Bezhanishvili, G.; Harding, J. Duality theory for the category of stable compactifications. (English) Zbl 07465766 Topol. Proc. 61, 1-30 (2023). MSC: 54D35 54E05 06D22 PDF BibTeX XML Cite \textit{G. Bezhanishvili} and \textit{J. Harding}, Topol. Proc. 61, 1--30 (2023; Zbl 07465766) Full Text: Link OpenURL
Suarez, Anna Laura The Booleanization of a d-frame. (English) Zbl 07529321 Appl. Categ. Struct. 30, No. 3, 485-497 (2022). MSC: 18F70 06D22 PDF BibTeX XML Cite \textit{A. L. Suarez}, Appl. Categ. Struct. 30, No. 3, 485--497 (2022; Zbl 07529321) Full Text: DOI OpenURL
Picado, Jorge; Pultr, Aleš Uniformities and a quantale structure on localic groups. (English) Zbl 07527843 Bull. Belg. Math. Soc. - Simon Stevin 28, No. 4, 561-578 (2022). MSC: 06D22 06F07 18F70 54H11 PDF BibTeX XML Cite \textit{J. Picado} and \textit{A. Pultr}, Bull. Belg. Math. Soc. - Simon Stevin 28, No. 4, 561--578 (2022; Zbl 07527843) Full Text: DOI OpenURL
Jana, Purbita; Chakraborty, Mihir K. A categorical approach to graded fuzzy topological system and fuzzy geometric logic with graded consequence. (English) Zbl 07523492 J. Appl. Non-Class. Log. 32, No. 1, 11-27 (2022). Reviewer: Sergejs Solovjovs (Praha) MSC: 54A40 03B52 18B99 18F70 PDF BibTeX XML Cite \textit{P. Jana} and \textit{M. K. Chakraborty}, J. Appl. Non-Class. Log. 32, No. 1, 11--27 (2022; Zbl 07523492) Full Text: DOI OpenURL
Dube, Themba; Ighedo, Oghenetega; Tlharesakgosi, Batsile On ideals of rings of continuous integer-valued functions on a frame. (English) Zbl 07522904 Bull. Belg. Math. Soc. - Simon Stevin 28, No. 3, 429-458 (2022). MSC: 06D22 06F25 13A15 54C30 54G05 PDF BibTeX XML Cite \textit{T. Dube} et al., Bull. Belg. Math. Soc. - Simon Stevin 28, No. 3, 429--458 (2022; Zbl 07522904) Full Text: DOI OpenURL
Tlharesakgosi, Batsile A lattice-theoretic view of some special ideals of subrings of commutative rings. (English) Zbl 07517307 Afr. Mat. 33, No. 2, Paper No. 45, 14 p. (2022). MSC: 06D22 13A15 PDF BibTeX XML Cite \textit{B. Tlharesakgosi}, Afr. Mat. 33, No. 2, Paper No. 45, 14 p. (2022; Zbl 07517307) Full Text: DOI OpenURL
Maruyama, Yoshihiro Chu duality theory and coalgebraic representation of quantum symmetries. (English) Zbl 07506951 J. Pure Appl. Algebra 226, No. 9, Article ID 106960, 23 p. (2022). MSC: 18F70 18E20 16T15 81Q60 PDF BibTeX XML Cite \textit{Y. Maruyama}, J. Pure Appl. Algebra 226, No. 9, Article ID 106960, 23 p. (2022; Zbl 07506951) Full Text: DOI OpenURL
Arrieta, Igor; Picado, Jorge; Pultr, Aleš A new diagonal separation and its relations with the Hausdorff property. (English) Zbl 07502748 Appl. Categ. Struct. 30, No. 2, 247-263 (2022). Reviewer: Joaquín Luna-Torres (Cartagena) MSC: 18F70 06D22 54D10 PDF BibTeX XML Cite \textit{I. Arrieta} et al., Appl. Categ. Struct. 30, No. 2, 247--263 (2022; Zbl 07502748) Full Text: DOI OpenURL
Erné, Marcel; Picado, Jorge; Pultr, Aleš Adjoint maps between implicative semilattices and continuity of localic maps. (English) Zbl 07501177 Algebra Univers. 83, No. 2, Paper No. 13, 23 p. (2022). MSC: 06D20 06D22 18F70 54C05 PDF BibTeX XML Cite \textit{M. Erné} et al., Algebra Univers. 83, No. 2, Paper No. 13, 23 p. (2022; Zbl 07501177) Full Text: DOI OpenURL
Mureşan, Claudia Stone commutator lattices and Baer rings. (English) Zbl 07491459 Discuss. Math., Gen. Algebra Appl. 42, No. 1, 51-52 (2022). MSC: 06B10 06D22 08A30 08B10 PDF BibTeX XML Cite \textit{C. Mureşan}, Discuss. Math., Gen. Algebra Appl. 42, No. 1, 51--52 (2022; Zbl 07491459) Full Text: DOI arXiv OpenURL
Holgate, David; Masuret, Jacques; Sioen, Mark Sequences and related closure and compactness properties in frames. (English) Zbl 07481215 Topology Appl. 309, Article ID 107912, 9 p. (2022). MSC: 06D22 54A20 54D30 PDF BibTeX XML Cite \textit{D. Holgate} et al., Topology Appl. 309, Article ID 107912, 9 p. (2022; Zbl 07481215) Full Text: DOI OpenURL
Razafindrakoto, A. Separated and prime compactifications. (English) Zbl 07481214 Topology Appl. 309, Article ID 107911, 15 p. (2022). MSC: 06B35 06D22 06F30 18B35 18C15 PDF BibTeX XML Cite \textit{A. Razafindrakoto}, Topology Appl. 309, Article ID 107911, 15 p. (2022; Zbl 07481214) Full Text: DOI OpenURL
Dube, Themba; Stephen, Dorca Nyamusi Pulling and pushing certain ideals in function rings. (English) Zbl 07481211 Topology Appl. 309, Article ID 107908, 18 p. (2022). MSC: 06D22 13A15 18A22 54C30 PDF BibTeX XML Cite \textit{T. Dube} and \textit{D. N. Stephen}, Topology Appl. 309, Article ID 107908, 18 p. (2022; Zbl 07481211) Full Text: DOI OpenURL
