Almost all minimal idempotent varieties are congruence modular (Q1866828)
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scientific article; zbMATH DE number 1899949
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost all minimal idempotent varieties are congruence modular |
scientific article; zbMATH DE number 1899949 |
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Almost all minimal idempotent varieties are congruence modular (English)
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23 April 2003
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It is shown that the only minimal idempotent varieties that are not congruence modular are the variety of sets and the variety of semilattices. Applying the machinery of Commutator Theory, we get that a minimal idempotent variety that is not congruence distributive is term-equivalent to the variety of sets, the variety of semilattices, or a variety of affine modules over a simple ring.
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congruence modularity
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idempotent variety
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minimal variety
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