Full Text: DOI OpenURL
Ball, Richard N.; Marra, Vincenzo; McNeill, Daniel; Pedrini, Andrea From Freudenthal’s spectral theorem to projectable hulls of unital Archimedean lattice-groups, through compactifications of minimal spectra. (English) Zbl 06859569 Forum Math. 30, No. 2, 513-526 (2018). MSC: 06F20 54D35 PDF BibTeX XML Cite \textit{R. N. Ball} et al., Forum Math. 30, No. 2, 513--526 (2018; Zbl 06859569) Full Text: DOI arXiv OpenURL
Kroupa, Tomáš; Marra, Vincenzo Generalised states: a multi-sorted algebraic approach to probability. (English) Zbl 1397.06012 Soft Comput. 21, No. 1, 57-67 (2017). MSC: 06D35 06F20 PDF BibTeX XML Cite \textit{T. Kroupa} and \textit{V. Marra}, Soft Comput. 21, No. 1, 57--67 (2017; Zbl 1397.06012) Full Text: DOI Link OpenURL
Kala, Vítězslav Lattice-ordered abelian groups finitely generated as semirings. (English) Zbl 1373.06022 J. Commut. Algebra 9, No. 3, 387-412 (2017). MSC: 06F20 16Y60 12K10 06D35 52B20 PDF BibTeX XML Cite \textit{V. Kala}, J. Commut. Algebra 9, No. 3, 387--412 (2017; Zbl 1373.06022) Full Text: DOI arXiv Euclid OpenURL
Caramello, O.; Russo, A. C. On the geometric theory of local MV-algebras. (English) Zbl 1423.06045 J. Algebra 479, 263-313 (2017). MSC: 06D35 03G30 06B20 06F20 18B25 18C10 PDF BibTeX XML Cite \textit{O. Caramello} and \textit{A. C. Russo}, J. Algebra 479, 263--313 (2017; Zbl 1423.06045) Full Text: DOI arXiv OpenURL
Wehrung, Friedrich Refinement monoids, equidecomposability types, and Boolean inverse semigroups. (English) Zbl 1447.20005 Lecture Notes in Mathematics 2188. Cham: Springer (ISBN 978-3-319-61598-1/pbk; 978-3-319-61599-8/ebook). vii, 240 p. (2017). Reviewer: Leonid M. Martynov (Omsk) MSC: 20-02 20M10 20M32 PDF BibTeX XML Cite \textit{F. Wehrung}, Refinement monoids, equidecomposability types, and Boolean inverse semigroups. Cham: Springer (2017; Zbl 1447.20005) Full Text: DOI OpenURL
Hager, Anthony W.; Madden, James J. Comments on monoreflections in unital Archimedean lattice-ordered groups and rings. (English) Zbl 1436.06047 Quaest. Math. 39, No. 8, 1093-1099 (2016). MSC: 06F20 18A40 46A40 54F15 18A20 PDF BibTeX XML Cite \textit{A. W. Hager} and \textit{J. J. Madden}, Quaest. Math. 39, No. 8, 1093--1099 (2016; Zbl 1436.06047) Full Text: DOI OpenURL
Caramello, Olivia; Russo, Anna Carla Lattice-ordered abelian groups and perfect MV-algebras: a topos-theoretic perspective. (English) Zbl 1390.06012 Bull. Symb. Log. 22, No. 2, 170-214 (2016). MSC: 06F20 06D35 03G30 18B25 PDF BibTeX XML Cite \textit{O. Caramello} and \textit{A. C. Russo}, Bull. Symb. Log. 22, No. 2, 170--214 (2016; Zbl 1390.06012) Full Text: DOI arXiv OpenURL
Borzooei, R. A.; Hosseini, F.; Zahiri, O. (Totally) \(L\)-ordered groups. (English) Zbl 1361.06007 J. Intell. Fuzzy Syst. 30, No. 3, 1489-1498 (2016). MSC: 06F15 20N25 PDF BibTeX XML Cite \textit{R. A. Borzooei} et al., J. Intell. Fuzzy Syst. 30, No. 3, 1489--1498 (2016; Zbl 1361.06007) Full Text: DOI OpenURL
