Graded Frobenius algebras from tensor algebras of bimodules
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913747145064448 |
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| author | Dascalescu, Sorin Nastasescu, Constantin Nastasescu, Laura |
| author_facet | Dascalescu, Sorin Nastasescu, Constantin Nastasescu, Laura |
| contents | We consider certain quotient algebras of tensor algebras of bimodules $M$ over a finite-dimensional algebra $R$, and we investigate Frobenius type properties of such algebras. Our main interest is in the case where $M=R^*$, the linear dual of $R$. We obtain a large class of Frobenius or symmetric algebras, which are also equipped with a finite grading. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15614 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Graded Frobenius algebras from tensor algebras of bimodules Dascalescu, Sorin Nastasescu, Constantin Nastasescu, Laura Rings and Algebras 16D20, 16D50, 16L60, 16W50 We consider certain quotient algebras of tensor algebras of bimodules $M$ over a finite-dimensional algebra $R$, and we investigate Frobenius type properties of such algebras. Our main interest is in the case where $M=R^*$, the linear dual of $R$. We obtain a large class of Frobenius or symmetric algebras, which are also equipped with a finite grading. |
| title | Graded Frobenius algebras from tensor algebras of bimodules |
| topic | Rings and Algebras 16D20, 16D50, 16L60, 16W50 |
| url | https://arxiv.org/abs/2503.15614 |