Moshier, M. Andrew; Picado, Jorge; Pultr, Aleš Some general aspects of exactness and strong exactness of meets. (English) Zbl 07481209 Topology Appl. 309, Article ID 107906, 14 p. (2022). MSC: 06D22 06A12 18F70 PDF BibTeX XML Cite \textit{M. A. Moshier} et al., Topology Appl. 309, Article ID 107906, 14 p. (2022; Zbl 07481209) Full Text: DOI OpenURL
Ciraulo, Francesco \(\sigma\)-locales in formal topology. (English) Zbl 07471696 Log. Methods Comput. Sci. 18, No. 1, Paper No. 7, 14 p. (2022). MSC: 03B70 68-XX PDF BibTeX XML Cite \textit{F. Ciraulo}, Log. Methods Comput. Sci. 18, No. 1, Paper No. 7, 14 p. (2022; Zbl 07471696) Full Text: arXiv Link OpenURL
Avilez, Ana Belén On classes of localic maps defined by their behavior on zero sublocales. (English) Zbl 07471569 Topology Appl. 308, Article ID 107971, 28 p. (2022). MSC: 06D22 18F70 54C20 54C30 54C45 PDF BibTeX XML Cite \textit{A. B. Avilez}, Topology Appl. 308, Article ID 107971, 28 p. (2022; Zbl 07471569) Full Text: DOI OpenURL
Bhattacharjee, Papiya; Dube, Themba On fraction-dense algebraic frames. (English) Zbl 07468273 Algebra Univers. 83, No. 1, Paper No. 6, 18 p. (2022). MSC: 06D22 13A15 18A22 PDF BibTeX XML Cite \textit{P. Bhattacharjee} and \textit{T. Dube}, Algebra Univers. 83, No. 1, Paper No. 6, 18 p. (2022; Zbl 07468273) Full Text: DOI OpenURL
Rathilal, Cerene A note on S-metrizable frames. (English) Zbl 07464230 Topology Appl. 307, Article ID 107951, 10 p. (2022). MSC: 06D22 54D35 PDF BibTeX XML Cite \textit{C. Rathilal}, Topology Appl. 307, Article ID 107951, 10 p. (2022; Zbl 07464230) Full Text: DOI OpenURL
Ávila, F.; Urenda, J.; Zaldívar, Ángel On the Cantor and Hilbert cube frames and the Alexandroff-Hausdorff theorem. (English) Zbl 07455897 J. Pure Appl. Algebra 226, No. 5, Article ID 106919, 18 p. (2022). MSC: 06D22 18F70 54E35 54G99 PDF BibTeX XML Cite \textit{F. Ávila} et al., J. Pure Appl. Algebra 226, No. 5, Article ID 106919, 18 p. (2022; Zbl 07455897) Full Text: DOI arXiv OpenURL
Arrieta, Igor On joins of complemented sublocales. (English) Zbl 1477.18023 Algebra Univers. 83, No. 1, Paper No. 1, 11 p. (2022). Reviewer: Joaquín Luna-Torres (Cartagena) MSC: 18F70 06D22 54D35 54D10 PDF BibTeX XML Cite \textit{I. Arrieta}, Algebra Univers. 83, No. 1, Paper No. 1, 11 p. (2022; Zbl 1477.18023) Full Text: DOI OpenURL
Pavlov, Dmitri Gelfand-type duality for commutative von Neumann algebras. (English) Zbl 07428832 J. Pure Appl. Algebra 226, No. 4, Article ID 106884, 53 p. (2022). MSC: 46L10 54G05 06D22 18F70 06E15 28A51 28A60 PDF BibTeX XML Cite \textit{D. Pavlov}, J. Pure Appl. Algebra 226, No. 4, Article ID 106884, 53 p. (2022; Zbl 07428832) Full Text: DOI arXiv OpenURL
Di Liberti, Ivan Towards higher topology. (English) Zbl 1470.18014 J. Pure Appl. Algebra 226, No. 3, Article ID 106838, 22 p. (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18F10 03G30 54B30 18F70 18F60 54A05 PDF BibTeX XML Cite \textit{I. Di Liberti}, J. Pure Appl. Algebra 226, No. 3, Article ID 106838, 22 p. (2022; Zbl 1470.18014) Full Text: DOI arXiv OpenURL
Suarez, Anna Laura On the relation between subspaces and sublocales. (English) Zbl 07389890 J. Pure Appl. Algebra 226, No. 2, Article ID 106851, 24 p. (2022). Reviewer: Luis Angel Zaldívar-Corichi (Guadalajara) MSC: 06D22 PDF BibTeX XML Cite \textit{A. L. Suarez}, J. Pure Appl. Algebra 226, No. 2, Article ID 106851, 24 p. (2022; Zbl 07389890) Full Text: DOI arXiv OpenURL
Townsend, Christopher Stably locally compact locales are dual to continuous posets. (English) Zbl 07389883 J. Pure Appl. Algebra 226, No. 2, Article ID 106836, 10 p. (2022). MSC: 06D22 PDF BibTeX XML Cite \textit{C. Townsend}, J. Pure Appl. Algebra 226, No. 2, Article ID 106836, 10 p. (2022; Zbl 07389883) Full Text: DOI OpenURL
Suarez, Anna Laura The category of finitary biframes as the category of pointfree bispaces. (English) Zbl 1477.18024 J. Pure Appl. Algebra 226, No. 2, Article ID 106783, 39 p. (2022). Reviewer: Luis Angel Zaldívar-Corichi (Guadalajara) MSC: 18F70 06D22 PDF BibTeX XML Cite \textit{A. L. Suarez}, J. Pure Appl. Algebra 226, No. 2, Article ID 106783, 39 p. (2022; Zbl 1477.18024) Full Text: DOI arXiv OpenURL
Rezaei, Aliabad Ali; Mahmoudi, Morad Pre-image of functions in \(C(L)\). (English) Zbl 07528806 Categ. Gen. Algebr. Struct. Appl. 15, No. 1, 35-58 (2021). MSC: 06D22 54C05 54C30 PDF BibTeX XML Cite \textit{A. A. Rezaei} and \textit{M. Mahmoudi}, Categ. Gen. Algebr. Struct. Appl. 15, No. 1, 35--58 (2021; Zbl 07528806) Full Text: DOI OpenURL
