Kliem, Jonathan; Stump, Christian A new face iterator for polyhedra and for more general finite locally branched lattices. (English) Zbl 07526461 Discrete Comput. Geom. 67, No. 4, 1147-1173 (2022). MSC: 52B05 52B20 20M14 20-08 06A07 68Q25 05A15 05B35 PDF BibTeX XML Cite \textit{J. Kliem} and \textit{C. Stump}, Discrete Comput. Geom. 67, No. 4, 1147--1173 (2022; Zbl 07526461) Full Text: DOI OpenURL
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
Tenner, Bridget Eileen Interval structures in the Bruhat and weak orders. (English) Zbl 07468781 J. Comb. 13, No. 1, 135-165 (2022). MSC: 20F55 05A05 05A15 06A07 PDF BibTeX XML Cite \textit{B. E. Tenner}, J. Comb. 13, No. 1, 135--165 (2022; Zbl 07468781) Full Text: DOI arXiv 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
Neuwirth, Stefan Lorenzen’s reshaping of Krull’s Fundamentalsatz for integral domains (1938–1953). (English) Zbl 07465331 Heinzmann, Gerhard (ed.) et al., Paul Lorenzen – mathematician and logician. Contributions presented at the workshop, Konstanz, Germany, March 8–9, 2018. Cham: Springer. Log. Epistemol. Unity Sci. 51, 143-183 (2021). Reviewer: Volker Peckhaus (Paderborn) MSC: 01A70 01A60 03A05 03G10 06-03 06B10 PDF BibTeX XML Cite \textit{S. Neuwirth}, Log. Epistemol. Unity Sci. 51, 143--183 (2021; Zbl 07465331) Full Text: DOI arXiv 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
Navara, Mirko; Voráček, Václav Quantum structures without group-valued measures. (English) Zbl 07420787 Int. J. Theor. Phys. 60, No. 2, 687-695 (2021). MSC: 06Cxx 06-XX 46Cxx 81Pxx PDF BibTeX XML Cite \textit{M. Navara} and \textit{V. Voráček}, Int. J. Theor. Phys. 60, No. 2, 687--695 (2021; Zbl 07420787) Full Text: DOI OpenURL
Dalla Volta, Francesca; Zini, Giovanni On two Möbius functions for a finite non-solvable group. (English) Zbl 07416214 Commun. Algebra 49, No. 11, 4565-4576 (2021). MSC: 20D30 05E15 06A07 PDF BibTeX XML Cite \textit{F. Dalla Volta} and \textit{G. Zini}, Commun. Algebra 49, No. 11, 4565--4576 (2021; Zbl 07416214) Full Text: DOI arXiv 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
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
Ben Amor, Mohamed Amine Tensor product of \(f\)-rings. (English) Zbl 07345588 Positivity 25, No. 2, 663-668 (2021). MSC: 06F25 06F15 PDF BibTeX XML Cite \textit{M. A. Ben Amor}, Positivity 25, No. 2, 663--668 (2021; Zbl 07345588) Full Text: DOI arXiv OpenURL
Zabeti, Omid Topological lattice rings with the \(AM\)-property. (English) Zbl 1461.13028 Vladikavkaz. Mat. Zh. 23, No. 1, 20-31 (2021). Reviewer: Telveenus Antony (Kingston upon Thames) MSC: 13J25 06F25 PDF BibTeX XML Cite \textit{O. Zabeti}, Vladikavkaz. Mat. Zh. 23, No. 1, 20--31 (2021; Zbl 1461.13028) Full Text: DOI arXiv MNR 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
Grandis, Marco An elementary overview of mathematical structures. Algebra, topology and categories. (English) Zbl 1468.18001 Hackensack, NJ: World Scientific (ISBN 978-981-12-2031-9/hbk; 978-981-12-2033-3/ebook). x, 382 p. (2021). Reviewer: Sergejs Solovjovs (Praha) MSC: 18-01 06-01 08-01 13-01 46H05 54-01 55M99 55U99 PDF BibTeX XML Cite \textit{M. Grandis}, An elementary overview of mathematical structures. Algebra, topology and categories. Hackensack, NJ: World Scientific (2021; Zbl 1468.18001) Full Text: DOI OpenURL
Pourgholamhossein, Mahmood; Ranjbar, Mohammad Ali Unital topology on a unital \(l\)-group. (English) Zbl 07439838 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 07439838) Full Text: DOI OpenURL
