Mikhail Vladimirovich Zaicev | Moscow State University - Rússia
Specht property and graded polynomial identities for some non-associative algebras
Representation Theory of Lie algebras of vector fields on smooth algebraic manifolds
| Full text | |
| Author(s): |
Schutzer, Waldeck
;
Yasumura, Felipe Yukihide
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Journal of Algebra; v. 666, p. 29-pg., 2024-12-11. |
| Abstract | |
Classifying isomorphism classes of group gradings on algebras presents a compelling challenge, particularly within the realms of non-simple and infinite-dimensional algebras, which have been relatively unexplored. This study focuses on a kind of algebra that is neither simple nor finite-dimensional, aiming to classify the group gradings on triangularizable algebras as defined by Mesyan in 2019. The topology of infinite- dimensional algebras, along with the role of idempotent elements, plays a crucial role in our findings, leading to new insights and a deeper understanding of their structure. (c) 2024 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. (AU) | |
| FAPESP's process: | 23/03922-8 - Super polynomial identities of simple superalgebras |
| Grantee: | Felipe Yukihide Yasumura |
| Support Opportunities: | Scholarships abroad - Research |
| FAPESP's process: | 18/23690-6 - Structures, representations, and applications of algebraic systems |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Projects - Thematic Grants |