New posts in modules

Number of generators of $I\otimes_R I$

abstract-algebra modules tensor-products

$K[X]$-modules are $K$-vector spaces with a linear transformation

abstract-algebra modules

Evaluate $6^{433} \pmod {21}$ and a proving question

discrete-mathematics modular-arithmetic modules computer-science

Mitchell's Embedding Theorem for not-necessarily-small categories

category-theory modules abelian-categories

Flat not projective, projective not free [duplicate]

commutative-algebra modules

Integral domain with a finitely generated non-zero injective module is a field

abstract-algebra ring-theory commutative-algebra modules injective-module

Size of a linear image of a cube in $\mathbb{Z}^d$

linear-algebra group-theory modules abelian-groups

For abelian groups: does knowing $\text{Hom}(X,Z)$ for all $Z$ suffice to determine $X$?

abstract-algebra group-theory modules abelian-groups

Suppose $I\oplus K$ is a free module, then "$KI\subseteq K\cap I$"

abstract-algebra ring-theory modules

Direct limit of arbitrary family of tensor products of A-algebras

commutative-algebra category-theory modules

Is there an interpretation of higher cohomology groups in terms of group extensions?

group-theory modules homological-algebra group-cohomology

Let $R$ be an integral domain and let $X$ be a torsion module over $R$. Then $Tor_n(X,Y)$ is a torsion module for every $n≥0$.

modules homological-algebra projective-module

Every finitely generated flat module over a ring with a finite number of minimal primes is projective

commutative-algebra modules projective-module flatness

Lemma 1.3.4(b) in Bruns and Herzog

commutative-algebra modules

is the pushforward of a flat sheaf flat?

algebraic-geometry modules sheaf-theory coherent-sheaves quasicoherent-sheaves

Structure theorem (PIDs) from Smith Normal Form

abstract-algebra modules principal-ideal-domains smith-normal-form

Picard group of UFD is trivial

commutative-algebra modules unique-factorization-domains

Why do we call it trace?

abstract-algebra terminology modules

Euler's theorem: [3]^2014^2014 mod 98

discrete-mathematics modules chinese-remainder-theorem

restriction of scalars, reference or suggestion for proof

modules