The aim of this paper is to lay down some facts and techniques that are useful in order to describe the lattice of subvarieties of BL-algebras. The results include: a description of subalgebras and homomorphic images of totally ordered BL-algebras in terms of ordinal sums; a characterization of generic BL-algebras, i.e. the totally ordered BL-algebras that generate the whole variety; a full description of the subdirectly irreducible members of the variety generated by ordinal sums of finitely many Wajsberg hoops.
|Titolo:||Varieties of BL- algebras I: General properties.|
|Rivista:||JOURNAL OF PURE AND APPLIED ALGEBRA|
|Citazione:||Agliano', P., & Montagna, F. (2003). Varieties of BL- algebras I: General properties. JOURNAL OF PURE AND APPLIED ALGEBRA, 181(2-3), 105-129.|
|Appare nelle tipologie:||1.1 Articolo in rivista|
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