Varieties of BL-algebras I: general properties
详细信息 查看全文
文摘
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.