Newbetuts
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New posts in modules
Examples proving why the tensor product does not distribute over direct products.
abstract-algebra
modules
tensor-products
Reference request: compact objects in R-Mod are precisely the finitely-presented modules?
reference-request
category-theory
modules
Prove that $\operatorname{Hom}_{\Bbb{Z}}(\Bbb{Q},\Bbb{Z}) = 0$ and show that $\Bbb{Q}$ is not a projective $\Bbb{Z}$-module.
abstract-algebra
modules
proof-verification
projective-module
Consequences of Proposition 1.1 on Semi-inner-product $A$-modules
functional-analysis
modules
operator-algebras
c-star-algebras
Every $R$-module is free $\implies$ $R$ is a division ring
linear-algebra
abstract-algebra
modules
Number of subgroup $G<\Bbb Z^3$ such that $\Bbb Z^3/G\simeq \Bbb Z/3\Bbb Z\oplus\Bbb Z/3\Bbb Z$ [closed]
abstract-algebra
group-theory
modules
quotient-group
Applications of the Jordan-Hölder Theorem.
abstract-algebra
group-theory
reference-request
modules
If $M$ is an $R$-module and $I\subseteq\mathrm{Ann}(M)$ an ideal, then $M$ has a structure of $R/I$-module
abstract-algebra
ring-theory
modules
Showing that $\mathrm{Hom}_R(R/I, M) \cong \mathrm{Ann}_I(M)$
abstract-algebra
ring-theory
modules
When $\operatorname{Hom}_{R}(M,N)$ is finitely generated as $\mathbb Z$-module or $R$-module?
abstract-algebra
commutative-algebra
modules
Permutation module of $S_n$
abstract-algebra
representation-theory
modules
Why does the ideal $(a+bi)$ have index $a^2+b^2$ in $\mathbb{Z}[i]$? [duplicate]
abstract-algebra
modules
Finitely generated modules over a Noetherian ring are Noetherian
commutative-algebra
modules
proof-verification
Why do direct limits preserve exactness?
abstract-algebra
modules
Homomorphic image of a module
abstract-algebra
commutative-algebra
modules
abelian-categories
$R^n \cong R^m$ iff $n=m$
abstract-algebra
commutative-algebra
modules
Intuitive explanation of Nakayama's Lemma
abstract-algebra
intuition
commutative-algebra
modules
If $A$ an integral domain contains a field $K$ and $A$ over $K$ is a finite-dimensional vector space, then $A$ is a field. [duplicate]
commutative-algebra
ring-theory
field-theory
modules
Is $a^x \pmod{n} = (a\pmod{n})^{x \pmod{n}}$? [closed]
solution-verification
modular-arithmetic
modules
exponentiation
calculator
What exactly is the structure $IM$ for $I$ an ideal and $M$ a module?
notation
modules
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