Adjei, Isaac; Dube, Themba The Banaschewski extension and some variants of openness. (English) Zbl 07518391 Houston J. Math. 47, No. 1, 245-261 (2021). MSC: 06D22 54D35 54G05 PDF BibTeX XML Cite \textit{I. Adjei} and \textit{T. Dube}, Houston J. Math. 47, No. 1, 245--261 (2021; Zbl 07518391) Full Text: Link OpenURL
Edmonds, Chelsea; Paulson, Lawrence C. A modular first formalisation of combinatorial design theory. (English) Zbl 1485.68291 Kamareddine, Fairouz (ed.) et al., Intelligent computer mathematics. 14th international conference, CICM 2021, Timisoara, Romania, July 26–31, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12833, 3-18 (2021). MSC: 68V20 05Bxx 06D22 PDF BibTeX XML Cite \textit{C. Edmonds} and \textit{L. C. Paulson}, Lect. Notes Comput. Sci. 12833, 3--18 (2021; Zbl 1485.68291) Full Text: DOI OpenURL
Picado, Jorge; Pultr, Aleš Notes on point-free topology. (English) Zbl 07482855 Clementino, Maria Manuel (ed.) et al., New perspectives in algebra, topology and categories. Summer school, Louvain-la-Neuve, Belgium, September 12–15, 2018 and September 11–14, 2019. Cham: Springer. Coimbra Math. Texts 1, 173-223 (2021). Reviewer: Joaquín Luna-Torres (Cartagena) MSC: 18F70 06D22 18-02 54-02 PDF BibTeX XML Cite \textit{J. Picado} and \textit{A. Pultr}, Coimbra Math. Texts 1, 173--223 (2021; Zbl 07482855) Full Text: DOI OpenURL
Badie, Mehdi; Shahidikia, Ali; Kasiri, Hossein On continuous functions on \(LG\)-topology. (Persian. English summary) Zbl 1483.54001 JAMM, J. Adv. Math. Model. 11, No. 4, 666-678 (2021). MSC: 54A05 06D22 54C05 PDF BibTeX XML Cite \textit{M. Badie} et al., JAMM, J. Adv. Math. Model. 11, No. 4, 666--678 (2021; Zbl 1483.54001) Full Text: DOI OpenURL
Rogozin, Daniel Categorical and algebraic aspects of the intuitionistic modal logic \(\mathrm{IEL}^{\text{--}}\) and its predicate extensions. (English) Zbl 07471471 J. Log. Comput. 31, No. 1, 347-374 (2021). MSC: 03-XX PDF BibTeX XML Cite \textit{D. Rogozin}, J. Log. Comput. 31, No. 1, 347--374 (2021; Zbl 07471471) Full Text: DOI arXiv OpenURL
Ball, Richard N.; Picado, Jorge; Pultr, Aleš Correction to: “Some aspects of (non) functoriality of natural discrete covers of locales”. (English) Zbl 1478.06001 Quaest. Math. 44, No. 10, 1427 (2021). MSC: 06D22 54D10 54D35 PDF BibTeX XML Cite \textit{R. N. Ball} et al., Quaest. Math. 44, No. 10, 1427 (2021; Zbl 1478.06001) Full Text: DOI OpenURL
Resende, Pedro An abstract theory of physical measurements. (English) Zbl 1483.81015 Found. Phys. 51, No. 6, Paper No. 108, 26 p. (2021). MSC: 81P15 06F07 06D22 22A22 81P05 PDF BibTeX XML Cite \textit{P. Resende}, Found. Phys. 51, No. 6, Paper No. 108, 26 p. (2021; Zbl 1483.81015) Full Text: DOI arXiv OpenURL
Pavlov, V. P. On the first Newton law, the existence of the reference system corresponding to the rest, and the Galilei group. (English. Russian original) Zbl 07440695 Theor. Math. Phys. 209, No. 2, 1652-1656 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 388-393 (2021). MSC: 70H03 18F70 70H33 PDF BibTeX XML Cite \textit{V. P. Pavlov}, Theor. Math. Phys. 209, No. 2, 1652--1656 (2021; Zbl 07440695); translation from Teor. Mat. Fiz. 209, No. 2, 388--393 (2021) Full Text: DOI OpenURL
Anel, Mathieu; Joyal, André Topo-logie. (English) Zbl 1477.18008 Anel, Mathieu (ed.) et al., New spaces in mathematics. Formal and conceptual reflections. Cambridge: Cambridge University Press. 155-257 (2021). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18B25 58A03 14A20 18F70 PDF BibTeX XML Cite \textit{M. Anel} and \textit{A. Joyal}, in: New spaces in mathematics. Formal and conceptual reflections. Cambridge: Cambridge University Press. 155--257 (2021; Zbl 1477.18008) Full Text: Link OpenURL
Estaji, Ali Akbar; Abedi, Mostafa On regularity and injectivity of the ring of real-continuous functions on a topoframe. (English) Zbl 07420375 Algebra Univers. 82, No. 4, Paper No. 60, 19 p. (2021). MSC: 06D22 06F25 54C30 16E50 16D50 54G05 PDF BibTeX XML Cite \textit{A. A. Estaji} and \textit{M. Abedi}, Algebra Univers. 82, No. 4, Paper No. 60, 19 p. (2021; Zbl 07420375) Full Text: DOI OpenURL
Ciraulo, Francesco; Kawai, Tatsuji; Maschio, Samuele Factorizing the \(\mathbf{Top}\)-\(\mathbf{Loc}\) adjunction through positive topologies. (English) Zbl 1482.03015 Arch. Math. Logic 60, No. 7-8, 967-979 (2021). Reviewer: Joaquín Luna-Torres (Cartagena) MSC: 03G30 06D22 18B35 18F70 PDF BibTeX XML Cite \textit{F. Ciraulo} et al., Arch. Math. Logic 60, No. 7--8, 967--979 (2021; Zbl 1482.03015) Full Text: DOI arXiv OpenURL
