Newbetuts
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New posts in modules
Are those two ways to relate Extensions to Ext equivalent?
modules
homological-algebra
derived-functors
When does a torsion $\mathbb{Z}_p$-module have unique maximal submodule?
abstract-algebra
commutative-algebra
modules
p-adic-number-theory
Rank-nullity theorem for free $\mathbb Z$-modules
linear-algebra
modules
homological-algebra
abelian-groups
Writing an explicit map and making a vector space defined over field $F$ into a $F[x ,y]$-module
abstract-algebra
modules
What exactly is an $R$-module?
abstract-algebra
modules
Question on $(2, 1+\sqrt{-5})$ as a submodule of $\mathbb{Z}[\sqrt{-5}]$.
abstract-algebra
ring-theory
modules
ideals
free-modules
Motivation behind the definition of localization
commutative-algebra
modules
localization
Origin of the terminology projective module
abstract-algebra
modules
terminology
projective-module
Ring of polynomials as a module over symmetric polynomials
abstract-algebra
algebraic-geometry
modules
representation-theory
symmetric-polynomials
What is the importance of modules in algebraic geometry?
algebraic-geometry
commutative-algebra
soft-question
modules
Motivation behind the definition of flat module
commutative-algebra
modules
motivation
flatness
Elementary proof that if $A$ is a matrix map from $\mathbb{Z}^m$ to $\mathbb Z^n$, then the map is surjective iff the gcd of maximal minors is $1$
abstract-algebra
modules
determinant
integer-lattices
Show that $M[x] \cong A[x] \otimes_{A} M.$
ring-theory
commutative-algebra
modules
tensor-products
solution-verification
Proof that the map Hom$_R(R,M)\rightarrow M$ given by $f\mapsto f(1)$ is an isomorphism of $R$-modules
abstract-algebra
modules
Computing $\mathrm{Hom}(\mathbb Z_n,\mathbb Z_m)$ as $\mathbb Z$-module
abstract-algebra
modules
abelian-groups
When can we say elements of tensor product are equal to $0$?
abstract-algebra
modules
tensor-products
Vector Spaces: Understanding the basics
linear-algebra
abstract-algebra
ring-theory
vector-spaces
modules
Localization and Field [duplicate]
abstract-algebra
modules
localization
filters
What does a zero tensor product imply?
commutative-algebra
modules
tensor-products
Determining the presentation matrix for a module
abstract-algebra
modules
group-presentation
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