A note to the definition of the ÃLΠ - algebras
نویسنده
چکیده
The ŁΠ-algebras are interesting algebraic structures. They were introduced by Esteva, Godo, and Montagna. These algebras are closely related to the MValgebras and Π-algebras. They have two sets of operations and reduct to one set is an MV-algebra and to the other one is a Π-algebra. Other important reducts of ŁΠ-algebras are so-called PÃ L-algebras (an MV-algebras enriched with product connective) and Π∼-algebras (Π-algebras with additional involutive negation). In this paper we present minimal sets of conditions which has to be added the defining conditions of those reducts in order to obtain ŁΠ-algebras.
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