Li, Boyu Regular representations of lattice ordered semigroups. (English) Zbl 1399.43011 J. Oper. Theory 76, No. 1, 33-56 (2016). Reviewer: Martin Blümlinger (Wien) MSC: 43A35 47A20 47D03 PDF BibTeX XML Cite \textit{B. Li}, J. Oper. Theory 76, No. 1, 33--56 (2016; Zbl 1399.43011) Full Text: DOI arXiv OpenURL
Mundici, Daniele Hopfian \(\ell\)-groups, MV-algebras and AF \({\mathrm{C}^{*}}\)-algebras. (English) Zbl 1429.06013 Forum Math. 28, No. 6, 1111-1130 (2016). MSC: 06D35 06F20 08A35 16T05 19A49 46L05 PDF BibTeX XML Cite \textit{D. Mundici}, Forum Math. 28, No. 6, 1111--1130 (2016; Zbl 1429.06013) Full Text: DOI arXiv OpenURL
Hager, Anthony W.; Madden, James J. The \(H\)-closed monoreflections, implicit operations, and countable composition, in Archimedean lattice-ordered groups with weak unit. (English) Zbl 1403.06027 Appl. Categ. Struct. 24, No. 5, 605-617 (2016). MSC: 06F20 18A40 46A40 54F15 PDF BibTeX XML Cite \textit{A. W. Hager} and \textit{J. J. Madden}, Appl. Categ. Struct. 24, No. 5, 605--617 (2016; Zbl 1403.06027) Full Text: DOI OpenURL
Jakubík, Ján Convex subalgebras of upper bounded GMV-algebras. (English) Zbl 1374.06023 Math. Slovaca 66, No. 2, 379-386 (2016). Reviewer: Jiří Rachůnek (Olomouc) MSC: 06D35 06F15 PDF BibTeX XML Cite \textit{J. Jakubík}, Math. Slovaca 66, No. 2, 379--386 (2016; Zbl 1374.06023) Full Text: DOI OpenURL
Di Nola, A.; Ferraioli, A. R.; Gerla, B. Combining Boolean algebras and \(\ell \)-groups in the variety generated by Chang’s MV-algebra. (English) Zbl 1374.06020 Math. Slovaca 66, No. 2, 387-400 (2016). Reviewer: Anatolij Dvurečenskij (Bratislava) MSC: 06D35 06F20 PDF BibTeX XML Cite \textit{A. Di Nola} et al., Math. Slovaca 66, No. 2, 387--400 (2016; Zbl 1374.06020) Full Text: DOI OpenURL
Ánh, Phạm Ngọc Generalization of a theorem of Clifford. (English) Zbl 1368.06008 Acta Math. Vietnam. 41, No. 3, 471-480 (2016). Reviewer: Muhammad Zafrullah (Pocatello) MSC: 06F05 06F20 13A05 13F05 PDF BibTeX XML Cite \textit{P. N. Ánh}, Acta Math. Vietnam. 41, No. 3, 471--480 (2016; Zbl 1368.06008) Full Text: DOI Link OpenURL
Scowcroft, Philip Algebraically closed and existentially closed abelian lattice-ordered groups. (English) Zbl 1351.03023 Algebra Univers. 75, No. 3, 257-300 (2016). MSC: 03C60 06F20 03C25 PDF BibTeX XML Cite \textit{P. Scowcroft}, Algebra Univers. 75, No. 3, 257--300 (2016; Zbl 1351.03023) Full Text: DOI OpenURL
Jakubík, Ján Lexico groups and direct products of lattice ordered groups. (English) Zbl 1389.06041 Math. Slovaca 66, No. 1, 35-42 (2016). Reviewer: Anatolij Dvurečenskij (Bratislava) MSC: 06F15 PDF BibTeX XML Cite \textit{J. Jakubík}, Math. Slovaca 66, No. 1, 35--42 (2016; Zbl 1389.06041) Full Text: DOI OpenURL
Darnel, M. R.; Holland, W. C.; Pajoohesh, H. Generalized commutativity of lattice-ordered groups. II. (English) Zbl 1334.06031 Algebra Univers. 75, No. 1, 51-59 (2016). MSC: 06F15 20F60 PDF BibTeX XML Cite \textit{M. R. Darnel} et al., Algebra Univers. 75, No. 1, 51--59 (2016; Zbl 1334.06031) Full Text: DOI OpenURL
Borzooei, R. A.; Dvurečenskij, A.; Zahiri, O. \(L\)-ordered and \( L\)-lattice ordered groups. (English) Zbl 1387.06005 Inf. Sci. 314, 118-134 (2015). MSC: 06A75 06D20 06F15 PDF BibTeX XML Cite \textit{R. A. Borzooei} et al., Inf. Sci. 314, 118--134 (2015; Zbl 1387.06005) Full Text: DOI arXiv OpenURL
Iorgulescu, Afrodita New algebras and new connections between/in the algebras of logic and the monoidal algebras. (English) Zbl 1370.06009 Lib. Math. (N.S.) 35, No. 1, 13-55 (2015). MSC: 06F35 06F15 06D35 03G25 PDF BibTeX XML Cite \textit{A. Iorgulescu}, Lib. Math. (N.S.) 35, No. 1, 13--55 (2015; Zbl 1370.06009) OpenURL
Marra, Vincenzo The Chinese remainder theorem for strongly semisimple MV-algebras and lattice-groups. (English) Zbl 1363.06028 Math. Slovaca 65, No. 4, 829-840 (2015). Reviewer: YiChaun Yang (Beijing) MSC: 06F20 06D35 PDF BibTeX XML Cite \textit{V. Marra}, Math. Slovaca 65, No. 4, 829--840 (2015; Zbl 1363.06028) Full Text: DOI arXiv OpenURL
Fechner, Włodzimierz A note on a result of I. Gusić on two inequalities in lattice-ordered groups. (English) Zbl 1386.39047 Math. Inequal. Appl. 18, No. 3, 887-892 (2015). MSC: 39B62 06F15 20F60 26D15 46E30 PDF BibTeX XML Cite \textit{W. Fechner}, Math. Inequal. Appl. 18, No. 3, 887--892 (2015; Zbl 1386.39047) Full Text: DOI OpenURL
Pajoohesh, Homeira The relationship of partial metric varieties and commuting powers varieties. II. (English) Zbl 1316.06019 Algebra Univers. 73, No. 3-4, 291-295 (2015). MSC: 06F15 08B15 20F60 PDF BibTeX XML Cite \textit{H. Pajoohesh}, Algebra Univers. 73, No. 3--4, 291--295 (2015; Zbl 1316.06019) Full Text: DOI OpenURL
Hager, Anthony W. The relatively uniform completion, epimorphisms and units, in divisible Archimedean \(l\)-groups. (English) Zbl 1349.06048 Math. Slovaca 65, No. 2, 343-358 (2015). MSC: 06F20 18A40 54C40 PDF BibTeX XML Cite \textit{A. W. Hager}, Math. Slovaca 65, No. 2, 343--358 (2015; Zbl 1349.06048) Full Text: DOI OpenURL
Darnel, M. R.; Holland, W. C.; Pajoohesh, H. Generalized commutativity of lattice-ordered groups. (English) Zbl 1349.06045 Math. Slovaca 65, No. 2, 325-342 (2015). MSC: 06F15 20F60 PDF BibTeX XML Cite \textit{M. R. Darnel} et al., Math. Slovaca 65, No. 2, 325--342 (2015; Zbl 1349.06045) Full Text: DOI OpenURL
Cabrer, Leonardo Manuel; Mundici, Daniele Severi-Bouligand tangents, Frenet frames and Riesz spaces. (English) Zbl 1322.46005 Adv. Appl. Math. 64, 1-20 (2015). Reviewer: Karim Boulabiar (Tunis) MSC: 46A40 06F20 46E05 PDF BibTeX XML Cite \textit{L. M. Cabrer} and \textit{D. Mundici}, Adv. Appl. Math. 64, 1--20 (2015; Zbl 1322.46005) Full Text: DOI arXiv OpenURL
Young, William Varieties generated by unital abelian \(\ell\)-groups. (English) Zbl 1300.06003 J. Pure Appl. Algebra 219, No. 1, 161-169 (2015). Reviewer: Daniele Mundici (Firenze) MSC: 06F20 06D35 08B15 PDF BibTeX XML Cite \textit{W. Young}, J. Pure Appl. Algebra 219, No. 1, 161--169 (2015; Zbl 1300.06003) Full Text: DOI OpenURL