Cockett, Robin; Garner, Richard Generalising the étale groupoid-complete pseudogroup correspondence. (English) Zbl 1477.18009 Adv. Math. 392, Article ID 108030, 79 p. (2021). Reviewer: Ralf Meyer (Göttingen) MSC: 18B40 20M18 22A22 06D22 PDF BibTeX XML Cite \textit{R. Cockett} and \textit{R. Garner}, Adv. Math. 392, Article ID 108030, 79 p. (2021; Zbl 1477.18009) 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
De Castro, Gilles G. Recovering the boundary path space of a topological graph using pointless topology. (English) Zbl 1484.46053 J. Aust. Math. Soc. 111, No. 2, 232-248 (2021). MSC: 46L05 06D22 05C99 37B10 54B05 54B10 PDF BibTeX XML Cite \textit{G. G. De Castro}, J. Aust. Math. Soc. 111, No. 2, 232--248 (2021; Zbl 1484.46053) Full Text: DOI arXiv OpenURL
Estaji, A. A.; Robat Sarpoushi, M. On \(CP\)-frames. (English) Zbl 07395203 J. Algebra Relat. Top. 9, No. 1, 109-119 (2021). MSC: 06D22 54C05 54C30 PDF BibTeX XML Cite \textit{A. A. Estaji} and \textit{M. Robat Sarpoushi}, J. Algebra Relat. Top. 9, No. 1, 109--119 (2021; Zbl 07395203) Full Text: DOI OpenURL
Karazeris, Panagis; Tsamis, Konstantinos Regular and effective regular categories of locales. (English. French summary) Zbl 1470.18004 Cah. Topol. Géom. Différ. Catég. 62, No. 3, 355-371 (2021). MSC: 18B25 18B35 06D22 PDF BibTeX XML Cite \textit{P. Karazeris} and \textit{K. Tsamis}, Cah. Topol. Géom. Différ. Catég. 62, No. 3, 355--371 (2021; Zbl 1470.18004) Full Text: arXiv Link OpenURL
Dube, Themba Characterizing realcompact locales via remainders. (English) Zbl 07394014 Georgian Math. J. 28, No. 1, 59-72 (2021). MSC: 06D22 54B05 54D20 54D60 PDF BibTeX XML Cite \textit{T. Dube}, Georgian Math. J. 28, No. 1, 59--72 (2021; Zbl 07394014) Full Text: DOI OpenURL
Rezai, Aliabad A.; Zarepour, H. Continuous functions on \(LG\)-spaces. (English) Zbl 1468.06028 J. Algebr. Syst. 8, No. 2, 181-200 (2021). MSC: 06D22 54A05 PDF BibTeX XML Cite \textit{A. A. Rezai} and \textit{H. Zarepour}, J. Algebr. Syst. 8, No. 2, 181--200 (2021; Zbl 1468.06028) Full Text: DOI OpenURL
Mezabarba, Renan M. Pointless proofs of the Menger and Rothberger games. (English) Zbl 1473.54021 Topology Appl. 300, Article ID 107774, 7 p. (2021). MSC: 54C65 91A44 54H12 06D22 PDF BibTeX XML Cite \textit{R. M. Mezabarba}, Topology Appl. 300, Article ID 107774, 7 p. (2021; Zbl 1473.54021) Full Text: DOI arXiv OpenURL
Lawson, M. V.; Resende, P. Morita equivalence of pseudogroups. (English) Zbl 1474.18020 J. Algebra 586, 718-755 (2021). Reviewer: Sergejs Solovjovs (Praha) MSC: 18F75 20M18 18B40 18F10 18F70 22A22 PDF BibTeX XML Cite \textit{M. V. Lawson} and \textit{P. Resende}, J. Algebra 586, 718--755 (2021; Zbl 1474.18020) Full Text: DOI arXiv OpenURL
Shateri, Tayebe Lal \(^\ast\)-controlled frames in Hilbert \(C^\ast\)-modules. (English) Zbl 1471.42070 Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 3, Article ID 2050080, 7 p. (2021). MSC: 42C15 06D22 46L08 PDF BibTeX XML Cite \textit{T. L. Shateri}, Int. J. Wavelets Multiresolut. Inf. Process. 19, No. 3, Article ID 2050080, 7 p. (2021; Zbl 1471.42070) Full Text: DOI OpenURL
Dube, Themba; Stephen, Dorca Nyamusi Mapping ideals to sublocales. (English) Zbl 1479.06001 Appl. Categ. Struct. 29, No. 4, 747-772 (2021). Reviewer: Sergejs Solovjovs (Praha) MSC: 06D22 06F07 13A15 18F70 54C30 54D20 54G10 PDF BibTeX XML Cite \textit{T. Dube} and \textit{D. N. Stephen}, Appl. Categ. Struct. 29, No. 4, 747--772 (2021; Zbl 1479.06001) Full Text: DOI OpenURL
Quijano, Juan Pablo; Resende, Pedro Functoriality of groupoid quantales. II. (English) Zbl 1468.18008 Appl. Categ. Struct. 29, No. 4, 629-670 (2021). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18F15 18F20 18F70 18F75 22A22 55R10 PDF BibTeX XML Cite \textit{J. P. Quijano} and \textit{P. Resende}, Appl. Categ. Struct. 29, No. 4, 629--670 (2021; Zbl 1468.18008) Full Text: DOI arXiv OpenURL
Niefield, Susan Extensions and glueing in double categories. (English) Zbl 1467.18043 Theory Appl. Categ. 36, 348-367 (2021). MSC: 18N10 20E22 18B25 06D22 18F70 18D60 18B35 PDF BibTeX XML Cite \textit{S. Niefield}, Theory Appl. Categ. 36, 348--367 (2021; Zbl 1467.18043) Full Text: Link OpenURL
