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
Ball, Richard N. Structural aspects of truncated Archimedean vector lattices: good sequences, simple elements. (English) Zbl 07396213 Commentat. Math. Univ. Carol. 62, No. 1, 95-134 (2021). MSC: 06F20 46E05 PDF BibTeX XML Cite \textit{R. N. Ball}, Commentat. Math. Univ. Carol. 62, No. 1, 95--134 (2021; Zbl 07396213) 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
Pourgholamhossein, M.; Ranjbar, M. A. Correction to: “On the topological mass lattice groups”. (English) Zbl 1465.22001 Positivity 25, No. 1, 289-290 (2021). MSC: 22A10 06F20 46A40 57N17 54H12 22A26 54F05 PDF BibTeX XML Cite \textit{M. Pourgholamhossein} and \textit{M. A. Ranjbar}, Positivity 25, No. 1, 289--290 (2021; Zbl 1465.22001) 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
Pourgholamhossein, Mahmood; Ranjbar, Mohammad Ali Unital topology on a unital \(l\)-group. (English) Zbl 1485.54040 Math. Slovaca 70, No. 5, 1189-1196 (2020). Reviewer: Fucai Lin (Zhangzhou) MSC: 54H11 06F20 03G10 46A40 46B42 46B40 PDF BibTeX XML Cite \textit{M. Pourgholamhossein} and \textit{M. A. Ranjbar}, Math. Slovaca 70, No. 5, 1189--1196 (2020; Zbl 1485.54040) Full Text: DOI OpenURL
Panyushev, Dmitri I. Abelian ideals of a Borel subalgebra and root systems. II. (English) Zbl 1479.17022 Algebr. Represent. Theory 23, No. 4, 1487-1498 (2020). MSC: 17B20 17B22 06A07 20F55 PDF BibTeX XML Cite \textit{D. I. Panyushev}, Algebr. Represent. Theory 23, No. 4, 1487--1498 (2020; Zbl 1479.17022) Full Text: DOI arXiv OpenURL
Außenhofer, Lydia; Dikranjan, Dikran Locally quasi-convex compatible topologies on locally compact abelian groups. (English) Zbl 1442.22005 Math. Z. 296, No. 1-2, 325-351 (2020). Reviewer: Nikolay I. Kryuchkov (Ryazan) MSC: 22B05 20K45 22A05 43A40 54H11 06A11 46A03 46E05 20K25 PDF BibTeX XML Cite \textit{L. Außenhofer} and \textit{D. Dikranjan}, Math. Z. 296, No. 1--2, 325--351 (2020; Zbl 1442.22005) Full Text: DOI OpenURL
Abbadini, Marco Dedekind \(\sigma \)-complete \(\ell \)-groups and Riesz spaces as varieties. (English) Zbl 1484.06059 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 1484.06059) Full Text: DOI arXiv 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
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
Pourgholamhossein, M.; Ranjbar, M. A. On the topological mass lattice groups. (English) Zbl 1423.22003 Positivity 23, No. 4, 811-827 (2019); correction ibid. 25, No. 1, 289-290 (2021). MSC: 22A10 06F20 46A40 57N17 54H12 22A26 54F05 PDF BibTeX XML Cite \textit{M. Pourgholamhossein} and \textit{M. A. Ranjbar}, Positivity 23, No. 4, 811--827 (2019; Zbl 1423.22003) Full Text: DOI 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
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
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
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
Hager, Anthony W.; McGovern, Warren Wm. The Yosida space and representation of the projectable hull of an Archimedean \(\ell\)-group with weak unit. (English) Zbl 1423.06058 Quaest. Math. 40, No. 1, 57-61 (2017). MSC: 06F20 46A40 54D35 PDF BibTeX XML Cite \textit{A. W. Hager} and \textit{W. Wm. McGovern}, Quaest. Math. 40, No. 1, 57--61 (2017; Zbl 1423.06058) Full Text: DOI OpenURL
