Some Classes of Pseudo-bl Algebras

  title={Some Classes of Pseudo-bl Algebras},
  author={George Georgescu and Laurentiu Leustean},
Pseudo-BL algebras are noncommutative generalizations of BL-algebras and they include pseudo-MV algebras, a class of structures that are categorically equivalent to l -groups with strong unit. In this paper we characterize directly indecomposable pseudo-BL algebras and we define and study different classes of these structures: local, good, perfect, peculiar, and (strongly) bipartite pseudo-BL algebras. 2000Mathematics subject classification : primary 06F99, 08A72. 

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