List questions from modules

Published on 19 Nov 2019 - 16:55

173

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Is the following ring (artinian) semisimple? And are any of these attempts valid?

Published on 23 Feb 2026 - 2:15

41

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Why $(r+(p))(a+pA) = ra+pA$ holds?

Published on 19 Nov 2019 - 21:00

82

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Proving cardinality of basis in Module theory

Published on 19 Nov 2019 - 21:20

31

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Surjection of kernels of a finite $A$-module endomorphism and induced free endomorphism.

Published on 20 Nov 2019 - 1:37

130

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$M'\to M \to M''\to 0$ is exact

Published on 26 Mar 2026 - 20:40

174

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Modules: monos are stable under pushouts

Published on 27 Mar 2026 - 14:33

258

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R-R bimodule definition

Published on 08 Apr 2026 - 6:36

35

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Showing module can be decomposed

Published on 21 Nov 2019 - 20:44

46

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Consequences of Proposition 1.1 on Semi-inner-product $A$-modules

Published on 30 Mar 2026 - 8:59

87

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$\mathrm{Hom}(N,\bullet)$ is a functor from (($R$-alg)) to ((?))

Published on 23 Nov 2019 - 6:17

79

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Show that if $M = M_1 \oplus \cdots \oplus M_n$ then $T(M) = T(M_1) \oplus \cdots \oplus T(M_n)$

Published on 23 Nov 2019 - 6:19

119

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$K[X]$ module and characteristic polynomial

Published on 23 Nov 2019 - 8:34

149

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Module over skew polynomial ring

Published on 25 Mar 2026 - 15:54

180

Views

$p\mathbb{Z}$ is not a direct summand of $\mathbb{Z}$

Published on 23 Nov 2019 - 11:39

List Question

Any subset of associated primes of a module M is $\text{Ass}_R(N)$ for some sub-module $N$ of $M$.

Is the following ring (artinian) semisimple? And are any of these attempts valid?

Why $(r+(p))(a+pA) = ra+pA$ holds?

Proving cardinality of basis in Module theory

Surjection of kernels of a finite $A$-module endomorphism and induced free endomorphism.

$M'\to M \to M''\to 0$ is exact

Modules: monos are stable under pushouts

R-R bimodule definition

Showing module can be decomposed

Consequences of Proposition 1.1 on Semi-inner-product $A$-modules

$\mathrm{Hom}(N,\bullet)$ is a functor from (($R$-alg)) to ((?))

Show that if $M = M_1 \oplus \cdots \oplus M_n$ then $T(M) = T(M_1) \oplus \cdots \oplus T(M_n)$

$K[X]$ module and characteristic polynomial

Module over skew polynomial ring

$p\mathbb{Z}$ is not a direct summand of $\mathbb{Z}$

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