If
is a submodule of the module
over the ring
, the quotient group
has a natural structure of
-module with the product defined by
for all
and all
.
If
is a submodule of the module
over the ring
, the quotient group
has a natural structure of
-module with the product defined by
for all
and all
.
This entry contributed by Margherita Barile
Weisstein, Eric W., with contributions by Margherita Barile. "Quotient Module." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/QuotientModule.html