Abstract
The goal of this paper is to describe the group of strongly stable automorphisms for categories of free finitely generated non-associative algebras with unit for classical varieties of non-associative algebras, in particular for the varieties of commutative, Jordan, alternative and power associative algebras. The motivation of this research is tightly connected with some problems in Universal Algebraic Geometry.
| Original language | English |
|---|---|
| Pages (from-to) | 3826-3842 |
| Number of pages | 17 |
| Journal | Communications in Algebra |
| Volume | 52 |
| Issue number | 9 |
| DOIs | |
| State | Published - 2024 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2024 Taylor & Francis Group, LLC.
Keywords
- Automorphisms of the category of free algebras
- method of verbal operations
- subvarieties of non-associative linear algebras with unit
- universal algebraic geometry
- variety of non-associative linear algebras with unit