Direct product decompositions of pseudo MV-algebras.
Jakubík, Ján (2001)
Archivum Mathematicum
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Jakubík, Ján (2001)
Archivum Mathematicum
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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.
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.
Ján Jakubík (2002)
Mathematica Slovaca
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Dana Piciu (2004)
Open Mathematics
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The aim of this paper is to define the notions of pseudo-MV algebra of fractions and maximal pseudo-MV algebra of quotients for a pseudo-MV algebra (taking as a guide-line the elegant construction of complete ring of quotients by partial morphisms introduced by G. Findlay and J. Lambek-see [14], p.36). For some informal explanations of the notion of fraction see [14], p. 37. In the last part of this paper the existence of the maximal pseudo-MV algebra of quotients for a pseudo-MV algebra...
Ján Jakubík (2006)
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
Similarity:
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.