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JOURNAL OF PURE AND APPLIED ALGEBRA
Volume 181, Issue 2-3, Pages 105-129Publisher
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DOI: 10.1016/S0022-4049(02)00329-8
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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 representation of linearly ordered BL-algebras as ordinal sums of linearly ordered Wajsberg hoops; 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. (C) 2003 Elsevier Science B.V. All rights reserved.
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