Yang, Er-Guang Insertion theorems for countably paracompact frames and stratifiable frames. (English) Zbl 07375607 Topology Appl. 299, Article ID 107736, 11 p. (2021). MSC: 06D22 54C08 54D20 54E20 PDF BibTeX XML Cite \textit{E.-G. Yang}, Topology Appl. 299, Article ID 107736, 11 p. (2021; Zbl 07375607) Full Text: DOI OpenURL
Picado, Jorge; Pultr, Aleš On equalizers in the category of locales. (English) Zbl 1467.18023 Appl. Categ. Struct. 29, No. 2, 267-283 (2021). MSC: 18F70 06D22 18B25 54B30 54F05 PDF BibTeX XML Cite \textit{J. Picado} and \textit{A. Pultr}, Appl. Categ. Struct. 29, No. 2, 267--283 (2021; Zbl 1467.18023) Full Text: DOI OpenURL
Bayih, Tilahun; Dube, Themba; Ighedo, Oghenetega On the Menger and almost Menger properties in locales. (English) Zbl 1477.06029 Appl. Gen. Topol. 22, No. 1, 199-221 (2021). MSC: 06D22 54C05 54D20 PDF BibTeX XML Cite \textit{T. Bayih} et al., Appl. Gen. Topol. 22, No. 1, 199--221 (2021; Zbl 1477.06029) Full Text: DOI OpenURL
Iliadis, S. D.; Sadovnichy, Yu. V. On sheaves of abelian groups and universality. (English) Zbl 1465.54012 Appl. Gen. Topol. 22, No. 1, 149-167 (2021). MSC: 54C25 18F20 14F06 06D22 54H11 54B40 PDF BibTeX XML Cite \textit{S. D. Iliadis} and \textit{Yu. V. Sadovnichy}, Appl. Gen. Topol. 22, No. 1, 149--167 (2021; Zbl 1465.54012) Full Text: DOI OpenURL
Ray, Kumar Sankar; Das, Litan Kumar Categorical study for algebras of Fitting’s lattice-valued logic and lattice-valued modal logic. (English) Zbl 1465.18005 Ann. Math. Artif. Intell. 89, No. 3-4, 409-429 (2021). Reviewer: Sergejs Solovjovs (Praha) MSC: 18B99 03B50 06D22 06D50 06E15 08C20 18F70 PDF BibTeX XML Cite \textit{K. S. Ray} and \textit{L. K. Das}, Ann. Math. Artif. Intell. 89, No. 3--4, 409--429 (2021; Zbl 1465.18005) Full Text: DOI arXiv OpenURL
Avilez, Ana Belén; Picado, Jorge Continuous extensions of real functions on arbitrary sublocales and \(C\)-, \(C^\ast\)-, and \(z\)-embeddings. (English) Zbl 1473.18014 J. Pure Appl. Algebra 225, No. 10, Article ID 106702, 24 p. (2021). Reviewer: Joaquín Luna-Torres (Cartagena) MSC: 18F70 06D22 54C20 54C30 54C45 PDF BibTeX XML Cite \textit{A. B. Avilez} and \textit{J. Picado}, J. Pure Appl. Algebra 225, No. 10, Article ID 106702, 24 p. (2021; Zbl 1473.18014) Full Text: DOI OpenURL
Mthethwa, Simo S. Perfectness of 2-star compactifications of frames. (English) Zbl 07354979 Topology Appl. 297, Article ID 107701, 9 p. (2021). MSC: 06D22 54D35 06B35 PDF BibTeX XML Cite \textit{S. S. Mthethwa}, Topology Appl. 297, Article ID 107701, 9 p. (2021; Zbl 07354979) Full Text: DOI OpenURL
Ávila, F.; Bezhanishvili, G.; Morandi, P. J.; Zaldívar, A. The frame of nuclei on an Alexandroff space. (English) Zbl 1485.06007 Order 38, No. 1, 67-78 (2021). Reviewer: Themba Dube (Unisa) MSC: 06D22 54D20 PDF BibTeX XML Cite \textit{F. Ávila} et al., Order 38, No. 1, 67--78 (2021; Zbl 1485.06007) Full Text: DOI arXiv OpenURL
Arrieta, Igor; Suarez, Anna Laura The coframe of \(D\)-sublocales of a locale and the \(T_D\)-duality. (English) Zbl 1474.18019 Topology Appl. 291, Article ID 107614, 23 p. (2021). Reviewer: Jorge Picado (Coimbra) MSC: 18F70 06D22 PDF BibTeX XML Cite \textit{I. Arrieta} and \textit{A. L. Suarez}, Topology Appl. 291, Article ID 107614, 23 p. (2021; Zbl 1474.18019) Full Text: DOI arXiv OpenURL
Bhunia, Goutam A note on certain subrings of \(\mathcal{R} (L)\). (English) Zbl 07312320 Quaest. Math. 44, No. 1, 99-107 (2021). Reviewer: Partha Ghosh (Johannesburg) MSC: 06D22 54D35 PDF BibTeX XML Cite \textit{G. Bhunia}, Quaest. Math. 44, No. 1, 99--107 (2021; Zbl 07312320) Full Text: DOI OpenURL
Mthethwa, Simo Characterising certain compactifications of frames with special attention to Freudenthal. (English) Zbl 07308306 Algebra Univers. 82, No. 1, Paper No. 14, 11 p. (2021). MSC: 06D22 54D35 PDF BibTeX XML Cite \textit{S. Mthethwa}, Algebra Univers. 82, No. 1, Paper No. 14, 11 p. (2021; Zbl 07308306) Full Text: DOI OpenURL
Quijano, Juan Pablo; Resende, Pedro Actions of étale-covered groupoids. (English) Zbl 1448.18015 J. Algebra 566, 222-258 (2021). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18F10 18F20 18F70 18F75 18N10 22A22 PDF BibTeX XML Cite \textit{J. P. Quijano} and \textit{P. Resende}, J. Algebra 566, 222--258 (2021; Zbl 1448.18015) Full Text: DOI arXiv OpenURL
Clementino, Maria Manuel; Montoli, Andrea On the categorical behaviour of \(V\)-groups. (English) Zbl 1445.18001 J. Pure Appl. Algebra 225, No. 4, Article ID 106550, 24 p. (2021). Reviewer: Sergejs Solovjovs (Praha) MSC: 18D20 06F15 06D22 06F07 18B35 18D15 18G50 PDF BibTeX XML Cite \textit{M. M. Clementino} and \textit{A. Montoli}, J. Pure Appl. Algebra 225, No. 4, Article ID 106550, 24 p. (2021; Zbl 1445.18001) Full Text: DOI arXiv OpenURL
