New posts in Modules

Non-flatness of $k[t]$ as a $k[t^2,t^3]$-module

Question on Iwasawa Theory

Show if an abelian group $G$ has a $\mathbb Q$-vector space structure, then it is unique.

Endomorphism Rings of finite length Modules are semiprimary

What is the significance of the quotient $m/m^2$?

Prove that $\mathbb{Q}$ is not projective using the Hom functor

A module that has a basis shorter than its rank?

Is every finite dimensional semisimple algebra over $k$ isomorphic to a direct sum of finitely many matrix algebras over $k$?

A morphism of free modules that is an isomorphism upon dualization.

All $\mathbb{Z}$-submodules of $\mathbb{Z}\oplus\mathbb{Z}$ are free.