Heckman, Jonathan J. Qubit construction in 6D SCFTs. (English) Zbl 1472.81220 Phys. Lett., B 811, Article ID 135891, 6 p. (2020). MSC: 81T40 81T60 83E15 16G20 82B20 81P40 81T17 81Q10 81T33 PDF BibTeX XML Cite \textit{J. J. Heckman}, Phys. Lett., B 811, Article ID 135891, 6 p. (2020; Zbl 1472.81220) Full Text: DOI arXiv 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
Boccuto, A. Some new results on Dieudonné-type theorems for \(k\)-triangular lattice group-valued set functions. (English) Zbl 1457.28012 Boll. Unione Mat. Ital. 13, No. 4, 495-502 (2020). MSC: 28E10 28B15 PDF BibTeX XML Cite \textit{A. Boccuto}, Boll. Unione Mat. Ital. 13, No. 4, 495--502 (2020; Zbl 1457.28012) Full Text: DOI 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
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 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
Rump, Wolfgang \(L\)-algebras in logic, algebra, geometry, and topology. (English) Zbl 1457.03076 Soft Comput. 24, No. 5, 3077-3085 (2020). Reviewer: Jānis Cīrulis (Riga) MSC: 03G25 06D20 06F15 11A41 15A03 28A12 54B05 PDF BibTeX XML Cite \textit{W. Rump}, Soft Comput. 24, No. 5, 3077--3085 (2020; Zbl 1457.03076) 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
Mühle, Henri; Ripoll, Vivien Connectivity properties of factorization posets in generated groups. (English) Zbl 1481.20114 Order 37, No. 1, 115-149 (2020). MSC: 20F05 06A07 20F36 PDF BibTeX XML Cite \textit{H. Mühle} and \textit{V. Ripoll}, Order 37, No. 1, 115--149 (2020; Zbl 1481.20114) Full Text: DOI arXiv OpenURL
Viard, François Extending the weak order on Coxeter groups. (English. French summary) Zbl 1440.05108 Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4–8, 2016. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 1171-1182 (2020). MSC: 05C20 20F55 06A07 PDF BibTeX XML Cite \textit{F. Viard}, in: Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4--8, 2016. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 1171--1182 (2020; Zbl 1440.05108) Full Text: Link 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
Brazas, Jeremy; Fischer, Hanspeter Test map characterizations of local properties of fundamental groups. (English) Zbl 1454.55015 J. Topol. Anal. 12, No. 1, 37-85 (2020). Reviewer: Leonard R. Rubin (Norman) MSC: 55Q52 57M12 06A15 54D05 55Q07 57M05 PDF BibTeX XML Cite \textit{J. Brazas} and \textit{H. Fischer}, J. Topol. Anal. 12, No. 1, 37--85 (2020; Zbl 1454.55015) 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
Barbieri, Giuseppina A Dieudonné theorem for lattice group-valued measures. (English) Zbl 07177921 Kybernetika 55, No. 5, 870-878 (2019). MSC: 28A12 28A33 28B15 PDF BibTeX XML Cite \textit{G. Barbieri}, Kybernetika 55, No. 5, 870--878 (2019; Zbl 07177921) Full Text: DOI Link OpenURL
Boccuto, Antonio; Dimitriou, Xenofon Dieudonné-type theorems for lattice group-valued \(k\)-triangular set functions. (English) Zbl 1463.28003 Kybernetika 55, No. 2, 233-251 (2019). Reviewer: Hans Weber (Udine) MSC: 28A12 28A33 28B10 28B15 40A35 PDF BibTeX XML Cite \textit{A. Boccuto} and \textit{X. Dimitriou}, Kybernetika 55, No. 2, 233--251 (2019; Zbl 1463.28003) Full Text: DOI OpenURL
Wang, Weijia Twisted weak orders of Coxeter groups. (English) Zbl 1443.20070 Order 36, No. 3, 511-523 (2019). Reviewer: Erich W. Ellers (Toronto) MSC: 20F55 06F15 20F60 PDF BibTeX XML Cite \textit{W. Wang}, Order 36, No. 3, 511--523 (2019; Zbl 1443.20070) Full Text: DOI arXiv 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