Picado, Jorge; Pultr, Aleš Separation in point-free topology. (English) Zbl 07261770 Cham: Birkhäuser (ISBN 978-3-030-53478-3/hbk; 978-3-030-53481-3/pbk; 978-3-030-53479-0/ebook). xxi, 281 p. (2021). Reviewer: Mark Sioen (Aartselaar) MSC: 54-02 54A99 54D10 06D22 PDF BibTeX XML Cite \textit{J. Picado} and \textit{A. Pultr}, Separation in point-free topology. Cham: Birkhäuser (2021; Zbl 07261770) Full Text: DOI OpenURL
Mozo Carollo, Imanol On the universal completion of pointfree function spaces. (English) Zbl 07241697 J. Pure Appl. Algebra 225, No. 2, Article ID 106490, 19 p. (2021). MSC: 06D22 06F20 54D15 54C10 PDF BibTeX XML Cite \textit{I. Mozo Carollo}, J. Pure Appl. Algebra 225, No. 2, Article ID 106490, 19 p. (2021; Zbl 07241697) Full Text: DOI OpenURL
Arrieta, Igor On infinite variants of De Morgan law in locale theory. (English) Zbl 1441.06009 J. Pure Appl. Algebra 225, No. 1, Article ID 106460, 16 p. (2021). MSC: 06D22 18F70 54G05 PDF BibTeX XML Cite \textit{I. Arrieta}, J. Pure Appl. Algebra 225, No. 1, Article ID 106460, 16 p. (2021; Zbl 1441.06009) Full Text: DOI arXiv OpenURL
Korkmaz, Esra; Ertürk, Rıza Compactness and stability in diframes. (English) Zbl 07544876 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 69, No. 1, 97-111 (2020). MSC: 54E55 54A05 54D30 06D22 PDF BibTeX XML Cite \textit{E. Korkmaz} and \textit{R. Ertürk}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 69, No. 1, 97--111 (2020; Zbl 07544876) Full Text: DOI OpenURL
Estaji, Ali Akbar; Haghdadi, Toktam The pointfree version of grills. (English) Zbl 07540890 Filomat 34, No. 8, 2667-2681 (2020). MSC: 06D22 03G10 06D10 54A05 PDF BibTeX XML Cite \textit{A. A. Estaji} and \textit{T. Haghdadi}, Filomat 34, No. 8, 2667--2681 (2020; Zbl 07540890) Full Text: DOI OpenURL
Kumar, Arun A study of algebras and logics of rough sets based on classical and generalized approximation spaces. (English) Zbl 1483.68405 Peters, James F. (ed.) et al., Transactions on Rough Sets XXII. Berlin: Springer. Lect. Notes Comput. Sci. 12485, 123-251 (2020). MSC: 68T37 03B50 03G10 06D20 06D22 06D50 PDF BibTeX XML Cite \textit{A. Kumar}, Lect. Notes Comput. Sci. 12485, 123--251 (2020; Zbl 1483.68405) Full Text: DOI OpenURL
Dube, Themba; Estaji, Ali Akbar; Sarpoushi, Maryam Robat Some relative normality properties in locales. (English) Zbl 1484.06038 Math. Slovaca 70, No. 4, 779-794 (2020). MSC: 06D22 54B05 54C05 54D15 PDF BibTeX XML Cite \textit{T. Dube} et al., Math. Slovaca 70, No. 4, 779--794 (2020; Zbl 1484.06038) Full Text: DOI OpenURL
Estaji, Ali Akbar; Mahmoudi Darghadam, Ahmad Rings of frame maps from \(\mathcal{P}(\mathbb{R})\) to frames which vanish at infinity. (English) Zbl 07416781 Hacet. J. Math. Stat. 49, No. 2, 854-868 (2020). MSC: 06D22 54C05 54C30 PDF BibTeX XML Cite \textit{A. A. Estaji} and \textit{A. Mahmoudi Darghadam}, Hacet. J. Math. Stat. 49, No. 2, 854--868 (2020; Zbl 07416781) Full Text: DOI OpenURL
Abedi, M. On primary ideals of pointfree function rings. (English) Zbl 1468.06023 J. Algebr. Syst. 7, No. 2, 257-269 (2020). MSC: 06D22 13A15 PDF BibTeX XML Cite \textit{M. Abedi}, J. Algebr. Syst. 7, No. 2, 257--269 (2020; Zbl 1468.06023) Full Text: DOI OpenURL
Haridis, Alexandros Structure from appearance: topology with shapes, without points. (English) Zbl 1468.54002 J. Math. Arts 14, No. 3, 199-238 (2020). MSC: 54A05 00A66 00A67 06D22 PDF BibTeX XML Cite \textit{A. Haridis}, J. Math. Arts 14, No. 3, 199--238 (2020; Zbl 1468.54002) Full Text: DOI arXiv OpenURL
Cvetko-Vah, Karin; Hemelaer, Jens; Leech, Jonathan Noncommutative frames revisited. (English) Zbl 1484.06036 Ars Math. Contemp. 19, No. 1, 147-154 (2020). MSC: 06D22 06D75 PDF BibTeX XML Cite \textit{K. Cvetko-Vah} et al., Ars Math. Contemp. 19, No. 1, 147--154 (2020; Zbl 1484.06036) Full Text: DOI arXiv OpenURL
Yao, Wei; Zhou, Chang-Jie A lattice-type duality of lattice-valued fuzzy convex spaces. (English) Zbl 1479.06002 J. Nonlinear Convex Anal. 21, No. 12, 2843-2853 (2020). Reviewer: Sergejs Solovjovs (Praha) MSC: 06D72 06B35 06F07 08A72 18F70 52A01 PDF BibTeX XML Cite \textit{W. Yao} and \textit{C.-J. Zhou}, J. Nonlinear Convex Anal. 21, No. 12, 2843--2853 (2020; Zbl 1479.06002) Full Text: Link OpenURL
