New posts in modules

A module is projective iff it has a projective basis

Is every commutative ring having the invariant basis number property equivalent to AC?

If M+N and M$\cap$N are finitely generated modules, so are M and N.

$2 \otimes_{R} 2 + x \otimes_{R} x$ is not a simple tensor in $I \otimes_R I$

$k[x]/(x^n)$ module with finite free resolution is free

Prove $(2, x)$ is not a free $R$-module.

Solutions of homogeneous linear differential equations are a special case of structure theorem for f.g. modules over a PID

$R$ module homomorphisms between two modules

A ring that is left Noetherian but not right noetherian

Find kernel of induced map after tensoring

How to show fraction field is flat (without localization)

Is every submodule of a projective module projective?

Basic exercise on localization of modules

An $R$ module and $S$ module that cannot be an $R$-$S$ bimodule

Part of the third Isomorphism theorem for modules

Definition of intersection multiplicity in Hartshorne VS Fulton for plane curves

What does it mean that "the action of $\mathbb{Z}$ on $M$ factors through the quotient $\mathbb{Z}/p^n \mathbb{Z}$"?

Does there exist a projective module over $k[x_1,...,x_n]$ which is not free?

Injective Modules Motivation & Intuition

Corollary of the Malgrange Preparation Theorem