Bimodule

An

(R, S)

-bimodule is simultaneously a left

R

-module and a right

S

-module, with commuting scalar actions

(r m) s = r (m s)

.

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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.

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