Homogeneous involution on graded division algebras and their polynomial identities
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866913222539345920 |
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| author | Yasumura, Felipe Yukihide |
| author_facet | Yasumura, Felipe Yukihide |
| contents | In this short note, we describe the so-called homogeneous involution on finite-dimensional graded-division algebra over an algebraically closed field. We also compute their graded polynomial identities with involution. As pointed out by L. Fonseca and T. de Mello, a homogeneous involution naturally appears when dealing with graded polynomial identities and a compatible involution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_13562 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Homogeneous involution on graded division algebras and their polynomial identities Yasumura, Felipe Yukihide Rings and Algebras 16R50, 16W50 In this short note, we describe the so-called homogeneous involution on finite-dimensional graded-division algebra over an algebraically closed field. We also compute their graded polynomial identities with involution. As pointed out by L. Fonseca and T. de Mello, a homogeneous involution naturally appears when dealing with graded polynomial identities and a compatible involution. |
| title | Homogeneous involution on graded division algebras and their polynomial identities |
| topic | Rings and Algebras 16R50, 16W50 |
| url | https://arxiv.org/abs/2207.13562 |