Lipparini, Paolo Between an \(n\)-ary and an \(n+1\)-ary near-unanimity term. (English) Zbl 07643800 Int. J. Algebra Comput. 32, No. 8, 1595-1614 (2022). Reviewer: Thodsaporn Kumduang (Nakhon Pathom) MSC: 08B10 08B05 06B75 06E75 PDF BibTeX XML Cite \textit{P. Lipparini}, Int. J. Algebra Comput. 32, No. 8, 1595--1614 (2022; Zbl 07643800) Full Text: DOI arXiv OpenURL
Leech, Jonathan My journey into noncommutative lattices and their theory. (English) Zbl 07111838 Art Discrete Appl. Math. 2, No. 2, Paper No. P2.01, 19 p. (2019). MSC: 06B75 06E75 PDF BibTeX XML Cite \textit{J. Leech}, Art Discrete Appl. Math. 2, No. 2, Paper No. P2.01, 19 p. (2019; Zbl 07111838) Full Text: DOI OpenURL
Wehrung, Friedrich Varieties of Boolean inverse semigroups. (English) Zbl 1414.20020 J. Algebra 511, 114-147 (2018). Reviewer: Leonid M. Martynov (Omsk) MSC: 20M18 20M07 08B10 08B15 06F05 08A30 08A55 08B05 08B20 20E22 20M14 PDF BibTeX XML Cite \textit{F. Wehrung}, J. Algebra 511, 114--147 (2018; Zbl 1414.20020) Full Text: DOI arXiv OpenURL
Givant, Steven Advanced topics in relation algebras. Relation algebras. Volume 2. (English) Zbl 1436.03001 Cham: Springer (ISBN 978-3-319-65944-2/hbk; 978-3-319-65945-9/ebook; 978-3-319-68580-9/set). xix, 605 p. (2017). Reviewer: Jānis Cīrulis (Riga) MSC: 03-01 03-02 03G15 06B23 06D10 06E25 08A05 08B15 08C99 PDF BibTeX XML Cite \textit{S. Givant}, Advanced topics in relation algebras. Relation algebras. Volume 2. Cham: Springer (2017; Zbl 1436.03001) Full Text: DOI OpenURL
Hathaway, Dan Weak distributivity implying distributivity. (English) Zbl 1387.03069 J. Symb. Log. 81, No. 2, 711-717 (2016). Reviewer: Martin Weese (Potsdam) MSC: 03G05 03E04 03E17 03E55 06E05 PDF BibTeX XML Cite \textit{D. Hathaway}, J. Symb. Log. 81, No. 2, 711--717 (2016; Zbl 1387.03069) Full Text: DOI arXiv OpenURL
Winter, Michael; Hahmann, Torsten; Grüninger, Michael On the algebra of regular sets. (English) Zbl 1268.54015 Ann. Math. Artif. Intell. 65, No. 1, 25-60 (2012). Reviewer: Esteban Induraín (Pamplona) MSC: 54H10 06B15 06E75 68T27 68T30 06B20 06E15 PDF BibTeX XML Cite \textit{M. Winter} et al., Ann. Math. Artif. Intell. 65, No. 1, 25--60 (2012; Zbl 1268.54015) Full Text: DOI OpenURL
Hernández-Hernández, Fernando Distributivity of quotients of countable products of Boolean algebras. (English) Zbl 1214.03032 Rend. Ist. Mat. Univ. Trieste 41, 27-33 (2009). Reviewer: James Monk (Boulder) MSC: 03E17 06E05 PDF BibTeX XML Cite \textit{F. Hernández-Hernández}, Rend. Ist. Mat. Univ. Trieste 41, 27--33 (2009; Zbl 1214.03032) OpenURL
Yang, Lingyun; Xu, Luoshan Algebraic aspects of generalized approximation spaces. (English) Zbl 1200.06004 Int. J. Approx. Reasoning 51, No. 1, 151-161 (2009). MSC: 06D10 06E10 68T37 PDF BibTeX XML Cite \textit{L. Yang} and \textit{L. Xu}, Int. J. Approx. Reasoning 51, No. 1, 151--161 (2009; Zbl 1200.06004) Full Text: DOI OpenURL
Martínez, J.; McGovern, W. Wm. Free meets and atomic assemblies of frames. (English) Zbl 1209.06005 Algebra Univers. 62, No. 2-3, 153-163 (2009). Reviewer: Jorge Picado (Coimbra) MSC: 06D22 06D10 06E05 PDF BibTeX XML Cite \textit{J. Martínez} and \textit{W. Wm. McGovern}, Algebra Univers. 62, No. 2--3, 153--163 (2009; Zbl 1209.06005) Full Text: DOI OpenURL
