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Your search keyword '"Subdirectly irreducible algebra"' showing total 2 results
Start Over Descriptor "Subdirectly irreducible algebra" Publication Type Magazines
2 results on '"Subdirectly irreducible algebra"'

1. The variety of modular basic algebras generated by MV-chains and horizontal sums of three-element chain basic algebras

Author

Chajda, Ivan and Halaš, Radomír

Subjects
*MODULES (Algebra), *MARKOV processes, *AXIOMS, *LATTICE theory, *QUANTUM logic, *MATHEMATICAL analysis
Abstract

Abstract: Basic algebras (or lattices with section antitone involutions) turned out to be appropriate structures when axiomatizing both many-valued and quantum logics, see e.g. . The aim of the present paper is to describe the variety of basic algebras generated by MV-chains and horizontal sums of three-element chain basic algebras. [Copyright &y& Elsevier]

Published
2012
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2. State morphism MV-algebras

Author

Dvurečenskij, Anatolij, Kowalski, Tomasz, and Montagna, Franco

Subjects
*MORPHISMS (Mathematics), *ALGEBRAIC varieties, *MATHEMATICAL continuum, *SET theory, *CATEGORIES (Mathematics), *ALGEBRAIC geometry
Abstract

Abstract: We present a complete characterization of subdirectly irreducible MV-algebras with internal states (SMV-algebras). This allows us to classify subdirectly irreducible state morphism MV-algebras (SMMV-algebras) and describe single generators of the variety of SMMV-algebras, and show that we have a continuum of varieties of SMMV-algebras. [Copyright &y& Elsevier]

Published
2011
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