Abstract
Let ⊝ be an arbitrary variety of algebras and let ⊝0 be the category of all free finitely generated algebras from ⊝. We study automorphisms of such categories for special ⊝. The cases of the varieties of all groups, all semigroups, all modules over a noetherian ring, all associative and commutative algebras over a field are completely investigated. The cases of associative and Lie algebras are also considered. This topic relates to algebraic geometry in arbitrary variety of algebras ⊝.
| Original language | English |
|---|---|
| Pages (from-to) | 1-10 |
| Number of pages | 10 |
| Journal | Electronic Research Announcements of the American Mathematical Society |
| Volume | 8 |
| Issue number | 1 |
| DOIs | |
| State | Published - 13 Mar 2002 |
Keywords
- Algebraic variety
- Automorphisms
- Category
- Free algebra
- Variety of algebras