Ball, Richard N. Truncated abelian lattice-ordered groups. II: The pointfree (Madden) representation. (English) Zbl 1301.06040 Topology Appl. 178, 56-86 (2014). MSC: 06F20 06D22 54B30 PDF BibTeX XML Cite \textit{R. N. Ball}, Topology Appl. 178, 56--86 (2014; Zbl 1301.06040) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{M. Gehrke} et al., J. Algebra 417, 290--332 (2014; Zbl 1300.06001) Full Text: DOI arXiv OpenURL
Bludov, V. V.; Glass, A. M. W. Amalgamation bases for the class of lattice-ordered groups. (English) Zbl 1340.06033 Math. Slovaca 64, No. 3, 571-578 (2014). MSC: 06F15 20F60 20E06 PDF BibTeX XML Cite \textit{V. V. Bludov} and \textit{A. M. W. Glass}, Math. Slovaca 64, No. 3, 571--578 (2014; Zbl 1340.06033) Full Text: DOI OpenURL
Boulabiar, Karim; Brahmi, Wael Orthoproducts and \(f\)-representations of archimedean \(\ell\)-groups. (English) Zbl 1309.06009 Algebra Univers. 72, No. 1, 81-89 (2014). Reviewer: Xie Xiang-Yun (Guangdong) MSC: 06F20 06F15 PDF BibTeX XML Cite \textit{K. Boulabiar} and \textit{W. Brahmi}, Algebra Univers. 72, No. 1, 81--89 (2014; Zbl 1309.06009) Full Text: DOI OpenURL
Darnel, M. R.; Holland, W. C. Minimal non-metabelian varieties of \(\ell\)-groups which contain no nonabelian \(o\)-groups. (English) Zbl 1320.06014 Commun. Algebra 42, No. 12, 5100-5133 (2014). Reviewer: Xie Xiang-Yun (Guangdong) MSC: 06F15 08B15 20F60 PDF BibTeX XML Cite \textit{M. R. Darnel} and \textit{W. C. Holland}, Commun. Algebra 42, No. 12, 5100--5133 (2014; Zbl 1320.06014) Full Text: DOI OpenURL
Ball, Richard N.; Marra, Vincenzo Unital hyperarchimedean vector lattices. (English) Zbl 1301.06041 Topology Appl. 170, 10-24 (2014). MSC: 06F20 06E15 46E25 54C30 54C40 54H10 PDF BibTeX XML Cite \textit{R. N. Ball} and \textit{V. Marra}, Topology Appl. 170, 10--24 (2014; Zbl 1301.06041) Full Text: DOI arXiv OpenURL
Jakubík, Ján On a type of distributivity of lattice ordered groups. (English) Zbl 1349.06046 Math. Slovaca 64, No. 2, 281-286 (2014). MSC: 06F15 PDF BibTeX XML Cite \textit{J. Jakubík}, Math. Slovaca 64, No. 2, 281--286 (2014; Zbl 1349.06046) Full Text: DOI OpenURL
Brownlowe, Nathan; Ramagge, Jacqui; Robertson, David; Whittaker, Michael F. Zappa-Szép products of semigroups and their \(C^\ast\)-algebras. (English) Zbl 1286.22002 J. Funct. Anal. 266, No. 6, 3937-3967 (2014). MSC: 22A30 22D25 43A07 46L05 PDF BibTeX XML Cite \textit{N. Brownlowe} et al., J. Funct. Anal. 266, No. 6, 3937--3967 (2014; Zbl 1286.22002) Full Text: DOI arXiv OpenURL
Ball, Richard N. Truncated abelian lattice-ordered groups. I: The pointed (Yosida) representation. (English) Zbl 1301.06039 Topology Appl. 162, 43-65 (2014). MSC: 06F20 54B30 54C30 54H10 PDF BibTeX XML Cite \textit{R. N. Ball}, Topology Appl. 162, 43--65 (2014; Zbl 1301.06039) Full Text: DOI OpenURL
Panti, Giovanni; Ravotti, Davide Measures induced by units. (English) Zbl 1323.03097 J. Symb. Log. 78, No. 3, 886-910 (2013). MSC: 03G25 06D35 06F20 11K06 PDF BibTeX XML Cite \textit{G. Panti} and \textit{D. Ravotti}, J. Symb. Log. 78, No. 3, 886--910 (2013; Zbl 1323.03097) Full Text: DOI arXiv Euclid OpenURL