Ball, Richard N.; Hager, Anthony W.; Johnson, Donald G.; Madden, James J.; McGovern, Warren Wm. The Yosida space of the vector lattice hull of an Archimedean \(\ell\)-group with unit. (English) Zbl 1401.06020 Houston J. Math. 43, No. 3, 1019-1030 (2017). MSC: 06F20 46A40 54B35 18A40 54C30 54D30 PDF BibTeX XML Cite \textit{R. N. Ball} et al., Houston J. Math. 43, No. 3, 1019--1030 (2017; Zbl 1401.06020) 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
Mundici, Daniele Fans, decision problems and generators of free abelian \(\ell\)-groups. (English) Zbl 1473.06023 Forum Math. 29, No. 6, 1429-1439 (2017). MSC: 06F20 06B25 08B30 52B20 52B55 57Q05 PDF BibTeX XML Cite \textit{D. Mundici}, Forum Math. 29, No. 6, 1429--1439 (2017; Zbl 1473.06023) Full Text: DOI 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
Hager, Anthony W.; McGovern, Warren Wm. The projectable hull of an Archimedean \(\ell\)-group with weak unit. (English) Zbl 1423.06057 Categ. Gen. Algebr. Struct. Appl. 7, No. 1, 165-179 (2017). MSC: 06F20 46A40 54D35 PDF BibTeX XML Cite \textit{A. W. Hager} and \textit{W. Wm. McGovern}, Categ. Gen. Algebr. Struct. Appl. 7, No. 1, 165--179 (2017; Zbl 1423.06057) 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
Boccuto, A.; Dimitriou, Xenofon Matrix theorems and interchange for lattice group-valued series in the filter convergence setting. (English) Zbl 1425.40004 Bull. Greek Math. Soc. 59, 39-55 (2016). MSC: 40A35 06F20 28A12 28A33 06F15 PDF BibTeX XML Cite \textit{A. Boccuto} and \textit{X. Dimitriou}, Bull. Greek Math. Soc. 59, 39--55 (2016; Zbl 1425.40004) Full Text: Link 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
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
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
Boccuto, Antonio; Dimitriou, Xenofon Limit theorems for \(k\)-subadditive lattice group-valued capacities in the filter convergence setting. (English) Zbl 06609727 Tatra Mt. Math. Publ. 65, 1-21 (2016). MSC: 28A12 06F20 26E50 28A33 28B99 PDF BibTeX XML Cite \textit{A. Boccuto} and \textit{X. Dimitriou}, Tatra Mt. Math. Publ. 65, 1--21 (2016; Zbl 06609727) 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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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 PDF BibTeX XML Cite \textit{L. Fuchs}, Algebra Univers. 62, No. 1, 45--49 (2009; Zbl 1196.06006) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{W. C. Holland}, Algebra Univers. 62, No. 1, 27--43 (2009; Zbl 1194.06008) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. Dvurečenskij} and \textit{W. C. Holland}, Algebra Univers. 62, No. 1, 19--25 (2009; Zbl 1194.06007) Full Text: DOI OpenURL
Dvurečenskij, Anatolij; Holland, W. Charles Covers of the abelian variety of generalized MV-algebras. (English) Zbl 1190.06009 Commun. Algebra 37, No. 11, 3991-4011 (2009). Reviewer: Daniele Mundici (Firenze) MSC: 06D35 06F20 PDF BibTeX XML Cite \textit{A. Dvurečenskij} and \textit{W. C. Holland}, Commun. Algebra 37, No. 11, 3991--4011 (2009; Zbl 1190.06009) Full Text: DOI OpenURL
Mundici, Daniele Recognizing the Farey-Stern-Brocot AF algebra. (English) Zbl 1185.46042 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 20, No. 4, 327-338 (2009). MSC: 46L35 46L80 46M40 06F20 11B57 52C45 52B20 14E05 14M25 PDF BibTeX XML Cite \textit{D. Mundici}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 20, No. 4, 327--338 (2009; Zbl 1185.46042) Full Text: DOI Link OpenURL