Dobrinen, Natasha \(\kappa \)-stationary subsets of \(\mathcal P_{\kappa ^{+}}\lambda \), infinitary games, and distributive laws in Boolean algebras. (English) Zbl 1142.03031 J. Symb. Log. 73, No. 1, 238-260 (2008). Reviewer: Martin Weese (Potsdam) MSC: 03E40 03E05 06E05 91A44 PDF BibTeX XML Cite \textit{N. Dobrinen}, J. Symb. Log. 73, No. 1, 238--260 (2008; Zbl 1142.03031) Full Text: DOI Euclid OpenURL
Brendle, Jörg Independence for distributivity numbers. (English) Zbl 1139.03037 Löwe, Benedikt (ed.), Algebra, logic, set theory. Festschrift für Ulrich Felgner zum 65. Geburtstag. London: King’s College Publications (ISBN 1-904987-28-1/hbk). Studies in Logic (London) 4, 63-84 (2007). Reviewer: Miroslav Repický (Košice) MSC: 03E35 03E17 06E05 PDF BibTeX XML Cite \textit{J. Brendle}, Stud. Log. (Lond.) 4, 63--84 (2007; Zbl 1139.03037) OpenURL
Balcar, Bohuslav; Jech, Thomas Weak distributivity, a problem of von Neumann and the mystery of measurability. (English) Zbl 1120.03028 Bull. Symb. Log. 12, No. 2, 241-266 (2006). Reviewer: James Monk (Boulder) MSC: 03E35 28A60 06E05 PDF BibTeX XML Cite \textit{B. Balcar} and \textit{T. Jech}, Bull. Symb. Log. 12, No. 2, 241--266 (2006; Zbl 1120.03028) Full Text: DOI Link OpenURL
Hernández-Hernández, Fernando A tree \(\pi \)-base for \(\mathbb R^{\ast }\) without cofinal branches. (English) Zbl 1121.54057 Commentat. Math. Univ. Carol. 46, No. 4, 721-734 (2005). MSC: 54G05 54A35 03E17 PDF BibTeX XML Cite \textit{F. Hernández-Hernández}, Commentat. Math. Univ. Carol. 46, No. 4, 721--734 (2005; Zbl 1121.54057) Full Text: EuDML EMIS OpenURL
Balcar, Bohuslav; Hrušák, Michael Distributivity of the algebra of regular open subsets of \(\beta\mathbb R\setminus \mathbb R\). (English) Zbl 1071.54018 Topology Appl. 149, No. 1-3, 1-7 (2005). Reviewer: Miroslav Repický (Košice) MSC: 54G05 06E15 03E17 PDF BibTeX XML Cite \textit{B. Balcar} and \textit{M. Hrušák}, Topology Appl. 149, No. 1--3, 1--7 (2005; Zbl 1071.54018) Full Text: DOI OpenURL
Balcar, B.; Hernández-Hernández, F.; Hrušák, M. Combinatorics of dense subsets of the rationals. (English) Zbl 1051.03038 Fundam. Math. 183, No. 1, 59-80 (2004). MSC: 03E17 03E35 06E15 PDF BibTeX XML Cite \textit{B. Balcar} et al., Fundam. Math. 183, No. 1, 59--80 (2004; Zbl 1051.03038) Full Text: DOI OpenURL
Dobrinen, Natasha Games and general distributive laws in Boolean algebras. (English) Zbl 1004.03040 Proc. Am. Math. Soc. 131, No. 1, 309-318 (2003); errata ibid. 131, No. 9, 2967-2968 (2003). MSC: 03E40 06E05 91A44 PDF BibTeX XML Cite \textit{N. Dobrinen}, Proc. Am. Math. Soc. 131, No. 1, 309--318 (2003; Zbl 1004.03040) Full Text: DOI OpenURL
Kanai, Yasuo On the deductive strength of various distributivity axioms for Boolean algebras in set theory. (English) Zbl 0997.03041 Math. Log. Q. 48, No. 3, 413-426 (2002). MSC: 03E25 03E65 03E50 06E05 PDF BibTeX XML Cite \textit{Y. Kanai}, Math. Log. Q. 48, No. 3, 413--426 (2002; Zbl 0997.03041) Full Text: DOI OpenURL
Balcar, Bohuslav; Simon, Petr The name for Kojman-Shelah collapsing function. (English) Zbl 0989.03051 Ann. Pure Appl. Logic 109, No. 1-2, 131-137 (2001). Reviewer: Jörg D.Brendle (Kobe) MSC: 03E40 06E10 PDF BibTeX XML Cite \textit{B. Balcar} and \textit{P. Simon}, Ann. Pure Appl. Logic 109, No. 1--2, 131--137 (2001; Zbl 0989.03051) Full Text: DOI OpenURL
