Varieties of Pseudo-Interior Algebras

Author: Klunder B.

Source: Studia Logica, Volume 65, Number 1, June 2000 , pp. 113-136(24)

Publisher: Springer

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Abstract:

The notion of a pseudo-interior algebra was introduced by Blok and Pigozzi in [BPIV]. We continue here our studies begun in [BK]. As a consequence of the representation theorem for pseudo-interior algebras given in [BK] we prove that the variety of all pseudo-interior algebras is generated by its finite members. This result together with Jónsson's Theorem for congruence distributive varieties provides a useful technique in the study of the lattice of varieties of pseudo-interior algebras.

Keywords: Pseudo-interior algebra; interior algebra; Brouwerian semilattice; splitting algebra; locally finite; finite and prefinite variety

Language: English

Document Type: Regular paper

Affiliations: 1: Faculty of Mathematics and Computer Science Nicolas Copernicus University Toru nacute , Poland klunder@mat.uni.torun.pl, Poland klunder@mat.uni.torun.pl">