A categories equivalence of associative bimodules

Authors : Victor López Solís, Marlennhi Moreno Vıllanueva

Pages : 66-72

Doi:10.24330/ieja.1438742

View : 174 | Download : 147

Publication Date : 2024-07-12

Article Type : Research Paper

Abstract :In this paper we use the classical Wedderburn\'s Kronecker Factorization Theorem to prove that category of bimodules over $B$ and the category of bimodules over $M_{n}(B)$ are equivalent, where $B$ is some unital associative algebra. In addition to this, we classify the irreducible bimodules over $M_{n}(F).$
Keywords : Kronecker factorization theorem, bimodule, irreducible bimodule