Kojman, Menachem; Shelah, Saharon Fallen cardinals. (English) Zbl 0989.03050 Ann. Pure Appl. Logic 109, No. 1-2, 117-129 (2001). Reviewer: Jörg D.Brendle (Kobe) MSC: 03E40 03E04 06E10 PDF BibTeX XML Cite \textit{M. Kojman} and \textit{S. Shelah}, Ann. Pure Appl. Logic 109, No. 1--2, 117--129 (2001; Zbl 0989.03050) Full Text: DOI arXiv OpenURL
Chajda, Ivan; Länger, Helmut Ring-like operations in pseudocomplemented semilattices. (English) Zbl 0968.06004 Discuss. Math., Gen. Algebra Appl. 20, No. 1, 87-95 (2000). Reviewer: Renata Majovská (Horní Suchá) MSC: 06A12 08C10 06E20 16Y99 PDF BibTeX XML Cite \textit{I. Chajda} and \textit{H. Länger}, Discuss. Math., Gen. Algebra Appl. 20, No. 1, 87--95 (2000; Zbl 0968.06004) Full Text: DOI EuDML OpenURL
Shelah, Saharon; Spinas, Otmar The distributivity numbers of \(\mathcal{P}(\omega)\)/fin and its square. (English) Zbl 0943.03036 Trans. Am. Math. Soc. 352, No. 5, 2023-2047 (2000). Reviewer: James Monk (Boulder) MSC: 03E05 06E05 PDF BibTeX XML Cite \textit{S. Shelah} and \textit{O. Spinas}, Trans. Am. Math. Soc. 352, No. 5, 2023--2047 (2000; Zbl 0943.03036) Full Text: DOI arXiv OpenURL
Jipsen, Peter; Rose, Henry Partition complete Boolean algebras and almost compact cardinals. (English) Zbl 0926.03066 Math. Log. Q. 45, No. 2, 241-255 (1999). Reviewer: James Monk (Boulder) MSC: 03E55 06E10 03E20 PDF BibTeX XML Cite \textit{P. Jipsen} and \textit{H. Rose}, Math. Log. Q. 45, No. 2, 241--255 (1999; Zbl 0926.03066) Full Text: DOI OpenURL
Länger, Helmut Generalizations of the correspondence between Boolean algebras and Boolean rings to orthomodular lattices. (English) Zbl 0939.03075 Tatra Mt. Math. Publ. 15, 97-105 (1998). Reviewer: Dietmar Dorninger (Wien) MSC: 03G12 06C15 06E20 08B99 PDF BibTeX XML Cite \textit{H. Länger}, Tatra Mt. Math. Publ. 15, 97--105 (1998; Zbl 0939.03075) OpenURL
Pixley, Alden F. Boolean universal algebra. (English) Zbl 0859.08005 Ursini, Aldo (ed.) et al., Logic and algebra. Proceedings of the international conference dedicated to the memory of Roberto Magari, April 26–30, 1994, Pontignano, Italy. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 180, 245-266 (1996). Reviewer: M.V.Volkov (Ekaterinburg) MSC: 08B99 08A40 08B10 PDF BibTeX XML Cite \textit{A. F. Pixley}, Lect. Notes Pure Appl. Math. 180, 245--266 (1996; Zbl 0859.08005) OpenURL
Movsisyan, Yu. M. Algebras with hyperidentities of the variety of Boolean algebras. (English. Russian original) Zbl 0885.08002 Izv. Math. 60, No. 6, 1219-1260 (1996); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 60, No. 6, 127-168 (1996). Reviewer: Georges Hansoul (Liège) MSC: 08B10 06E05 06B20 PDF BibTeX XML Cite \textit{Yu. M. Movsisyan}, Izv. Math. 60, No. 6, 1219--1260 (1996; Zbl 0885.08002); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 60, No. 6, 127--168 (1996) Full Text: DOI OpenURL
Zapletal, Jindřich More on the cut and choose game. (English) Zbl 0849.03043 Ann. Pure Appl. Logic 76, No. 3, 291-301 (1995). MSC: 03E40 91A44 03E35 03E55 PDF BibTeX XML Cite \textit{J. Zapletal}, Ann. Pure Appl. Logic 76, No. 3, 291--301 (1995; Zbl 0849.03043) Full Text: DOI arXiv OpenURL
