Year: 2019
Author: Qingbing Xu, Kongsheng Zhang
Communications in Mathematical Research , Vol. 35 (2019), Iss. 1 : pp. 65–74
Abstract
Let $A$ be a Frobenius $k$-algebra. The matrix algebra $R=\begin{pmatrix}A & _AA_k\\[1mm]_kA_A & k\end{pmatrix}$ is called a generalized matrix algebra over a Frobenius algebra $A$. In this paper we show that $R$ is also a Frobenius algebra.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2019.01.07
Communications in Mathematical Research , Vol. 35 (2019), Iss. 1 : pp. 65–74
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Frobenius algebra generalized matrix algebra dual functor