Graded Frobenius algebras from tensor algebras of bimodules

2025/03/19 by Dascalescu, Sorin, Nastasescu, Constantin, Nastasescu, Laura
#16D20 #16D50 #16L60 #16W50 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2503.15614

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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