Congruence lower semimodularity and 2-finiteness imply congruence modularity (Q2277501)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Congruence lower semimodularity and 2-finiteness imply congruence modularity |
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Congruence lower semimodularity and 2-finiteness imply congruence modularity (English)
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1991
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A variety is called congruence lower semimodular iff each algebra in the variety has a lower semimodular congruence lattice. The author proves: if V is a congruence lower semimodular variety and the two-generated free algebra in V is finite then V is congruence modular.
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congruence modularity
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lower semimodular congruence lattice
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congruence lower semimodular variety
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two-generated free algebra
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