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Critical algebras and the Frattini congruence, II

Published online by Cambridge University Press:  17 April 2009

Keith A. Kearnes
Keith A. Kearnes
Affiliation:
Department of Mathematical Sciences, University of Arkansas, Fayetteville AR 72701, United States of America
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We prove that any finite subdirectly irreducible algbra in a congruence modular variety with trivial Frattini congruence is critical. We also show that if A and B are critical algebras which generate the same congruence modular variety, then the variety generated by the proper sections of A equals the variety generated by the proper sections of B.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 53 , Issue 1 , February 1996 , pp. 91 - 100
Copyright
Copyright © Australian Mathematical Society 1996

References

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