Kamburelis, Anastasis On the weak distributivity game. (English) Zbl 0798.03054 Ann. Pure Appl. Logic 66, No. 1, 19-26 (1994). Reviewer: J.Monk (Boulder) MSC: 03E40 06E10 91A44 91A05 PDF BibTeX XML Cite \textit{A. Kamburelis}, Ann. Pure Appl. Logic 66, No. 1, 19--26 (1994; Zbl 0798.03054) Full Text: DOI OpenURL
Pinus, A. G. Cartesian skeletons of congruence-distributive varieties. (English. Russian original) Zbl 0719.08005 Sov. Math. 34, No. 6, 57-60 (1990); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1990, No. 6(337), 47-51 (1990). MSC: 08B10 06E99 PDF BibTeX XML Cite \textit{A. G. Pinus}, Sov. Math. 34, No. 6, 57--60 (1990; Zbl 0719.08005); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1990, No. 6(337), 47--51 (1990) OpenURL
Pinus, A. G. On Cartesian skeletons of congruence-distributive varieties. (Russian) Zbl 0714.08004 Izv. Vyssh. Uchebn. Zaved., Mat. 1990, No. 6(337), 47-51 (1990). Reviewer: J.Adamek MSC: 08B10 06E99 PDF BibTeX XML Cite \textit{A. G. Pinus}, Izv. Vyssh. Uchebn. Zaved., Mat. 1990, No. 6(337), 47--51 (1990; Zbl 0714.08004) OpenURL
Reschke, Marlies; Denecke, Klaus Ein neuer Beweis für die Ergebnisse von E. L. Post über abgeschlossene Klassen Boolescher Funktionen. (A new proof of E. L. Post’s results on closed classes of Boolean functions). (German) Zbl 0678.06007 J. Inf. Process. Cybern. 25, No. 7, 361-380 (1989). Reviewer: S.Rudeanu MSC: 06E30 08B10 08A40 94C10 PDF BibTeX XML Cite \textit{M. Reschke} and \textit{K. Denecke}, J. Inf. Process. Cybern. 25, No. 7, 361--380 (1989; Zbl 0678.06007) OpenURL
Lambrou, M. S. Strong density of finite rank operators in subalgebras of B(X). (English) Zbl 0688.47003 Functional analysis and optimization, Workshop/Miniconf., Canberra/Australia 1988, Proc. Cent. Math. Anal. Aust. Natl. Univ. 20, 83-99 (1988). Reviewer: A.-A.Jafarian MSC: 47A15 47L30 46B15 PDF BibTeX XML OpenURL
Balcar, Bohuslav; Simon, Petr On collections of almost disjoint families. (English) Zbl 0675.03029 Commentat. Math. Univ. Carol. 29, No. 4, 631-646 (1988). Reviewer: Mo Shaokui MSC: 03E05 03E45 06E05 PDF BibTeX XML Cite \textit{B. Balcar} and \textit{P. Simon}, Commentat. Math. Univ. Carol. 29, No. 4, 631--646 (1988; Zbl 0675.03029) Full Text: EuDML OpenURL
Sankappanavar, H. P. Congruence-distributivity and join-irreducible congruences on a semilattice. (English) Zbl 0572.06003 Math. Jap. 30, 495-502 (1985). Reviewer: I.Chajda MSC: 06A12 08B10 06B10 06C10 06D05 06E05 PDF BibTeX XML Cite \textit{H. P. Sankappanavar}, Math. Japon. 30, 495--502 (1985; Zbl 0572.06003) OpenURL
Fried, E.; Grätzer, G. Classes of congruence lattices of filtral varieties. (English) Zbl 0614.08007 Stud. Sci. Math. Hung. 19, 259-264 (1984). Reviewer: R.Franci MSC: 08B10 08A30 06B10 PDF BibTeX XML Cite \textit{E. Fried} and \textit{G. Grätzer}, Stud. Sci. Math. Hung. 19, 259--264 (1984; Zbl 0614.08007) OpenURL
Csákány, Béla Selective algebras and compatible varieties. (English) Zbl 0612.08005 Stud. Sci. Math. Hung. 19, 431-436 (1984). Reviewer: J.R.Isbell MSC: 08B05 08B10 08B20 PDF BibTeX XML Cite \textit{B. Csákány}, Stud. Sci. Math. Hung. 19, 431--436 (1984; Zbl 0612.08005) OpenURL
Weese, Martin; Goltz, Hans-Joachim Boolean algebras. (English) Zbl 0555.06011 Seminarber., Humboldt-Univ. Berlin, Sekt. Math. 62, 168 p. (1984). Reviewer: S.Rudeanu MSC: 06Exx 06-01 03-01 08B25 03C60 03B25 03C05 03C80 06B10 08B10 PDF BibTeX XML Cite \textit{M. Weese} and \textit{H.-J. Goltz}, Seminarber., Humboldt-Univ. Berlin, Sekt. Math. 62, 168 p. (1984; Zbl 0555.06011) OpenURL
