An 
-bimodule is an abelian
group 
that is simultaneously a left 
-module and a right 
-module, with 
. A module over a commutative
ring is naturally a bimodule, and every ring
is a bimodule over itself.
Bimodule
See also
Module, Ring, Tensor ProductExplore with Wolfram|Alpha
References
Lang, S. Algebra, 3rd ed. New York: Springer-Verlag, 2002.Cite this as:
Weisstein, Eric W. "Bimodule." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Bimodule.html