New posts in Free Modules

Are projective modules over $\mathbb{Z}[x_1,...,x_m]$ free?

Step in Bourbaki Commutative algebra exercise

tensor product of non free modules which is free

Why is the $C^\infty(M)$-module of smooth sections of a vector bundle $E$ not free?

Free vector space over a set

When is every direct product of a ring also a free module?

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

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

If a polynomial ring is a free module over some subring, is that subring itself a polynomial ring?

Generators of a finitely generated free module over a commutative ring