Amalgamation in Varieties of Pseudo-interior Algebras

Studia Logica 73 (3):431-443 (2003)
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Abstract

The notion of a pseudo-interior algebra was introduced by Blok and Pigozzi in [3]. We continue here our studies begun in [6]. As a consequence of the representation theorem for pseudo-interior algebras given in [6] we prove that the variety of all pseudo-interior algebras has the amalgamation property. Using algebraic methods of Bergman [1] we find infinitely many varieties of pseudo-interior algebras with this property.

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