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. Retrieved from "http://www.mathfuzzlog.org/index.php/Subvarieties_of_BL-algebras_generated_by_single-components_chains"

SUBVARIETIES OF BL-ALGEBRAS GENERATED BY SINGLE-COMPONENT CHAINS

SESSA, SALVATORE;
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. Retrieved from "http://www.mathfuzzlog.org/index.php/Subvarieties_of_BL-algebras_generated_by_single-components_chains"
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11588/745
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