Bbimodule
Bbimodule is typically a misspelling of bimodule, a fundamental concept in algebra. A bimodule over rings (or algebras) is an abelian group that carries both a left action of one ring and a right action of another, with the two actions commuting.
Formally, if R and S are rings, an (R,S)-bimodule M consists of a left R-action and a
Common examples include: the ring R itself regarded as an (R,R)-bimodule via ring multiplication; an (R,S)-bimodule
One important construction is the tensor product. If M is an (R,S)-bimodule and N is an (S,T)-bimodule,
In addition, bimodules form a bicategory whose objects are rings, 1-morphisms are bimodules, and 2-morphisms are
See also: bimodule, module, ring, Morita theory, tensor product, bicategory.