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Grzegorz Dymek (2006)
Discussiones Mathematicae - General Algebra and Applications
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A bipartite pseudo MV-algebra A is a pseudo MV-algebra such that A = M ∪ M ̃ for some proper ideal M of A. This class of pseudo MV-algebras, denoted BP, is investigated. The class of pseudo MV-algebras A such that A = M ∪ M ̃ for all maximal ideals M of A, denoted BP₀, is also studied and characterized.
Ivan Chajda, Miroslav Kolařík (2009)
Discussiones Mathematicae - General Algebra and Applications
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Pseudo MV-algebras (see e.g., [4, 6, 8]) are non-commutative extension of MV-algebras. We show that every pseudo MV-algebra is isomorphic to the algebra of action functions where the binary operation is function composition, zero is x ∧ y and unit is x. Then we define the so-called difference functions in pseudo MV-algebras and show how a pseudo MV-algebra can be reconstructed by them.
Jakubík, Ján (2001)
Archivum Mathematicum
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Ján Jakubík (2006)
Mathematica Slovaca
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Ján Jakubík (2002)
Mathematica Slovaca
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Ján Jakubík (2001)
Archivum Mathematicum
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In this paper we deal with the relations between the direct product decompositions of a pseudo -algebra and the direct product decomposicitons of its underlying lattice.
Ján Jakubík (2001)
Archivum Mathematicum
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In this paper we deal with the relations between the direct product decompositions of a pseudo -algebra and the direct product decomposicitons of its underlying lattice.
Grzegorz Dymek (2008)
Discussiones Mathematicae - General Algebra and Applications
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The notions of Noetherian pseudo MV-algebras and Artinian pseudo MV-algebras are introduced and their characterizations are established. Characterizations of them via fuzzy ideals are also given.