Group gradings on triangularizable algebras
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866911934180229120 |
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| author | Schützer, Waldeck Yasumura, Felipe Yukihide |
| author_facet | Schützer, Waldeck Yasumura, Felipe Yukihide |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_00868 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Group gradings on triangularizable algebras Schützer, Waldeck Yasumura, Felipe Yukihide Rings and Algebras 16W50 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. |
| title | Group gradings on triangularizable algebras |
| topic | Rings and Algebras 16W50 |
| url | https://arxiv.org/abs/2301.00868 |