| Full text | |
| Author(s): |
Cibils, Claude
;
Lanzilotta, Marcelo
;
Marcos, Eduardo N.
;
Solotar, Andrea
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Journal of Algebra; v. 598, p. 20-pg., 2022-05-15. |
| Abstract | |
Let B subset of A be a left or right bounded extension of finite dimensional algebras. We use the Jacobi-Zariski long nearly exact sequence to show that B satisfies Han's conjecture if and only if A does, regardless if the extension splits or not. We provide conditions ensuring that an extension by arrows and relations is left or right bounded. Finally we give a structure result for extensions of an algebra given by a quiver and admissible relations, and examples of non split left or right bounded extensions.(c) 2022 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 14/09310-5 - Algebraic structures and their representations |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Projects - Thematic Grants |