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EVERY SHIFT AUTOMORPHISM VARIETY HAS AN INFINITE SUBDIRECTLY IRREDUCIBLE MEMBER

Part of: Model theory Varieties

Published online by Cambridge University Press:  19 January 2010

KATE S. OWENS
KATE S. OWENS*
Affiliation:
Department of Mathematics, University of South Carolina, 1523 Greene Street, Columbia, SC 29208, USA (email: scottkh@mailbox.sc.edu)
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Abstract

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A shift automorphism algebra is one satisfying the conditions of the shift automorphism theorem, and a shift automorphism variety is a variety generated by a shift automorphism algebra. In this paper, we show that every shift automorphism variety contains a countably infinite subdirectly irreducible algebra.

Keywords

shift automorphism algebrashift automorphism varietyinfinite subdirectly irreducible algebras

MSC classification

Secondary: 03C05: Equational classes, universal algebra 08B26: Subdirect products and subdirect irreducibility
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 88 , Issue 2 , April 2010 , pp. 231 - 238
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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