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Critical algebras and the Frattini congruence, II
Published online by Cambridge University Press: 17 April 2009
Extract
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