Lee, Sin-Min A construction of simple non-associative Boolean rings. (English) Zbl 0545.08013 Bull. Malays. Math. Soc., II. Ser. 7, 35-37 (1984). Reviewer: Sh.Oates-Williams MSC: 08B10 06E20 17A60 PDF BibTeX XML Cite \textit{S.-M. Lee}, Bull. Malays. Math. Soc., II. Ser. 7, 35--37 (1984; Zbl 0545.08013) OpenURL
Kiss, Emil W. Finitely Boolean representable varieties. (English) Zbl 0558.08006 Proc. Am. Math. Soc. 89, 579-582 (1983). Reviewer: A.A.Iskander MSC: 08B10 08B15 03C05 03B25 PDF BibTeX XML Cite \textit{E. W. Kiss}, Proc. Am. Math. Soc. 89, 579--582 (1983; Zbl 0558.08006) Full Text: DOI OpenURL
Burris, Stanley; McKenzie, Ralph Decidability and Boolean representations. I. Decidable varieties with modular congruence lattices. II. Boolean representable varieties. (English) Zbl 0483.03019 Mem. Am. Math. Soc. 246, 106 p. (1981). MSC: 03C05 03B25 08B10 08B25 03C20 PDF BibTeX XML Cite \textit{S. Burris} and \textit{R. McKenzie}, Decidability and Boolean representations. I. Decidable varieties with modular congruence lattices. II. Boolean representable varieties. Providence, RI: American Mathematical Society (AMS) (1981; Zbl 0483.03019) Full Text: DOI OpenURL
Burris, Stanley; Sankappanavar, H. P. A course in universal algebra. (English) Zbl 0478.08001 Graduate Texts in Mathematics, Vol. 78. New York - Heidelberg Berlin: Springer-Verlag. XVI, 276 p. DM 72.00; $ 33.60 (1981). MSC: 08-02 06Exx 08Bxx 08A05 08A35 08B05 08B10 08B20 08B25 08C10 06B10 06B23 06E15 PDF BibTeX XML OpenURL
Volger, Hugo Sheaf representations of algebras and transfer theorems for model theoretic properties. (English) Zbl 0429.03015 Algebraische Modelle, Kategorien und Gruppoide; Stud. Algebra Anwend., Bd. 7, 155-163 (1979). MSC: 03C90 03C60 08B10 PDF BibTeX XML OpenURL
Lambrou, M. S. Erratum to “Semisimple completely distributive lattices are Boolean algebras”. (English) Zbl 0405.06002 Proc. Am. Math. Soc. 73, 405 (1979). MSC: 06B23 06B10 06E05 06D10 PDF BibTeX XML Cite \textit{M. S. Lambrou}, Proc. Am. Math. Soc. 73, 405 (1979; Zbl 0405.06002) Full Text: DOI Link OpenURL
Davey, Brian A.; Werner, Heinrich Injectivity and Boolean powers. (English) Zbl 0402.08010 Math. Z. 166, 205-223 (1979). MSC: 08B30 08B10 PDF BibTeX XML Cite \textit{B. A. Davey} and \textit{H. Werner}, Math. Z. 166, 205--223 (1979; Zbl 0402.08010) Full Text: DOI EuDML OpenURL
Bankston, Paul Topological reduced products via good ultrafilters. (English) Zbl 0398.54003 General Topology Appl. 10, 121-137 (1979). MSC: 54A25 54E52 03C20 54A35 PDF BibTeX XML Cite \textit{P. Bankston}, General Topology Appl. 10, 121--137 (1979; Zbl 0398.54003) Full Text: DOI OpenURL
Jech, Thomas A game theoretic property of Boolean algebras. (English) Zbl 0466.90100 Logic colloquium ’77, Proc., Wroclaw 1977, Stud. Logic Found. Math. Vol. 96, 135-144 (1978). MSC: 91A24 91A05 03G05 06E99 PDF BibTeX XML OpenURL
Lambrou, M. S. Semisimple completely distributive lattices are Boolean algebras. (English) Zbl 0384.06008 Proc. Am. Math. Soc. 68, 217-219 (1978). MSC: 06B23 06D10 06E20 03G05 PDF BibTeX XML Cite \textit{M. S. Lambrou}, Proc. Am. Math. Soc. 68, 217--219 (1978; Zbl 0384.06008) Full Text: DOI OpenURL