Zhao, Fangfang; Huang, Han-Liang The relationships among \(L\)-ordered hull operators, restricted \(L\)-hull operators and strong \(L\)-fuzzy convex structures. (English) Zbl 1468.54013 J. Nonlinear Convex Anal. 21, No. 12, 2817-2829 (2020). Reviewer: Sergejs Solovjovs (Praha) MSC: 54A40 18F60 52A01 03E72 06D22 18B99 PDF BibTeX XML Cite \textit{F. Zhao} and \textit{H.-L. Huang}, J. Nonlinear Convex Anal. 21, No. 12, 2817--2829 (2020; Zbl 1468.54013) Full Text: Link OpenURL
Mirhosseinkhani, Ghasem; Nazari, Narges The category of topological De Morgan molecular lattices. (English) Zbl 1472.06013 J. Math. Ext. 14, No. 3, 133-149 (2020). Reviewer: Sergejs Solovjovs (Praha) MSC: 06D30 06A15 06D10 18B35 18F70 PDF BibTeX XML Cite \textit{G. Mirhosseinkhani} and \textit{N. Nazari}, J. Math. Ext. 14, No. 3, 133--149 (2020; Zbl 1472.06013) Full Text: Link OpenURL
Bezhanishvili, G.; Harding, J. Raney algebras and duality for \(T_0\)-spaces. (English) Zbl 1464.54016 Appl. Categ. Struct. 28, No. 6, 963-973 (2020). Reviewer: Xiaoquan Xu (Zhangzhou) MSC: 54D10 06D22 06E25 06D10 PDF BibTeX XML Cite \textit{G. Bezhanishvili} and \textit{J. Harding}, Appl. Categ. Struct. 28, No. 6, 963--973 (2020; Zbl 1464.54016) Full Text: DOI OpenURL
Moshier, M. A.; Pultr, A.; Suarez, A. L. Exact and strongly exact filters. (English) Zbl 1461.18010 Appl. Categ. Struct. 28, No. 6, 907-920 (2020). Reviewer: Sergejs Solovjovs (Praha) MSC: 18F70 06A15 06D20 06D22 PDF BibTeX XML Cite \textit{M. A. Moshier} et al., Appl. Categ. Struct. 28, No. 6, 907--920 (2020; Zbl 1461.18010) Full Text: DOI OpenURL
Hemelaer, Jens A topological groupoid representing the topos of presheaves on a monoid. (English) Zbl 1460.18009 Appl. Categ. Struct. 28, No. 5, 749-772 (2020). MSC: 18F10 18B35 18B40 18F20 18F70 22A22 58A03 58H05 PDF BibTeX XML Cite \textit{J. Hemelaer}, Appl. Categ. Struct. 28, No. 5, 749--772 (2020; Zbl 1460.18009) Full Text: DOI arXiv OpenURL
Goubault-Larrecq, Jean; Mynard, Frédéric Convergence without points. (English) Zbl 1473.54006 Houston J. Math. 46, No. 1, 227-282 (2020). Reviewer: Themba Dube (Unisa) MSC: 54A20 06D22 PDF BibTeX XML Cite \textit{J. Goubault-Larrecq} and \textit{F. Mynard}, Houston J. Math. 46, No. 1, 227--282 (2020; Zbl 1473.54006) Full Text: arXiv Link OpenURL
Estaji, A. A.; Karimi Feizabadi, A.; Robat Sarpoushi, M. Sums of strongly \(z\)-ideals and prime ideals in \(\mathcal{RL}\). (English) Zbl 1455.06007 Iran. J. Math. Sci. Inform. 15, No. 1, 23-34 (2020). MSC: 06D22 54C05 54C30 13A15 PDF BibTeX XML Cite \textit{A. A. Estaji} et al., Iran. J. Math. Sci. Inform. 15, No. 1, 23--34 (2020; Zbl 1455.06007) Full Text: Link OpenURL
Baboolal, Dharmanand; Picado, Jorge; Pillay, Paranjothi; Pultr, Aleš Hewitt’s irresolvability and induced sublocales in spatial frames. (English) Zbl 1484.06035 Quaest. Math. 43, No. 11, 1601-1612 (2020). MSC: 06D22 54G12 54G15 PDF BibTeX XML Cite \textit{D. Baboolal} et al., Quaest. Math. 43, No. 11, 1601--1612 (2020; Zbl 1484.06035) Full Text: DOI OpenURL
Dube, Themba; Stephen, Dorca Nyamusi On ideals of rings of continuous functions associated with sublocales. (English) Zbl 1473.54014 Topology Appl. 284, Article ID 107360, 25 p. (2020). MSC: 54C30 06D22 13A15 18A22 18F70 54C40 PDF BibTeX XML Cite \textit{T. Dube} and \textit{D. N. Stephen}, Topology Appl. 284, Article ID 107360, 25 p. (2020; Zbl 1473.54014) Full Text: DOI OpenURL
Cvetko-Vah, Karin; Hemelaer, Jens; Le Bruyn, Lieven Duality for noncommutative frames. (English) Zbl 1467.18022 Topology Appl. 282, Article ID 107310, 26 p. (2020). Reviewer: Luis Angel Zaldívar-Corichi (Guadalajara) MSC: 18F70 06D22 PDF BibTeX XML Cite \textit{K. Cvetko-Vah} et al., Topology Appl. 282, Article ID 107310, 26 p. (2020; Zbl 1467.18022) Full Text: DOI arXiv OpenURL
Marra, Vincenzo; Reggio, Luca A characterisation of the category of compact Hausdorff spaces. (English) Zbl 1451.18023 Theory Appl. Categ. 35, 1871-1906 (2020). Reviewer: Sergejs Solovjovs (Praha) MSC: 18F60 06E15 18B25 18E08 18F70 54B30 PDF BibTeX XML Cite \textit{V. Marra} and \textit{L. Reggio}, Theory Appl. Categ. 35, 1871--1906 (2020; Zbl 1451.18023) Full Text: arXiv Link OpenURL
Reshma, M. T. Elizabeth; Johnson, T. P. pr-convergence of filters and nets in frames. (English) Zbl 1472.06012 J. Adv. Math. Stud. 13, No. 2, 123-132 (2020). Reviewer: Themba Dube (Unisa) MSC: 06D22 54A20 54D30 54D15 54D35 PDF BibTeX XML Cite \textit{M. T. E. Reshma} and \textit{T. P. Johnson}, J. Adv. Math. Stud. 13, No. 2, 123--132 (2020; Zbl 1472.06012) Full Text: Link OpenURL