Møller, Jesper M. Equivariant Euler characteristics of subspace posets. (English) Zbl 07094568 J. Comb. Theory, Ser. A 167, 431-459 (2019). MSC: 06-XX PDF BibTeX XML Cite \textit{J. M. Møller}, J. Comb. Theory, Ser. A 167, 431--459 (2019; Zbl 07094568) Full Text: DOI arXiv 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
Haffner, Emmylou From modules to lattices: insight into the genesis of Dedekind’s Dualgruppen. (English) Zbl 1419.01003 Br. J. Hist. Math. 34, No. 1, 23-42 (2019). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 01A55 06-03 PDF BibTeX XML Cite \textit{E. Haffner}, Br. J. Hist. Math. 34, No. 1, 23--42 (2019; Zbl 1419.01003) 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
Dietzel, Carsten A right-invariant lattice-order on groups of paraunitary matrices. (English) Zbl 1428.06002 J. Algebra 524, 226-249 (2019). Reviewer: Xie Xiang-Yun (Guangdong) MSC: 06F15 06C15 15B10 20F36 PDF BibTeX XML Cite \textit{C. Dietzel}, J. Algebra 524, 226--249 (2019; Zbl 1428.06002) Full Text: DOI arXiv 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
Mühle, Henri; Ripoll, Vivien Connectivity properties of factorization posets in generated groups. (English) Zbl 1481.20113 Sémin. Lothar. Comb. 80B, 80B.56, 12 p. (2018). MSC: 20F05 06A07 20F36 PDF BibTeX XML Cite \textit{H. Mühle} and \textit{V. Ripoll}, Sémin. Lothar. Comb. 80B, 80B.56, 12 p. (2018; Zbl 1481.20113) Full Text: arXiv Link OpenURL
Clifton, Alexander; Dillery, Peter; Garver, Alexander The canonical join complex for biclosed sets. (English) Zbl 1411.05303 Sémin. Lothar. Comb. 80B, 80B.2, 12 p. (2018). MSC: 05E45 05E18 16G20 PDF BibTeX XML Cite \textit{A. Clifton} et al., Sémin. Lothar. Comb. 80B, 80B.2, 12 p. (2018; Zbl 1411.05303) Full Text: Link OpenURL
Agarwal, Ayush; Gaetz, Christian Differential posets, Cayley graphs, and critical groups. (English) Zbl 1410.05084 Sémin. Lothar. Comb. 80B, 80B.11, 12 p. (2018). MSC: 05C25 05E10 05E18 14E16 17B22 06A07 PDF BibTeX XML Cite \textit{A. Agarwal} and \textit{C. Gaetz}, Sémin. Lothar. Comb. 80B, 80B.11, 12 p. (2018; Zbl 1410.05084) Full Text: Link 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
Borzooei, Rajabali A.; Hosseini, Fateme; Zahiri, Omid Convex \(L\)-lattice subgroups in \(L\)-ordered groups. (English) Zbl 1403.06025 Categ. Gen. Algebr. Struct. Appl. 9, No. 1, 139-161 (2018). MSC: 06F15 06D22 PDF BibTeX XML Cite \textit{R. A. Borzooei} et al., Categ. Gen. Algebr. Struct. Appl. 9, No. 1, 139--161 (2018; Zbl 1403.06025) Full Text: Link 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
Boccuto, Antonio; Dimitriou, Xenofon Equivalence between limit theorems for lattice group-valued \(k\)-triangular set functions. (English) Zbl 1400.28004 Mediterr. J. Math. 15, No. 4, Paper No. 174, 1-20 (2018). MSC: 28A12 26E50 28A33 28B10 28B15 46G10 PDF BibTeX XML Cite \textit{A. Boccuto} and \textit{X. Dimitriou}, Mediterr. J. Math. 15, No. 4, Paper No. 174, 1--20 (2018; Zbl 1400.28004) Full Text: DOI arXiv 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
Balodi, Mamta; Palcoux, Sebastien On Boolean intervals of finite groups. (English) Zbl 1441.05231 J. Comb. Theory, Ser. A 157, 49-69 (2018). MSC: 05E10 06A07 13C14 PDF BibTeX XML Cite \textit{M. Balodi} and \textit{S. Palcoux}, J. Comb. Theory, Ser. A 157, 49--69 (2018; Zbl 1441.05231) Full Text: DOI arXiv 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
Rump, Wolfgang The structure group of a generalized orthomodular lattice. (English) Zbl 1412.06011 Stud. Log. 106, No. 1, 85-100 (2018). Reviewer: Josef Tkadlec (Praha) MSC: 06C15 81P10 81P15 20F36 06F15 PDF BibTeX XML Cite \textit{W. Rump}, Stud. Log. 106, No. 1, 85--100 (2018; Zbl 1412.06011) Full Text: DOI OpenURL
