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Quotient Module


A quotient module is the quotient group M/N of a module M over a ring R by a submodule N, with its natural R-module structure defined by

 a(x+N)=ax+N

for all a in R and for all x in M.


See also

Cokernel, Composition Series, Module Length, Quotient Group, Quotient Ring

This entry contributed by Margherita Barile

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Cite this as:

Weisstein, Eric W., with contributions by Margherita Barile. "Quotient Module." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/QuotientModule.html

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