Finite basis problem for varieties of algebraic systems
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914342137495552 |
|---|---|
| author | Drensky, Vesselin |
| author_facet | Drensky, Vesselin |
| contents | This is a survey on the finite basis problem for varieties of algebraic systems. Our exposition is in two directions:
(i) We give numerous examples of varieties which are not finitely based.
(ii) We give examples of important varieties with the property that they and their subvarieties are finitely based.
A special attention is paid on the varieties of semigroups, groups, associative, Lie and other nonassociative algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18805 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Finite basis problem for varieties of algebraic systems Drensky, Vesselin Rings and Algebras Group Theory 08B20, 16R10, 16R40, 16S10, 17A01, 17A30, 17A50, 17B01, 20E10, 20M07 This is a survey on the finite basis problem for varieties of algebraic systems. Our exposition is in two directions: (i) We give numerous examples of varieties which are not finitely based. (ii) We give examples of important varieties with the property that they and their subvarieties are finitely based. A special attention is paid on the varieties of semigroups, groups, associative, Lie and other nonassociative algebras. |
| title | Finite basis problem for varieties of algebraic systems |
| topic | Rings and Algebras Group Theory 08B20, 16R10, 16R40, 16S10, 17A01, 17A30, 17A50, 17B01, 20E10, 20M07 |
| url | https://arxiv.org/abs/2602.18805 |