Bludov, V. V. On residually torsion-free-nilpotent groups. (English) Zbl 1177.20045 J. Group Theory 12, No. 4, 579-590 (2009). Reviewer: V. A. Roman’kov (Omsk) MSC: 20F18 20E26 20F60 06F15 20F05 PDF BibTeX XML Cite \textit{V. V. Bludov}, J. Group Theory 12, No. 4, 579--590 (2009; Zbl 1177.20045) Full Text: DOI OpenURL
Černák, Štefan; Lihová, Judita On a relative uniform completion of an Archimedean lattice ordered group. (English) Zbl 1212.06042 Math. Slovaca 59, No. 2, 231-250 (2009). Reviewer: Ján Jakubík (Košice) MSC: 06F15 06F20 PDF BibTeX XML Cite \textit{Š. Černák} and \textit{J. Lihová}, Math. Slovaca 59, No. 2, 231--250 (2009; Zbl 1212.06042) Full Text: DOI OpenURL
Wojciechowski, Piotr J. Embeddings of totally ordered MV-algebras of bounded cardinality. (English) Zbl 1174.06016 Fundam. Math. 203, No. 1, 57-63 (2009). Reviewer: Yichuan Yang (Beijing) MSC: 06D35 06F20 PDF BibTeX XML Cite \textit{P. J. Wojciechowski}, Fundam. Math. 203, No. 1, 57--63 (2009; Zbl 1174.06016) Full Text: DOI OpenURL
Ball, R.; Gochev, V.; Hager, A.; Todorčević, S.; Zoble, S. Topological group criterion for \(C(X)\) in compact-open-like topologies. I. (English) Zbl 1166.54007 Topology Appl. 156, No. 4, 710-720 (2009). Reviewer: Vladimir Tkachuk (Mexico) MSC: 54C35 18A20 54A10 06F20 54D20 22A99 46A40 03E05 PDF BibTeX XML Cite \textit{R. Ball} et al., Topology Appl. 156, No. 4, 710--720 (2009; Zbl 1166.54007) Full Text: DOI OpenURL
Rump, Wolfgang; Yang, Yi Chuan Lateral completion and structure sheaf of an Archimedean \(l\)-group. (English) Zbl 1170.06007 J. Pure Appl. Algebra 213, No. 1, 136-143 (2009). Reviewer: Jan Jakubík (Košice) MSC: 06F20 18F20 PDF BibTeX XML Cite \textit{W. Rump} and \textit{Y. C. Yang}, J. Pure Appl. Algebra 213, No. 1, 136--143 (2009; Zbl 1170.06007) Full Text: DOI OpenURL
Jakubík, Ján On some types of radical classes. (English) Zbl 1174.06322 Czech. Math. J. 58, No. 3, 833-848 (2008). MSC: 06E05 06D35 06F20 PDF BibTeX XML Cite \textit{J. Jakubík}, Czech. Math. J. 58, No. 3, 833--848 (2008; Zbl 1174.06322) Full Text: DOI EuDML Link OpenURL
Silva, A. de A. E.; Bastos, G. G.; Juriaans, S. O. Lattices and groups of divisibility. (English) Zbl 1160.11036 JP J. Algebra Number Theory Appl. 12, No. 1, 1-10 (2008). Reviewer: Jan Jakubík (Košice) MSC: 11H06 06F20 PDF BibTeX XML Cite \textit{A. de A. E. Silva} et al., JP J. Algebra Number Theory Appl. 12, No. 1, 1--10 (2008; Zbl 1160.11036) Full Text: Link OpenURL
Buskes, Gerard; Redfield, R. H. Square means and geometric means in lattice-ordered groups and vector lattices. (English) Zbl 1158.06010 Algebra Univers. 59, No. 1-2, 133-157 (2008). Reviewer: Yichuan Yang (Beijing) MSC: 06F20 06F25 PDF BibTeX XML Cite \textit{G. Buskes} and \textit{R. H. Redfield}, Algebra Univers. 59, No. 1--2, 133--157 (2008; Zbl 1158.06010) Full Text: DOI OpenURL
Marra, Vincenzo A characterization of MV-algebras free over finite distributive lattices. (English) Zbl 1148.06006 Arch. Math. Logic 47, No. 3, 263-276 (2008). Reviewer: Jan Jakubík (Košice) MSC: 06D35 06F20 PDF BibTeX XML Cite \textit{V. Marra}, Arch. Math. Logic 47, No. 3, 263--276 (2008; Zbl 1148.06006) Full Text: DOI OpenURL
