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arXiv · 2503.15614

Graded Frobenius algebras from tensor algebras of bimodules

Sorin Dascalescu·Constantin Nastasescu·Laura Nastasescu
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Abstract

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.

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Sorin Dascalescu, Constantin Nastasescu, Laura Nastasescu. 2025-03-19. Graded Frobenius algebras from tensor algebras of bimodules. https://arxiv.org/abs/2503.15614

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