Ball, Richard N.; Hager, Anthony W. Frame monomorphisms and a feature of the \(l\)-group of Baire functions on a topological space. (English) Zbl 1289.06016 Commentat. Math. Univ. Carol. 54, No. 2, 141-157 (2013). Reviewer: Themba Dube (Unisa) MSC: 06D22 06F20 18A20 26A21 28A05 PDF BibTeX XML Cite \textit{R. N. Ball} and \textit{A. W. Hager}, Commentat. Math. Univ. Carol. 54, No. 2, 141--157 (2013; Zbl 1289.06016) Full Text: EMIS OpenURL
Marra, Vincenzo Lattice-ordered abelian groups and Schauder bases of unimodular fans. II. (English) Zbl 1280.06013 Trans. Am. Math. Soc. 365, No. 5, 2545-2568 (2013). MSC: 06F20 PDF BibTeX XML Cite \textit{V. Marra}, Trans. Am. Math. Soc. 365, No. 5, 2545--2568 (2013; Zbl 1280.06013) Full Text: DOI OpenURL
Schwartz, Niels Sheaves of abelian \(l\)-groups. (English) Zbl 1293.13002 Order 30, No. 2, 497-526 (2013). Reviewer: Muhammad Zafrullah (Pocatello) MSC: 13A18 06F20 13A05 PDF BibTeX XML Cite \textit{N. Schwartz}, Order 30, No. 2, 497--526 (2013; Zbl 1293.13002) Full Text: DOI OpenURL
Darnel, Michael R.; Holland, W. Charles; Pajoohesh, Homeira The relationship of partial metric varieties and commuting powers varieties. (English) Zbl 1282.06016 Order 30, No. 2, 403-414 (2013). MSC: 06F15 08B15 20F60 PDF BibTeX XML Cite \textit{M. R. Darnel} et al., Order 30, No. 2, 403--414 (2013; Zbl 1282.06016) Full Text: DOI OpenURL
Jasem, Milan Weak relativity uniform convergence in dually residuated lattice ordered semigroups. (English) Zbl 1280.06011 Czermak, J. (ed.) et al., Proceedings of the 81st workshop on general algebra “81. Arbeitstagung Allgemeine Algebra”, Salzburg, Austria, February 3–6, 2011. Klagenfurt: Verlag Johannes Heyn (ISBN 978-3-7084-0447-9/pbk). Contributions to General Algebra 20, 39-50 (2012). MSC: 06F05 54A20 PDF BibTeX XML Cite \textit{M. Jasem}, Contrib. Gen. Algebra 20, 39--50 (2012; Zbl 1280.06011) OpenURL
Barbieri, Giuseppina; Valente, Antonietta; Weber, Hans Decomposition of \(\ell \)-group-valued measures. (English) Zbl 1274.28025 Czech. Math. J. 62, No. 4, 1085-1100 (2012). MSC: 28B10 06C15 PDF BibTeX XML Cite \textit{G. Barbieri} et al., Czech. Math. J. 62, No. 4, 1085--1100 (2012; Zbl 1274.28025) Full Text: DOI Link OpenURL
Paoli, Francesco; Tsinakis, Constantine On Birkhoff’s common abstraction problem. (English) Zbl 1298.08002 Stud. Log. 100, No. 6, 1079-1105 (2012). Reviewer: Yuri Movsisyan (Yerevan) MSC: 08B15 06E05 06F15 PDF BibTeX XML Cite \textit{F. Paoli} and \textit{C. Tsinakis}, Stud. Log. 100, No. 6, 1079--1105 (2012; Zbl 1298.08002) Full Text: DOI OpenURL
Cabrer, Leonardo; Mundici, Daniele Rational polyhedra and projective lattice-ordered abelian groups with order unit. (English) Zbl 1275.06002 Commun. Contemp. Math. 14, No. 3, 1250017, 20 p. (2012). Reviewer: Jiří Rachůnek (Olomouc) MSC: 06F20 06D35 08B30 52B11 52B20 54D05 PDF BibTeX XML Cite \textit{L. Cabrer} and \textit{D. Mundici}, Commun. Contemp. Math. 14, No. 3, 1250017, 20 p. (2012; Zbl 1275.06002) Full Text: DOI arXiv OpenURL
