List questions from modules

Published on 18 Feb 2020 - 19:11

267

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Representation of $\mathbb{Z}_2$ over $\mathbb{F}_2$

Published on 18 Feb 2020 - 22:19

129

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Ring $C([0,1])$

Published on 04 Apr 2026 - 16:50

256

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Let $M$ be a semisimple right module over the ring $R$, and let $T:= End_{R}(M)$, $M$ is a semisimple left module over the ring $T$.

Published on 04 Apr 2026 - 16:56

88

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Why the annihilator $\text{Ann}^{M}(a)$, with respect modules, not one sided?

Published on 19 Feb 2020 - 21:20

56

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Step of a proof in $R$-modules

Published on 11 Apr 2026 - 1:33

178

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Calculate $27^{162} \pmod {41}$

Published on 20 Feb 2020 - 12:36

213

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(Co)modules in arbitrary monoidal categories

Published on 20 Feb 2020 - 15:28

1.1k

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Uniqueness of Rank of Free Module

Published on 25 Mar 2026 - 18:14

55

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$Tor_{1}^{R}(A,B)$

Published on 04 Apr 2026 - 19:51

61

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Noncommutative geometry (Notation)

Published on 01 Apr 2026 - 15:01

17

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Equivalent Definition of Sub-Module

Published on 23 Feb 2020 - 15:38

36

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$\operatorname{Hom}_A(K,A)\neq0$ iff $A=K$

Published on 23 Feb 2020 - 22:55

44

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Show that if $M$ is an invertible $R$-module, then $M^{-1}=\left\{ a \in K : am \in R \ \forall m \in M \right\}$

Published on 24 Feb 2020 - 1:46

73

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If $A$ is a vector space over $Q$, $Ext_{R}^{n}(C,A)$ is a vector space over $Q$.

Published on 04 Apr 2026 - 19:56

List Question

Question on Primitive Ring and $\operatorname{End}(V)$

Representation of $\mathbb{Z}_2$ over $\mathbb{F}_2$

Ring $C([0,1])$

Let $M$ be a semisimple right module over the ring $R$, and let $T:= End_{R}(M)$, $M$ is a semisimple left module over the ring $T$.

Why the annihilator $\text{Ann}^{M}(a)$, with respect modules, not one sided?

Step of a proof in $R$-modules

Calculate $27^{162} \pmod {41}$

(Co)modules in arbitrary monoidal categories

Uniqueness of Rank of Free Module

$Tor_{1}^{R}(A,B)$

Noncommutative geometry (Notation)

Equivalent Definition of Sub-Module

$\operatorname{Hom}_A(K,A)\neq0$ iff $A=K$

Show that if $M$ is an invertible $R$-module, then $M^{-1}=\left\{ a \in K : am \in R \ \forall m \in M \right\}$

If $A$ is a vector space over $Q$, $Ext_{R}^{n}(C,A)$ is a vector space over $Q$.

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