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Some classes of pseudo-BL algebras

Part of: Ordered structures Algebraic structures

Published online by Cambridge University Press:  09 April 2009

George Georgescu  and
Laurenţiu Leuştean
George Georgescu
Affiliation:
Faculty of Mathematics, University of Bucharest, 14 Academiei Street, 70109 Bucharest, Romania e-mail: georgescu@funinf.math.unibuc.ro
Laurenţiu Leuştean
Affiliation:
National Institute for Research, and Development in Informatics8–10 Averescu Avenue, 71316 Bucharest, Romania e-mail: 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.

MSC classification

Secondary: 06F99: None of the above, but in this section 08A72: Fuzzy algebraic structures
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 73 , Issue 1 , August 2002 , pp. 127 - 154
Copyright
Copyright © Australian Mathematical Society 2002

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