Ma, Jingjing Regular unital finite-dimensional lattice-ordered algebras. (English) Zbl 1273.06009 Commun. Algebra 40, No. 5, 1680-1689 (2012). Reviewer: Bikram Banerjee (Kolkata) MSC: 06F25 PDF BibTeX XML Cite \textit{J. Ma}, Commun. Algebra 40, No. 5, 1680--1689 (2012; Zbl 1273.06009) Full Text: DOI OpenURL
Busaniche, Manuela; Cabrer, Leonardo; Mundici, Daniele Confluence and combinatorics in finitely generated unital lattice-ordered abelian groups. (English) Zbl 1277.06007 Forum Math. 24, No. 2, 253-271 (2012). Reviewer: Belmesnaoui Aqzzouz (Salajadida) MSC: 06F20 52B11 52B20 57Q15 46L05 PDF BibTeX XML Cite \textit{M. Busaniche} et al., Forum Math. 24, No. 2, 253--271 (2012; Zbl 1277.06007) Full Text: DOI arXiv OpenURL
Jakubík, J. Banaschewski’s theorem for GMV-algebras. (English) Zbl 1274.06045 Math. Slovaca 62, No. 2, 157-168 (2012). Reviewer: Constantine Tsinakis (Vanderbilt) MSC: 06D35 06F15 PDF BibTeX XML Cite \textit{J. Jakubík}, Math. Slovaca 62, No. 2, 157--168 (2012; Zbl 1274.06045) Full Text: DOI OpenURL
Jakubík, Ján; Lihová, Judita Fractability for partially ordered groups and Boolean algebras. (English) Zbl 1265.06053 Acta Sci. Math. 77, No. 3-4, 375-388 (2011). Reviewer: Jānis Cīrulis (Riga) MSC: 06F15 06D35 PDF BibTeX XML Cite \textit{J. Jakubík} and \textit{J. Lihová}, Acta Sci. Math. 77, No. 3--4, 375--388 (2011; Zbl 1265.06053) OpenURL
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 PDF BibTeX XML Cite \textit{L. Cabrer} and \textit{D. Mundici}, J. Algebra 343, No. 1, 1--10 (2011; Zbl 1261.06022) Full Text: DOI arXiv Link OpenURL
Mundici, Daniele Revisiting the Farey AF algebra. (English) Zbl 1269.46041 Milan J. Math. 79, No. 2, 643-656 (2011). MSC: 46L35 46L05 46L80 46M40 37E05 PDF BibTeX XML Cite \textit{D. Mundici}, Milan J. Math. 79, No. 2, 643--656 (2011; Zbl 1269.46041) Full Text: DOI OpenURL
Černák, Štefan; Jakubík, Ján Weak relatively uniform convergences on abelian lattice ordered groups. (English) Zbl 1274.06061 Math. Slovaca 61, No. 5, 687-704 (2011). MSC: 06F20 PDF BibTeX XML Cite \textit{Š. Černák} and \textit{J. Jakubík}, Math. Slovaca 61, No. 5, 687--704 (2011; Zbl 1274.06061) Full Text: DOI OpenURL
Jasem, Milan On isometries in GMV-algebras. (English) Zbl 1274.06046 Math. Slovaca 61, No. 5, 827-833 (2011). Reviewer: Dana Šalounová (Ostrava) MSC: 06D35 PDF BibTeX XML Cite \textit{M. Jasem}, Math. Slovaca 61, No. 5, 827--833 (2011; Zbl 1274.06046) Full Text: DOI OpenURL
Horčík, Rostislav On the structure of finite integral commutative residuated chains. (English) Zbl 1239.06009 J. Log. Comput. 21, No. 5, 717-728 (2011). Reviewer: Claudia Mureşan (Rîmnicu Vîlcea) MSC: 06F05 03G25 PDF BibTeX XML Cite \textit{R. Horčík}, J. Log. Comput. 21, No. 5, 717--728 (2011; Zbl 1239.06009) Full Text: DOI Link OpenURL
Hager, Anthony W.; Johnson, Donald G. Relative uniform completeness and order-convex representations of Archimedean \(\ell \)-groups and \(f\)-rings. (English) Zbl 1233.06012 Topology Appl. 158, No. 14, 1866-1874 (2011). MSC: 06F15 06F20 06F25 54C30 54C40 PDF BibTeX XML Cite \textit{A. W. Hager} and \textit{D. G. Johnson}, Topology Appl. 158, No. 14, 1866--1874 (2011; Zbl 1233.06012) Full Text: DOI OpenURL
