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Quotient Module


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

 a(x+N)=ax+N

for all a in R and all x in M.


See also

Quotient Group, Quotient Ring

This entry contributed by Margherita Barile

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Cite this as:

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

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