| Full text | |
| Author(s): |
Marcos, Eduardo do Nascimento
;
Volkov, Yury
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Algebra; v. 599, p. 47-pg., 2022-02-28. |
| Abstract | |
In our preceding paper we have introduced the notion of an s-homogeneous triple. In this paper we use this technique to study connected s-homogeneous algebras with two relations. For such algebras, we describe all possible pairs (A, M), where A is the s-Veronese ring and M is the (s, 1)-Veronese bimodule of the s-homogeneous dual algebra. For each such a pair we classify all the corresponding algebras or give a necessary and sufficient conditions for the algebra under consideration correspond to a given pair. During this process, we have proved that an s-homogeneous algebra with two dimensional s-th component cannot be s-Koszul for s > 2 and discuss the Koszul property for s-homogeneous algebras with two relations.(c) 2022 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 18/07046-0 - S-homogeneous algebras |
| Grantee: | Eduardo do Nascimento Marcos |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |
| FAPESP's process: | 14/09310-5 - Algebraic structures and their representations |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Projects - Thematic Grants |