EVERY SHIFT AUTOMORPHISM VARIETY HAS AN INFINITE SUBDIRECTLY IRREDUCIBLE MEMBER

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Every Shift Automorphism Variety Has an Infinite Subdirectly Irreducible Member

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. 2000 Mathematics subject classification: primary 03C05; secondary 08B05, 08B26.

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ژورنال

عنوان ژورنال: Journal of the Australian Mathematical Society

سال: 2009

ISSN: 1446-7887,1446-8107

DOI: 10.1017/s1446788709000317