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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Subdirectly irreducible algebras in regular permutable varieties


Author: W. Taylor
Journal: Proc. Amer. Math. Soc. 75 (1979), 196-200
MSC: Primary 08B05
MathSciNet review: 532134
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Abstract: If A is a finite algebra in a regular, permutable variety (of finite type), then the variety generated by A either contains an infinite subdirectly irreducible algebra or contains only finitely many subdirectly irreducible algebras. We conjecture that the hypothesis ``regular and permutable'' cannot be fully removed.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0532134-4
PII: S 0002-9939(1979)0532134-4
Article copyright: © Copyright 1979 American Mathematical Society