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Title: On interval subalgebras of generalized MV-algebras (English)
Author: Jakubík, Ján
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 56
Issue: 4
Year: 2006
Pages: 387-395
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Category: math
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MSC: 06D35
idZBL: Zbl 1141.06006
idMR: MR2267760
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Date available: 2009-09-25T14:33:21Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/131194
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Reference: [1] CHAJDA I.-HALAŠ R.-KÜHR J.: Implication in MV-algebras.Algebra Universalis 52 (2004), 377-382. Zbl 1097.06011, MR 2120523
Reference: [2] 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: [3] CHAJDA I.-KÜHR J.: A note on interval MV-algebras.Math. Slovaca 56 (2006), 47-52. Zbl 1164.06010, MR 2217579
Reference: [4] CHAJDA I.-KÜHR J.: GMV-algebras and meet-semilattices with sectionally antitone permutations.Math. Slovaca 56 (2006), 275 288. Zbl 1141.06002, MR 2250079
Reference: [5] CIGNOLI R.-D'OTTAVIANO M. L.-MUNDICI D.: Algebraic Foundations of Many-Valued Reasoning.Kluwer Academic Publishers, Dordrecht, 2000. Zbl 0937.06009, MR 1786097
Reference: [6] DVUREČENSKIJ A.: Pseudo $MV$-algebras are intervals in $\ell$-groups.J. Aust. Мath. Soc. 72 (2002), 427-445. Zbl 1027.06014, MR 1902211
Reference: [7] GEORGESCU G.-IORGULESCU A.: Pseudo MV-algebras: a noncommutative extension of MV-algebras.In: The Proceedings of the Fourth International Symposium on Economic Informatics, INFOREC Printing House, Bucharest, 1999, pp. 961-968. Zbl 0985.06007, MR 1730100
Reference: [8] GEORGESCU G.-IORGULESCU A.: Pseudo MV-algebras.Mult.-Valued Log. (Special issue dedicated to Gr. C Moisil) 6 (2001), 95-135. Zbl 1014.06008, MR 1817439
Reference: [9] JAKUBÍK J.: Direct product decompositions of pseudo MV-algebras.Arch. Math. (Brno) 37 (2001), 131-142. Zbl 1070.06003, MR 1838410
Reference: [10] JAKUBÍK J.: On intervals and the dual of a pseudo MV-algebra.Math. Slovaca 56 (2006), 213-221. Zbl 1150.06013, MR 2229342
Reference: [11] RACHŮNEK J.: A non-commutative generalization of MV-algebras.Czechoslovak Math. J. 52 (2002), 255-273. Zbl 1012.06012, MR 1905434
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