(Co)module algebras and their generalizations
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2021
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917097154543616 |
|---|---|
| author | Gordienko, Alexey |
| author_facet | Gordienko, Alexey |
| contents | This manuscript is an extended version of the author's habilitation thesis defended on May 21, 2021 at M.V. Lomonosov Moscow State University. It is devoted to the study of (co)stability of radicals, existence of (co)invariant Levi and Wedderburn decompositions, structure of the corresponding simple algebras and codimension growth of polynomial identities in (co)module algebras over bi- and Hopf algebras and their generalizations. The main difference between this manuscript and the "official" thesis are additional chapters dealing with equivalences of gradings and Hopf algebra (co)actions, V-universal (co)acting bi- and Hopf algebras and related categorical questions. (In Russian.) |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_09810 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | (Co)module algebras and their generalizations Gordienko, Alexey Rings and Algebras Algebraic Geometry Category Theory K-Theory and Homology Quantum Algebra 16Wxx (Primary), 14L17, 16R10, 16R50, 16T05, 16T10, 16T15, 17A01, 17A36, 17Bxx, 18Axx, 18D20, 20C30, 20E26, 20F05 (Secondary) This manuscript is an extended version of the author's habilitation thesis defended on May 21, 2021 at M.V. Lomonosov Moscow State University. It is devoted to the study of (co)stability of radicals, existence of (co)invariant Levi and Wedderburn decompositions, structure of the corresponding simple algebras and codimension growth of polynomial identities in (co)module algebras over bi- and Hopf algebras and their generalizations. The main difference between this manuscript and the "official" thesis are additional chapters dealing with equivalences of gradings and Hopf algebra (co)actions, V-universal (co)acting bi- and Hopf algebras and related categorical questions. (In Russian.) |
| title | (Co)module algebras and their generalizations |
| topic | Rings and Algebras Algebraic Geometry Category Theory K-Theory and Homology Quantum Algebra 16Wxx (Primary), 14L17, 16R10, 16R50, 16T05, 16T10, 16T15, 17A01, 17A36, 17Bxx, 18Axx, 18D20, 20C30, 20E26, 20F05 (Secondary) |
| url | https://arxiv.org/abs/2111.09810 |