Cohomology of BiHom-Associative Trialgebras
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914768187555840 |
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| author | Mainellis, Erik Mosbahi, Bouzid Zahari, Ahmed |
| author_facet | Mainellis, Erik Mosbahi, Bouzid Zahari, Ahmed |
| contents | The paper concerns the cohomology of (multiplicative) BiHom-associative trialgebras. We first detail the correspondence between central extensions and second cohomology. This is followed by a general cohomology theory that unifies those of BiHom-associative algebras and associative trialgebras. Finally, we introduce one-parameter formal deformations and classify generalized $αβ$-derivations of 3-dimensional BiHom-associative trialgebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_15567 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cohomology of BiHom-Associative Trialgebras Mainellis, Erik Mosbahi, Bouzid Zahari, Ahmed Rings and Algebras 2010: 17A30, 17A32, 16D20, 16W25, 17B63 The paper concerns the cohomology of (multiplicative) BiHom-associative trialgebras. We first detail the correspondence between central extensions and second cohomology. This is followed by a general cohomology theory that unifies those of BiHom-associative algebras and associative trialgebras. Finally, we introduce one-parameter formal deformations and classify generalized $αβ$-derivations of 3-dimensional BiHom-associative trialgebras. |
| title | Cohomology of BiHom-Associative Trialgebras |
| topic | Rings and Algebras 2010: 17A30, 17A32, 16D20, 16W25, 17B63 |
| url | https://arxiv.org/abs/2404.15567 |