@article { IIIA-2002-473, title = {The variety generated by perfect BL-algebras: an algebraic approach in a fuzzy setting}, journal = {Annals of Mathematics and Artificial Intelligence}, volume = {35}, number = {1-4}, year = {2002}, pages = {197-214}, abstract = {BL-algebras are the Lindembaum algebras of the propositional calculus coming from the continuous triangular norms and their residua in the real unit interval. Any BL-algebra is a subdirect product of local (linear)BL-algebras. A local BL-algebra is either locally finite (and hence an MV-algebra) or perfect or peculiar. Here we study extensively perfect BL-algebras characterizing, with a finite scheme of equations, the generated variety. We first establish some results for general BL-algebras, afterwards the variety is studied in detail. All the results are parallel to those ones already existing in the theory of perfect MV-algebras, but these results must be reformulated and reproved in a different way, because the axioms of BL-algebras are obviously weaker than those for MV-algebras.}, author = {Antonio Di Nola and Salvatore Sessa and Francesc Esteva and Llu\'{\i}s Godo and Pere Garc\'{\i}a} }