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New posts in modules
If the tensor power $M^{\otimes n} = 0$, is it possible that $M^{\otimes n-1}$ is nonzero?
abstract-algebra
modules
examples-counterexamples
abelian-groups
tensor-products
About flatness of modules / algebras
abstract-algebra
commutative-algebra
modules
abelian-categories
flatness
Is a finitely generated projective module a direct summand of a *finitely generated* free module?
abstract-algebra
ring-theory
modules
noncommutative-algebra
projective-module
A module as an external direct product of the kernel and image of an idempotent function
abstract-algebra
ring-theory
modules
terminology
direct-sum
Characterization of short exact sequences
abstract-algebra
modules
homological-algebra
exact-sequence
Example of a ring without Invariant Basis Property
abstract-algebra
modules
If $M$ is an artinian module and $f : M\to M$ is an injective homomorphism, then $f$ is surjective.
abstract-algebra
modules
Is a stably free module always free? [duplicate]
abstract-algebra
modules
projective-module
$M$ finitely generated if submodule and quotient are finitely generated.
abstract-algebra
modules
Tensor product of modules over non commutative rings
modules
tensor-products
Prove $D$ is $R$-algebra
abstract-algebra
ring-theory
commutative-algebra
modules
free-modules
Countable infinite direct product of $\mathbb{Z}$ modulo countable direct sum
abstract-algebra
group-theory
modules
$R/Ra$ is an injective module over itself
abstract-algebra
modules
principal-ideal-domains
injective-module
Short Exact Sequences & Rank Nullity
abstract-algebra
group-theory
modules
homological-algebra
The ideal $(x,y)$ is not a free $K[x,y]$-module
commutative-algebra
polynomials
modules
ideals
Isomorphism between localizations (2) [duplicate]
commutative-algebra
ring-theory
modules
fractions
Any recommended exercise book for undergraduate finite group representation theory and modules theory?
reference-request
modules
representation-theory
book-recommendation
Is Orzech's generalization of the surjective-endomorphism-is-injective theorem correct?
abstract-algebra
commutative-algebra
modules
How to prove that $R/I \otimes_R M \cong M / IM$ [duplicate]
modules
tensor-products
Does an injective endomorphism of a finitely-generated free R-module have nonzero determinant?
linear-algebra
commutative-algebra
modules
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