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ArticleOriginal scientific text
Title
Bipartite pseudo MV-algebras
Authors 1
Affiliations
- Institute of Mathematics and Physics, University of Podlasie, 3 Maja 54, 08-110 Siedlce, Poland
Abstract
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.
Keywords
pseudo MV-algebra, (maximal) ideal, bipartite pseudo MV-algebra
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