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Some Characterizations of Isoartinian Module

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#abstract-algebra #ring-theory #modules #ring-isomorphism #module-isomorphism
20
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Doubts regarding correspondence theorem.

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#elementary-set-theory #ring-isomorphism #module-isomorphism
61
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Every left $KG$-module $M$ is a right $KG$-module

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#abstract-algebra #free-modules #module-isomorphism
51
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Over a left V-ring, why is every module containing a simple essential submodule is simple?

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#abstract-algebra #ring-theory #modules #ring-isomorphism #module-isomorphism
108
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Show that two modules $V_A$, $V_B$ are isomorphic

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#abstract-algebra #modules #module-isomorphism
111
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$\mathbb{Z}[i]$-modules with 101 elements and cyclic $\mathbb{Z}[i]$-torsion modules

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#modules #principal-ideal-domains #module-isomorphism
77
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Prove $\theta:S\to E^G$ is $R$-module isomorphism

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#abstract-algebra #galois-theory #homology-cohomology #group-homomorphism #module-isomorphism
961
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Why is $(R/J)/I(R/J)$ isomorphic to $R/(I+J)$ as $R$-modules?

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#abstract-algebra #modules #tensor-products #module-isomorphism
81
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Condition for isomorphism of $R$-module homomorphism.

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#abstract-algebra #proof-explanation #modules #graded-modules #module-isomorphism
342
Views

If $R$ is commutative then $\operatorname{Hom}_R(R,M)$ is isomorphic with $R$-module $M$. Is the converse also true?

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#linear-algebra #ring-theory #modules #module-isomorphism
34
Views

Does localisation (of modules) cancel.

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#abstract-algebra #modules #localization #module-isomorphism
105
Views

Chinese Remainder Theorem in Structure Theorem for f.g. Modules over a PID

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#abstract-algebra #modules #chinese-remainder-theorem #module-isomorphism
64
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How can I explain the intuition behind the First Isomorphism Theorem for modules or for rings to a lay person in mathematics

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#ring-theory #modules #module-isomorphism
88
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If $R'$ is a faithfully flat $R-$algebra, then $(B/f(A))\otimes_R R' \cong B'/f' (A')$

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#abstract-algebra #commutative-algebra #modules #module-isomorphism
47
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Modified general abstract non-sense

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#category-theory #morphism #module-isomorphism

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