Boulabiar, Karim; Gdara, Fouad Separating bounded group homomorphisms on \(\ell \)-groups of functions. (English) Zbl 1235.06016 Topology Appl. 158, No. 14, 1831-1835 (2011). Reviewer: Yichuan Yang (Beijing) MSC: 06F15 54C40 54D60 PDF BibTeX XML Cite \textit{K. Boulabiar} and \textit{F. Gdara}, Topology Appl. 158, No. 14, 1831--1835 (2011; Zbl 1235.06016) Full Text: DOI OpenURL
Kopperman, Ralph; Pajoohesh, Homeira; Richmond, Tom Topologies arising from metrics valued in abelian \(\ell\)-groups. (English) Zbl 1250.06014 Algebra Univers. 65, No. 4, 315-330 (2011). Reviewer: William A. Feldman (Fayetteville) MSC: 06F20 54F05 54H12 PDF BibTeX XML Cite \textit{R. Kopperman} et al., Algebra Univers. 65, No. 4, 315--330 (2011; Zbl 1250.06014) Full Text: DOI OpenURL
Bludov, V. V.; Glass, A. M. W. Right orders and amalgamation for lattice-ordered groups. (English) Zbl 1265.06049 Math. Slovaca 61, No. 3, 355-372 (2011). Reviewer: Ján Jakubík (Košice) MSC: 06F15 20B27 20F10 20F60 PDF BibTeX XML Cite \textit{V. V. Bludov} and \textit{A. M. W. Glass}, Math. Slovaca 61, No. 3, 355--372 (2011; Zbl 1265.06049) Full Text: DOI Link OpenURL
Kühr, Jan; Mundici, Daniele From free abelian groups to free abelian \(\ell \)-groups. (English) Zbl 1265.06055 Math. Slovaca 61, No. 3, 439-450 (2011). Reviewer: Ivan Chajda (Olomouc) MSC: 06F20 20K99 52B20 PDF BibTeX XML Cite \textit{J. Kühr} and \textit{D. Mundici}, Math. Slovaca 61, No. 3, 439--450 (2011; Zbl 1265.06055) Full Text: DOI OpenURL
Dvurečenskij, A.; Ventriglia, F. Representations of pseudo Vitali spaces and Loomis-Sikorski theorem. (English) Zbl 1226.06007 Int. J. Gen. Syst. 40, No. 1, 39-59 (2011). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F15 PDF BibTeX XML Cite \textit{A. Dvurečenskij} and \textit{F. Ventriglia}, Int. J. Gen. Syst. 40, No. 1, 39--59 (2011; Zbl 1226.06007) Full Text: DOI OpenURL
Dvurečenskij, A.; Giuntini, R.; Kowalski, T. On the structure of pseudo BL-algebras and pseudo hoops in quantum logics. (English) Zbl 1227.81012 Found. Phys. 40, No. 9/10, 1519-1542 (2010). Reviewer: Horst Szambien (Garbsen) MSC: 81P10 06D35 03B50 03G12 81-02 PDF BibTeX XML Cite \textit{A. Dvurečenskij} et al., Found. Phys. 40, No. 9/10, 1519--1542 (2010; Zbl 1227.81012) Full Text: DOI OpenURL
Ciungu, Lavinia Corina; Dvurečenskij, Anatolij Measures, states and de Finetti maps on pseudo-BCK algebras. (English) Zbl 1226.06015 Fuzzy Sets Syst. 161, No. 22, 2870-2896 (2010). Reviewer: Daniele Mundici (Firenze) MSC: 06F35 06D35 PDF BibTeX XML Cite \textit{L. C. Ciungu} and \textit{A. Dvurečenskij}, Fuzzy Sets Syst. 161, No. 22, 2870--2896 (2010; Zbl 1226.06015) Full Text: DOI arXiv OpenURL
Jakubík, Ján; Černák, Štefan Relatively uniform convergences in Archimedean lattice ordered groups. (English) Zbl 1240.06066 Math. Slovaca 60, No. 4, 447-460 (2010). Reviewer: Judita Lihová (Košice) MSC: 06F20 PDF BibTeX XML Cite \textit{J. Jakubík} and \textit{Š. Černák}, Math. Slovaca 60, No. 4, 447--460 (2010; Zbl 1240.06066) Full Text: DOI OpenURL