Freyd, Peter Algebraic real analysis. (English) Zbl 1160.03043 Theory Appl. Categ. 20, 215-306 (2008). Reviewer: Dimitru Buşneag (Craiova) MSC: 03G30 18B25 18B30 18F20 PDF BibTeX XML Cite \textit{P. Freyd}, Theory Appl. Categ. 20, 215--306 (2008; Zbl 1160.03043) Full Text: EuDML EMIS OpenURL
Rump, Wolfgang; Yang, Yi Chuan Jaffard-Ohm correspondence and Hochster duality. (English) Zbl 1151.13001 Bull. Lond. Math. Soc. 40, No. 2, 263-273 (2008). Reviewer: Daniel D. Anderson (Iowa City) MSC: 13A05 13G05 06F20 13A18 14A05 PDF BibTeX XML Cite \textit{W. Rump} and \textit{Y. C. Yang}, Bull. Lond. Math. Soc. 40, No. 2, 263--273 (2008; Zbl 1151.13001) Full Text: DOI OpenURL
Marra, Vincenzo Weinberg’s theorem, Elliott’s ultrasimplicial property, and a characterisation of free lattice-ordered abelian groups. (English) Zbl 1151.06009 Forum Math. 20, No. 3, 505-513 (2008). Reviewer: Jiří Rachůnek (Olomouc) MSC: 06F20 PDF BibTeX XML Cite \textit{V. Marra}, Forum Math. 20, No. 3, 505--513 (2008; Zbl 1151.06009) Full Text: DOI OpenURL
Florek, Jan Orthocomplemented lattices in ordered groups. (English) Zbl 1147.06008 Algebra Univers. 58, No. 3, 341-347 (2008). Reviewer: Mirko Navara (Praha) MSC: 06C15 06A06 06F15 06F20 PDF BibTeX XML Cite \textit{J. Florek}, Algebra Univers. 58, No. 3, 341--347 (2008; Zbl 1147.06008) Full Text: DOI OpenURL
Mundici, Daniele The Haar theorem for lattice-ordered abelian groups with order-unit. (English) Zbl 1154.28007 Discrete Contin. Dyn. Syst. 21, No. 2, 537-549 (2008). Reviewer: Hans Weber (Udine) MSC: 28C05 52B70 06F20 26B15 PDF BibTeX XML Cite \textit{D. Mundici}, Discrete Contin. Dyn. Syst. 21, No. 2, 537--549 (2008; Zbl 1154.28007) Full Text: DOI OpenURL
de Pagter, Ben; Ricker, Werner J. \(R\)-bounded representations of \(L^1(G)\). (English) Zbl 1140.22005 Positivity 12, No. 1, 151-166 (2008). Reviewer: Julian Musielak (Poznań) MSC: 22D12 46B20 43A25 46B42 47B40 47B60 PDF BibTeX XML Cite \textit{B. de Pagter} and \textit{W. J. Ricker}, Positivity 12, No. 1, 151--166 (2008; Zbl 1140.22005) Full Text: DOI OpenURL
Jakubík, Ján \(K\)-radical classes and product radical classes of MV-algebras. (English) Zbl 1174.06315 Math. Slovaca 58, No. 2, 143-154 (2008). MSC: 06D35 06F20 PDF BibTeX XML Cite \textit{J. Jakubík}, Math. Slovaca 58, No. 2, 143--154 (2008; Zbl 1174.06315) Full Text: DOI OpenURL
Černák, Štefan Convergence with a fixed regulator in lattice ordered groups and applications to MV-algebras. (English) Zbl 1134.06013 Soft Comput. 12, No. 5, 453-462 (2008). MSC: 06F20 06D35 PDF BibTeX XML Cite \textit{Š. Černák}, Soft Comput. 12, No. 5, 453--462 (2008; Zbl 1134.06013) Full Text: DOI OpenURL
Eleftheriou, Pantelis E.; Starchenko, Sergei Groups definable in ordered vector spaces over ordered division rings. (English) Zbl 1130.03028 J. Symb. Log. 72, No. 4, 1108-1140 (2007). MSC: 03C64 06F20 22C05 46A40 PDF BibTeX XML Cite \textit{P. E. Eleftheriou} and \textit{S. Starchenko}, J. Symb. Log. 72, No. 4, 1108--1140 (2007; Zbl 1130.03028) Full Text: DOI Euclid OpenURL
