Abstract
Let an arbitrary variety of algebras and the category of all free finitely generated algebras in that variety be given. This paper is the second in a series of papers started in [Algebra and Logic, 61, No. 1, 1-15 (2022)] where we deal with automorphisms of the category of free finitely generated algebras. Here we describe in detail a method of verbal operations. The method provides a characterization of automorphisms of the category of all free finitely generated algebras in a given variety. The characterization plays a crucial role in universal algebraic geometry. We supply the reader with illuminating examples which clarify the method.
| Original language | English |
|---|---|
| Pages (from-to) | 87-103 |
| Number of pages | 17 |
| Journal | Algebra and Logic |
| Volume | 61 |
| Issue number | 2 |
| DOIs | |
| State | Published - May 2022 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
Funding
E. V. Aladova is supported by the ISF grants 1623/16, 1994/20, and by Gelbart Institute for Mathematical Sciences, Department of Mathematics, Bar-Ilan University, Israel
| Funders | Funder number |
|---|---|
| Gelbart Institute for Mathematical Sciences | |
| Department of Mathematics, Bar-Ilan University | |
| Israel Science Foundation | 1623/16, 1994/20 |