Gorodnik, Alexander; Spatzier, Ralf Smooth factors of projective actions of higher-rank lattices and rigidity. (English) Zbl 1384.37033 Geom. Topol. 22, No. 2, 1227-1266 (2018). Reviewer: Marta Macho Stadler (Leioa) MSC: 37C85 14M15 06F30 37C15 PDF BibTeX XML Cite \textit{A. Gorodnik} and \textit{R. Spatzier}, Geom. Topol. 22, No. 2, 1227--1266 (2018; Zbl 1384.37033) Full Text: DOI arXiv OpenURL
Dermenjian, Aram; Hohlweg, Christophe; Pilaud, Vincent The facial weak order and its lattice quotients. (English) Zbl 1375.05270 Trans. Am. Math. Soc. 370, No. 2, 1469-1507 (2018). MSC: 05E15 20F55 06A07 05B05 03G10 20F65 PDF BibTeX XML Cite \textit{A. Dermenjian} et al., Trans. Am. Math. Soc. 370, No. 2, 1469--1507 (2018; Zbl 1375.05270) 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
Barbieri, G.; Boccuto, A. On extensions of \(k\)-subadditive lattice group-valued capacities. (English) Zbl 1388.28002 Ital. J. Pure Appl. Math. 37, 387-408 (2017). MSC: 28A12 28B10 28B15 28C10 46G10 46G12 PDF BibTeX XML Cite \textit{G. Barbieri} and \textit{A. Boccuto}, Ital. J. Pure Appl. Math. 37, 387--408 (2017; Zbl 1388.28002) Full Text: Link OpenURL
McConville, Thomas Crosscut-simplicial lattices. (English) Zbl 1432.06003 Order 34, No. 3, 465-477 (2017). MSC: 06B10 06A07 05E45 20F55 PDF BibTeX XML Cite \textit{T. McConville}, Order 34, No. 3, 465--477 (2017; Zbl 1432.06003) Full Text: DOI arXiv 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) Full Text: Link OpenURL
Mühle, Henri A Heyting algebra on Dyck paths of type \(A\) and \(B\). (English) Zbl 1392.06006 Order 34, No. 2, 327-348 (2017). Reviewer: Guram Bezhanishvili (Las Cruces) MSC: 06D20 06D05 06A07 PDF BibTeX XML Cite \textit{H. Mühle}, Order 34, No. 2, 327--348 (2017; Zbl 1392.06006) Full Text: DOI arXiv 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
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
Ren, Miaomiao; Zhao, Xianzhong The varieties of semilattice-ordered semigroups satisfying \(x^3\equiv x\) and \(xy\equiv yx\). (English) Zbl 1399.20062 Period. Math. Hung. 72, No. 2, 158-170 (2016). Reviewer: Udo Hebisch (Freiberg) MSC: 20M07 08B15 16Y60 08B05 06F05 PDF BibTeX XML Cite \textit{M. Ren} and \textit{X. Zhao}, Period. Math. Hung. 72, No. 2, 158--170 (2016; Zbl 1399.20062) Full Text: DOI OpenURL
Arockia, Reeta J.; Vimala, J. A study on distributive and modular lattice ordered fuzzy soft group and its duality. (English) Zbl 1374.06045 Appl. Math., Ser. B (Engl. Ed.) 31, No. 4, 491-502 (2016). MSC: 06F15 20N25 PDF BibTeX XML Cite \textit{R. J. Arockia} and \textit{J. Vimala}, Appl. Math., Ser. B (Engl. Ed.) 31, No. 4, 491--502 (2016; Zbl 1374.06045) 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
Czédli, Gábor An independence theorem for ordered sets of principal congruences and automorphism groups of bounded lattices. (English) Zbl 1374.06008 Acta Sci. Math. 82, No. 1-2, 3-18 (2016). Reviewer: James Monk (Boulder) MSC: 06B10 06A06 20B25 PDF BibTeX XML Cite \textit{G. Czédli}, Acta Sci. Math. 82, No. 1--2, 3--18 (2016; Zbl 1374.06008) Full Text: DOI OpenURL
Mühle, Henri Trimness of closed intervals in Cambrian semilattices. (Sveltesse des intervalles bornés d’un demi-treillis cambrien.) (English. French summary) Zbl 1376.20041 C. R., Math., Acad. Sci. Paris 354, No. 2, 113-120 (2016). MSC: 20F55 06A07 05E15 PDF BibTeX XML Cite \textit{H. Mühle}, C. R., Math., Acad. Sci. Paris 354, No. 2, 113--120 (2016; Zbl 1376.20041) Full Text: DOI arXiv 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