Publications

Subvarieties of BL-algebras generated by single-components chains

Publication Type:

Journal Article

Authors:

Antonio Di Nola; Francesc Esteva; Pere García; Lluís Godo; Salvatore Sessa

Source:

Archive for Mathematical Logic, Volume 41, p.673-685 (2002)

Abstract:

In this paper we study and equationally characterize the subvarieties of BL, the variety of BL-algebras, which are generated by families of single-component BL-chains, i.e. MV-chains, Product-chain or Gödel-chains. Moreover, it is proved that they form a segment of the lattice of subvarieties of BL which is bounded by the Boolean variety and the variety generated by all single-component chains, called LnG.

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