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01-01-2013 | Original Paper

Congruences generated by ideals of the compatibility center of lattice effect algebras

Author: Gejza Jenča

Published in: Soft Computing | Issue 1/2013

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Abstract

We prove that for every lattice effect algebra, the system of all congruences generated by the prime ideals of the compatibility center separates the elements. This is a common generalization of Chang’s representation theorem from 1959 and a result of Graves and Selesnick (Colloq Math 27:21–30, 1973).

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Bennett M, Foulis D (1995) Phi-symmetric effect algebras. Found Phys 25:1699–9722MathSciNetCrossRef

Chang C (1959) Algebraic analysis of many-valued logics. Trans Am Math Soc 88:467–490CrossRef

Chang C (1959) A new proof of the completeness of the łukasiewicz axioms. Trans Am Math Soc 93:74–80MATH

Chevalier G, SPulmannová (2000) Some ideal lattices in partial abelian monoids. Order 17:75–92MathSciNetMATHCrossRef

Chovanec F, Kôpka F (1997) Boolean D-posets. Tatra Mt Math Publ 10:183–197MathSciNetMATH

Dvurečenskij A, Pulmannová S (2000) New trends in quantum structures. Kluwer/Ister Science, Dordrecht/ Bratislava

Foulis D, Bennett M (1994) Effect algebras and unsharp quantum logics. Found Phys 24:1325–1346MathSciNetCrossRef

Giuntini R, Greuling H (1989) Toward a formal language for unsharp properties. Found Phys 19: 931–945MathSciNetCrossRef

Graves W, Selesnick S (1973) A generalization of Stone’s representation theorem for Boolean algebras. Colloq Math 27:21–30MathSciNetMATH

Gudder S, Pulmannová S (1998) Quotients of partial abelian monoids. Algebra Univers 38:395–421CrossRef

Jenča G (2000) Notes on R ₁-ideals in partial abelian monoids. Algebra Univers 43:307–319MATHCrossRef

Jenča G, Pulmannová S (2001) Ideals and quotients in lattice ordered effect algebras. Soft Comput 5:376–380MATHCrossRef

Kôpka F (1992) D-posets of fuzzy sets. Tatra Mt Math Publ 1:83–87MathSciNetMATH

Kôpka F, Chovanec F (1994) D-posets. Math Slovaca 44:21–34MathSciNetMATH

Riečanová Z (2000) A generalization of blocks for D-lattices and lattice effect algebras. Int J Theor Phys 39:231–237MATHCrossRef

Title: Congruences generated by ideals of the compatibility center of lattice effect algebras
Author: Gejza Jenča
Publication date: 01-01-2013
Publisher: Springer-Verlag
Published in: Soft Computing / Issue 1/2013
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-012-0901-x

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