Ball, Richard N.; Hager, Anthony W. Epi-topology and epi-convergence for Archimedean lattice-ordered groups with unit. (English) Zbl 1124.06013 Appl. Categ. Struct. 15, No. 1-2, 81-107 (2007). Reviewer: Jiří Rachůnek (Olomouc) MSC: 06F20 18A20 46H15 54A20 54C35 PDF BibTeX XML Cite \textit{R. N. Ball} and \textit{A. W. Hager}, Appl. Categ. Struct. 15, No. 1--2, 81--107 (2007; Zbl 1124.06013) Full Text: DOI OpenURL
Glass, A. M. W.; Marra, Vincenzo The underlying group of any finitely generated abelian lattice-ordered group is free. (English) Zbl 1122.06014 Algebra Univers. 56, No. 3-4, 467-468 (2007). Reviewer: Renata Majovská (Horní Suchá) MSC: 06F20 PDF BibTeX XML Cite \textit{A. M. W. Glass} and \textit{V. Marra}, Algebra Univers. 56, No. 3--4, 467--468 (2007; Zbl 1122.06014) Full Text: DOI OpenURL
McGovern, Warren W. Bézout SP-domains. (English) Zbl 1113.13010 Commun. Algebra 35, No. 5, 1777-1781 (2007). MSC: 13F05 06F20 PDF BibTeX XML Cite \textit{W. W. McGovern}, Commun. Algebra 35, No. 5, 1777--1781 (2007; Zbl 1113.13010) Full Text: DOI OpenURL
Glass, A. M. W.; Marra, Vincenzo; Mundici, Daniele Embedding in finitely presented lattice-ordered groups: explicit presentation for constructions. (English) Zbl 1125.06013 Campbell, C.M. (ed.) et al., Groups St. Andrews 2005. Vol. II. Selected papers of the conference, St. Andrews, UK, July 30–August 6, 2005. Cambridge: Cambridge University Press (ISBN 978-0-521-69470-4/pbk). London Mathematical Society Lecture Note Series 340, 438-444 (2007). Reviewer: Renata Majovská (Horní Suchá) MSC: 06F15 06F20 20B27 20F60 PDF BibTeX XML Cite \textit{A. M. W. Glass} et al., Lond. Math. Soc. Lect. Note Ser. 340, 438--444 (2007; Zbl 1125.06013) OpenURL
Florek, Jan Orthomodular lattices in ordered vector spaces. (English) Zbl 1120.06005 Algebra Univers. 56, No. 1, 57-68 (2007). Reviewer: Mirko Navara (Praha) MSC: 06C15 06F20 PDF BibTeX XML Cite \textit{J. Florek}, Algebra Univers. 56, No. 1, 57--68 (2007; Zbl 1120.06005) Full Text: DOI OpenURL
Mundici, Daniele Revisiting the free 2-generator abelian \(\ell\)-group. (English) Zbl 1118.06010 J. Pure Appl. Algebra 208, No. 2, 549-554 (2007). Reviewer: C. G. Chehata (Orlando) MSC: 06F20 PDF BibTeX XML Cite \textit{D. Mundici}, J. Pure Appl. Algebra 208, No. 2, 549--554 (2007; Zbl 1118.06010) Full Text: DOI OpenURL
Manara, Corrado; Marra, Vincenzo; Mundici, Daniele Lattice-ordered abelian groups and Schauder bases of unimodular fans. (English) Zbl 1118.06009 Trans. Am. Math. Soc. 359, No. 4, 1593-1604 (2007). Reviewer: C. G. Chehata (Orlando) MSC: 06F20 PDF BibTeX XML Cite \textit{C. Manara} et al., Trans. Am. Math. Soc. 359, No. 4, 1593--1604 (2007; Zbl 1118.06009) Full Text: DOI OpenURL
Jakubík, Ján Subdirect decompositions and the radical of a generalized Boolean algebra extension of a lattice ordered group. (English) Zbl 1164.06328 Czech. Math. J. 56, No. 2, 733-754 (2006). MSC: 06F15 06F20 PDF BibTeX XML Cite \textit{J. Jakubík}, Czech. Math. J. 56, No. 2, 733--754 (2006; Zbl 1164.06328) Full Text: DOI EuDML Link OpenURL
Pardo, Enrique; Wehrung, Friedrich Semilattices of groups and nonstable K-theory of extended Cuntz limits. (English) Zbl 1114.46050 \(K\)-Theory 37, No. 1-2, 1-23 (2006). MSC: 46L80 20M17 06A12 06F05 46L35 PDF BibTeX XML Cite \textit{E. Pardo} and \textit{F. Wehrung}, \(K\)-Theory 37, No. 1--2, 1--23 (2006; Zbl 1114.46050) Full Text: DOI arXiv Link OpenURL