On Ockham algebras whose endomorphism semigroups are regular

T. S. Blyth; H. J. Silva

doi:10.1080/00927879608825611

On Ockham algebras whose endomorphism semigroups are regular

T. S. Blyth, H. J. Silva

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

If an Ockham algebra L belongs to a Berman class and its endomorphism semigroup End L is regular then necessarily L ∈ K_p,2 for some p. For a given L ∈ K_p,2 the question of precisely when End L is regular is solved in the case where L is subdirectly irreducible. Using a particular construction, we show that every Berman class K_p,2 contains an algebra L for which End L is an inverse semigroup.

Original language	English
Pages (from-to)	919-928
Number of pages	10
Journal	Communications in Algebra
Volume	24
Issue number	3
DOIs	https://doi.org/10.1080/00927879608825611
Publication status	Published - 1 Jan 1996

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On Ockham algebras whose endomorphism semigroups are regular

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