A CATEGORIES EQUIVALENCE OF ASSOCIATIVE BIMODULES

Solís V.L.; Villanueva M.M. · International Electronic Journal of Algebra (2024) · DOI: 10.24330/ieja.1438742

Resumen

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 Mn(B) are equivalent, where B is some unital associative algebra. In addition to this, we classify the irreducible bimodules over Mn(F).

Instituciones: Universidad Nacional de Barranca