List questions from module-isomorphism

Published on 26 Aug 2020 - 11:13

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$\operatorname{Hom}_R(F,R)$ is isomorphic to $F$ where $F$ is a free $R$-module of finite rank

Published on 28 Aug 2020 - 21:01

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If a left module M is co-isosimple and semi-Hopfian, then M is simple.

Published on 02 Sep 2020 - 11:08

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Lattice Homomorphisms and Modules

Published on 10 Sep 2020 - 13:36

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Condition under which a ring is isomorphic to a right ideal.

Published on 11 Sep 2020 - 3:05

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For a ring R, CI-rad(M)=rad(M) for each R-module M iff every co-isosimple R-module is simple.

Published on 02 Oct 2020 - 14:51

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Relationship between submodules of $F[x]/(x^n)$ and $F^n$.

Published on 06 Oct 2020 - 2:50

57

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Module Isomorphisms of Maximal Orders

Published on 14 Oct 2020 - 10:33

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Idempotent Endomorphism of semi simple module

Published on 26 Oct 2020 - 20:35

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Isomorphism between $R = \mathbb{R}[X, Y]/(X^2 + Y^2 - 1)$ and $IJ$ where $I = (x - 1, y)$ and $J = (y, x - 1)$

Published on 25 Nov 2020 - 21:48

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prove that $\operatorname{Hom}_\Bbb{Z}(\Bbb{Z}/n\Bbb{Z},A)\cong A_n.$

Published on 26 Dec 2020 - 7:37

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A problem on module homomorphism

Published on 27 Dec 2020 - 18:16

51

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Finding Tensor Product

Published on 06 Jan 2021 - 18:11

202

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Module Isomorphism

Published on 25 Mar 2026 - 1:32

207

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Proving that the existence of a section implies the direct sum.

Published on 22 Jan 2021 - 1:04

List Question

Quotients of Two-sided and One-sided Ideals

$\operatorname{Hom}_R(F,R)$ is isomorphic to $F$ where $F$ is a free $R$-module of finite rank

If a left module M is co-isosimple and semi-Hopfian, then M is simple.

Lattice Homomorphisms and Modules

Condition under which a ring is isomorphic to a right ideal.

For a ring R, CI-rad(M)=rad(M) for each R-module M iff every co-isosimple R-module is simple.

Relationship between submodules of $F[x]/(x^n)$ and $F^n$.

Module Isomorphisms of Maximal Orders

Idempotent Endomorphism of semi simple module

Isomorphism between $R = \mathbb{R}[X, Y]/(X^2 + Y^2 - 1)$ and $IJ$ where $I = (x - 1, y)$ and $J = (y, x - 1)$

prove that $\operatorname{Hom}_\Bbb{Z}(\Bbb{Z}/n\Bbb{Z},A)\cong A_n.$

A problem on module homomorphism

Finding Tensor Product

Module Isomorphism

Proving that the existence of a section implies the direct sum.

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