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New posts in modules
Finitely generated modules over PID
abstract-algebra
modules
principal-ideal-domains
A question about the tensor product of $\mathbb{Q}$
commutative-algebra
modules
tensor-products
Is there any relation of injective modules to free modules?
abstract-algebra
commutative-algebra
modules
injective-module
free-modules
Why a different tensor product for left $G$-modules (group representations)?
representation-theory
modules
Modules over monoids vs algebra over monads
category-theory
modules
definition
monoid
monads
Is there a counterexample for the claim: if $A \oplus B\cong A\oplus C$ then $B\cong C$? [closed]
abstract-algebra
modules
finitely-generated
Noetherian and Artinian modules are direct sum of finitely many indecomposible modules
abstract-algebra
modules
Every non-finitely generated module has a minimal generating set.
abstract-algebra
ring-theory
modules
If $A$ is a direct sum of matrix algebra over $C$, what are all finite dimensional simple $A$-modules?
abstract-algebra
modules
representation-theory
direct-sum
semisimple-lie-algebras
$M' \to M \to M'' \to 0$ exact $\implies 0\to \text{Hom}(M'',N) \to \text{Hom}(M,N) \to \text{Hom}(M',N)$ is exact.
abstract-algebra
modules
exact-sequence
Book for Module Theory
reference-request
modules
book-recommendation
Example of non-flat modules
abstract-algebra
ring-theory
modules
flatness
If $f:M\to N$ is a morphism of $A$-modules, counter-example to $M\cong \operatorname{ker}f\oplus \operatorname{im}f$
linear-algebra
abstract-algebra
modules
Extension, restriction, and coextension of scalars adjunctions in the case of noncommutative rings?
linear-algebra
abstract-algebra
ring-theory
category-theory
modules
Baer Sum notation requires clearence.
modules
homological-algebra
Tensor product of a number field $K$ and the $p$-adic integers
number-theory
modules
algebraic-number-theory
p-adic-number-theory
$v \otimes v' = v' \otimes v$ implies $v = av'$
abstract-algebra
modules
tensor-products
Is it possible to make any abelian group homomorphism into a linear map?
group-theory
category-theory
modules
$S^{-1}B$ and $T^{-1}B$ isomorphic for $T=f(S)$
commutative-algebra
ring-theory
modules
fractions
If $\{M_i\}_{i \in I}$ is a family of $R$-modules free, then the product $\prod_{i \in I}M_i$ is free?
abstract-algebra
commutative-algebra
modules
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