General algebraic systems Varieties Concept
Locally finite variety
Summary
A locally finite variety is a variety of algebras in which every finitely generated member is finite. Equivalently, its free algebras on finitely many generators are finite. Many structural results on finite algebras, such as those of tame congruence theory, are stated for locally finite varieties.
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About this page
| Tag | 8QPW65PZVW |
|---|---|
| URI | m2://8QPW65PZVW |
| Kind | concept |
| Writing | W0 stub |
| MSC | 08B05, 08B20 |
| Specializes | Variety of algebras |
| Same as | |
| Changed | 2 November 2026 |
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