Ballarin, Clemens Exploring the structure of an algebra text with locales. (English) Zbl 1468.68277 J. Autom. Reasoning 64, No. 6, 1093-1121 (2020). MSC: 68V15 68V20 PDF BibTeX XML Cite \textit{C. Ballarin}, J. Autom. Reasoning 64, No. 6, 1093--1121 (2020; Zbl 1468.68277) Full Text: DOI OpenURL
Estaji, Ali Akbar; Mahmoudi Darghadam, Ahmad Free ideals and real ideals of the ring of frame maps from \(\mathcal{P}(\mathbb{R})\) to a frame. (English) Zbl 1463.06088 Algebr. Struct. Appl. 7, No. 2, 93-113 (2020). MSC: 06F25 06D22 16D25 54C30 PDF BibTeX XML Cite \textit{A. A. Estaji} and \textit{A. Mahmoudi Darghadam}, Algebr. Struct. Appl. 7, No. 2, 93--113 (2020; Zbl 1463.06088) Full Text: DOI OpenURL
Dube, Themba Amenable and locally amenable algebraic frames. (English) Zbl 1484.06037 Order 37, No. 3, 509-528 (2020). MSC: 06D22 PDF BibTeX XML Cite \textit{T. Dube}, Order 37, No. 3, 509--528 (2020; Zbl 1484.06037) Full Text: DOI OpenURL
Georgiou, D.; Iliadis, S.; Megaritis, A.; Sereti, F. Universality property and dimension for frames. (English) Zbl 1484.06040 Order 37, No. 3, 427-444 (2020). MSC: 06D22 54F45 54H12 PDF BibTeX XML Cite \textit{D. Georgiou} et al., Order 37, No. 3, 427--444 (2020; Zbl 1484.06040) Full Text: DOI OpenURL
Bai, Ruiqi; Yang, Yichuan Structure and representation of semimodules over inclines. (English) Zbl 1484.06020 Ann. Pure Appl. Logic 171, No. 10, Article ID 102844, 31 p. (2020). MSC: 06B10 06B30 06A12 06D22 06D35 16Y60 PDF BibTeX XML Cite \textit{R. Bai} and \textit{Y. Yang}, Ann. Pure Appl. Logic 171, No. 10, Article ID 102844, 31 p. (2020; Zbl 1484.06020) Full Text: DOI OpenURL
Elyasi, M.; Estaji, A. A.; Robat Sarpoushi, M. Locally functionally countable subalgebra of \(\mathcal{R}(L)\). (English) Zbl 07250674 Arch. Math., Brno 56, No. 3, 127-140 (2020). MSC: 06D22 54C05 54C30 PDF BibTeX XML Cite \textit{M. Elyasi} et al., Arch. Math., Brno 56, No. 3, 127--140 (2020; Zbl 07250674) Full Text: DOI OpenURL
Ball, R. N.; Moshier, M. A.; Pultr, A. Exact filters and joins of closed sublocales. (English) Zbl 1444.18018 Appl. Categ. Struct. 28, No. 4, 655-667 (2020). Reviewer: Jorge Picado (Coimbra) MSC: 18F70 06D22 PDF BibTeX XML Cite \textit{R. N. Ball} et al., Appl. Categ. Struct. 28, No. 4, 655--667 (2020; Zbl 1444.18018) Full Text: DOI OpenURL
Sánchez-Hernández, José Patricio On natural sets on an idiom. (English) Zbl 1481.06028 Commun. Algebra 48, No. 11, 5004-5025 (2020). MSC: 06B75 16D80 16S99 06D22 PDF BibTeX XML Cite \textit{J. P. Sánchez-Hernández}, Commun. Algebra 48, No. 11, 5004--5025 (2020; Zbl 1481.06028) Full Text: DOI OpenURL
Kwaśniewski, Bartosz Kosma; Meyer, Ralf Stone duality and quasi-orbit spaces for generalised \(C^\ast\)-inclusions. (English) Zbl 1461.46070 Proc. Lond. Math. Soc. (3) 121, No. 4, 788-827 (2020). MSC: 46L55 06D22 20M18 22A22 20G42 PDF BibTeX XML Cite \textit{B. K. Kwaśniewski} and \textit{R. Meyer}, Proc. Lond. Math. Soc. (3) 121, No. 4, 788--827 (2020; Zbl 1461.46070) Full Text: DOI arXiv OpenURL
Niefield, Susan Exponentiability in double categories and the glueing construction. (English) Zbl 1451.18040 Theory Appl. Categ. 35, 1208-1226 (2020). Reviewer: Willian Ribeiro (Coimbra) MSC: 18N10 18D15 18F10 18F70 54C35 PDF BibTeX XML Cite \textit{S. Niefield}, Theory Appl. Categ. 35, 1208--1226 (2020; Zbl 1451.18040) Full Text: Link OpenURL
Abedi, Mostafa Some notes on \(z\)-ideal and \(d\)-ideal in \(\mathcal{R}L\). (English) Zbl 1437.06012 Bull. Iran. Math. Soc. 46, No. 3, 593-611 (2020). MSC: 06D22 13A15 54G05 54G10 PDF BibTeX XML Cite \textit{M. Abedi}, Bull. Iran. Math. Soc. 46, No. 3, 593--611 (2020; Zbl 1437.06012) Full Text: DOI OpenURL
Abedi, Mostafa; Estaji, Ali Akbar Closed ideals in the uniform topology on the ring of real-valued continuous functions on a frame. (English) Zbl 1481.06029 Rend. Semin. Mat. Univ. Padova 143, 135-152 (2020). MSC: 06D22 54C40 54C50 16D25 13J20 PDF BibTeX XML Cite \textit{M. Abedi} and \textit{A. A. Estaji}, Rend. Semin. Mat. Univ. Padova 143, 135--152 (2020; Zbl 1481.06029) Full Text: DOI OpenURL
Gutiérrez García, Javier; Kubiak, Tomasz; Picado, Jorge Perfect locales and localic real functions. (English) Zbl 1453.06010 Algebra Univers. 81, No. 3, Paper No. 32, 18 p. (2020). MSC: 06D22 54D15 PDF BibTeX XML Cite \textit{J. Gutiérrez García} et al., Algebra Univers. 81, No. 3, Paper No. 32, 18 p. (2020; Zbl 1453.06010) Full Text: DOI Link OpenURL