Compatible Associative Algebras and Some Invariants
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910726001524736 |
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| author | Mainellis, Erik Mosbahi, Bouzid Zahari, Ahmed |
| author_facet | Mainellis, Erik Mosbahi, Bouzid Zahari, Ahmed |
| contents | A compatible associative algebra is a vector space equipped with two associative multiplication structures that interact in a certain natural way. This article presents the classification of these algebras with dimension less than four, as well as the classifications of their corresponding derivations, centroids, automorphisms, and quasi-centroids. We then characterize a selection of further invariants such as Rota-Baxter operators and second cohomology for some specific examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_18243 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Compatible Associative Algebras and Some Invariants Mainellis, Erik Mosbahi, Bouzid Zahari, Ahmed Rings and Algebras 2020: 16E40, 16W20, 16W25, 16W99 A compatible associative algebra is a vector space equipped with two associative multiplication structures that interact in a certain natural way. This article presents the classification of these algebras with dimension less than four, as well as the classifications of their corresponding derivations, centroids, automorphisms, and quasi-centroids. We then characterize a selection of further invariants such as Rota-Baxter operators and second cohomology for some specific examples. |
| title | Compatible Associative Algebras and Some Invariants |
| topic | Rings and Algebras 2020: 16E40, 16W20, 16W25, 16W99 |
| url | https://arxiv.org/abs/2405.18243 |