Applied Mathematics & Information Sciences

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A BCL+ algebras can be considered as a fragment of propositional logic containing only a logical connective implication a binary operation → and 1 which is interpreted as the value true. This paper offers a new abstract structure, which is called the pseudoassociation BCL+ algebras (simply pa-BCL+ algebras). Because of its origin in BCL+ algebras, we increase the pseudo-association law and ordered structure, but the connection is not a simple derivation, it involved groups, abelian and semigroups. We will give some concepts and characterizations in the pa-BCL+ algebras. As a result, the pa-BCL+ algebras have more complex algebraic structures.

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