 Bimodule

An $(R,S)$-bimodule is simultaneously a left $R$-module and a right $S$-module, with commuting scalar actions $(rm)s=r(ms)$.

In mathematics, particularly in the field of algebra, a **bimodule** is a generalization of the concept of a module. A bimodule is a structure that consists of a set equipped with operations that allow it to be treated as a module for two rings simultaneously.