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Title: GMV-algebras and meet-semilattices with sectionally antitone permutations (English)
Author: Chajda, Ivan
Author: Kühr, Jan
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 56
Issue: 3
Year: 2006
Pages: 275-288
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Category: math
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MSC: 03G25
MSC: 06A12
MSC: 06D35
idZBL: Zbl 1141.06002
idMR: MR2250079
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Date available: 2009-09-25T14:32:05Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/130866
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Reference: [1] CHAJDA I.-EIGENTHALER G.-LANGER H.: Congruence Classes in Universal Algebra.Heldermann Verlag, Lemgo, 2003. Zbl 1014.08001, MR 1985832
Reference: [2] CHAJDA I.: Lattices and semilattices having an antitone involution in every upper interval.Comment. Math. Univ. Carolin. 44 (2003), 577-585. Zbl 1101.06003, MR 2062874
Reference: [3] CHAJDA I.-HALAŠ R.-KÜHR J.: Distributive lattices with sectionally antitone involutions.Acta Sci. Math. (Szeged) 71 (2005), 19-33. Zbl 1099.06006, MR 2160352
Reference: [4] CIGNOLI R. L. O.-D'OTTAVIANO I. M. L.-MUNDICI D.: Algebraic Foundations of Many-Valued Reasoning.Kluwer Acad. Publ., Dordrecht-Boston-London, 2000. Zbl 0937.06009, MR 1786097
Reference: [5] DVUREČENSKIJ A.: Pseudo MV-algebras are intervals in t-groups.J. Aust. Math. Soc. 72 (2002), 427-445. MR 1902211
Reference: [6] DVUREČENSKIJ A.: On pseudo MV-algebras.Soft Comput. 5 (2001), 347-354. Zbl 1081.06010
Reference: [7] GEORGESCU G.-IORGULESCU A.: Pseudo MV-algebras.Mult.-Valued Log. 6 (2001), 95-135. Zbl 1014.06008, MR 1817439
Reference: [8] MUNDICI D.: Interpretation of AF C* -algebras in Lukasiewicz sentential calculus.J. Funct. Anal. 65 (1986), 15-63. MR 0819173
Reference: [9] RACHŮNEK J.: A non-commutative generalization of MV-algebras.Czechoslovak Math. J. 52 (2002), 255-273. Zbl 1012.06012, MR 1905434
Reference: [10] RACHŮNEK J.: Prime spectra of non-commutative generalizations of MV-algebras.Algebra Universalis 48 (2002), 151-169. Zbl 1058.06015, MR 1929902
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