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We should develop the theory of the free R-module on a set X by defining it as the tensor product of R and the free abelian group on X and showing standard properties like functoriality as we have done for the free abelian group.
It should either go in Module.v or in its own file FreeModule.v.
There is some choice whether to choose a left or right module, but a left module makes more sense with R being tensored on the right.
The text was updated successfully, but these errors were encountered:
We should develop the theory of the free R-module on a set
X
by defining it as the tensor product ofR
and the free abelian group onX
and showing standard properties like functoriality as we have done for the free abelian group.It should either go in
Module.v
or in its own fileFreeModule.v
.There is some choice whether to choose a left or right module, but a left module makes more sense with R being tensored on the right.
The text was updated successfully, but these errors were encountered: