J. Austral. Math. Soc.
73 (2002), 127-153
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Some classes of pseudo-BL algebras
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Laurentiu Leustean
National Institute for Research
and Development in Informatics
8--10 Averescu Avenue
71316 Bucharest
Romania
leo@u3.ici.ro
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Abstract
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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.
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