General algebraic systems Varieties Concept
Finitely generated variety
Summary
A finitely generated variety is a variety generated by finitely many finite algebras, or equivalently by one finite algebra. It is the smallest variety that contains the given finite algebras. Every finitely generated variety is a locally finite variety, and such varieties are the main objects of the structure theory of finite algebras.
Further reading
About this page
| Tag | NVQJWDJG2T |
|---|---|
| URI | m2://NVQJWDJG2T |
| Kind | concept |
| Writing | W0 stub |
| MSC | 08B05, 08B26 |
| Specializes | Variety of algebras |
| Changed | 2 November 2026 |
Markdown · JSON · Edit on GitHub
What this page needs for W1
- an inventory row: the row of the inventory that the node accounts for (0 of 1)
- a source with a locator (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.