Editing Bimodule (section)

{{Short description|Abelian group equipped with compatible ring action on both sides}}
In [[abstract algebra]], a '''bimodule''' is an [[abelian group]] that is both a left and a right [[module (mathematics)|module]], such that the left and right multiplications are compatible. Besides appearing naturally in many parts of [[mathematics]], bimodules play a clarifying role, in the sense that many of the relationships between left and right modules become simpler when they are expressed in terms of bimodules.