List questions from modules

Published on 10 Apr 2026 - 16:50

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Are the elements of a module also called vectors?

Published on 12 Apr 2026 - 16:47

329

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Does there exist a general technique for solving systems of multivariable linear congruences

Published on 13 Apr 2026 - 7:53

538

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$R$-module $M$ which is artinian, but not noetherian

Published on 12 Apr 2026 - 2:56

2.7k

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Is a group homomorphism a module homomorphism?

Published on 08 Apr 2026 - 23:30

99

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Examples of $R$-modules $X$ such that $(X \setminus TX) \cup \{0\}$ isn't a submodule.

Published on 03 Apr 2026 - 22:38

774

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Exterior algebra of a ring

Published on 12 Apr 2026 - 17:43

172

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$(R^{ \oplus A_1 })^{ \oplus A_2 } \cong R^{ \oplus (A_1 \times A_2)}$ - not a categorical proof

Published on 10 Apr 2026 - 2:58

608

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$\mathbb Z$ basis of the module $\mathbb Z [\zeta]$

Published on 08 Apr 2026 - 17:16

78

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does algebra over algebraically closed field has isomorphism classes of irreducible modules?

Published on 12 Apr 2026 - 20:04

90

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What is $\mathbb{F}_p(\sqrt{X})\otimes_{\mathbb{F}_p(X)} \mathbb{F}_p(\sqrt{X})$?

Published on 15 Jul 2016 - 1:43

45

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Question about $\mathbb{Z}^2 \otimes \text{sym}^2\mathbb{Z}^3$.

Published on 13 Apr 2026 - 11:58

66

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why the algebra $A = k[x]/(x^n)$ has finite representation type?

Published on 15 Jul 2016 - 20:30

184

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Is the tensor algebra functor a strong monoidal functor?

Published on 11 Apr 2026 - 19:26

225

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$f:A\to B$ flat homomorphism of rings, $Q$ is a prime ideal of $B,$ and $P=Q^c.$ Why is $B_Q$ a local ring of $B_P?$

Published on 28 Mar 2026 - 1:48

List Question

How does restriction of scalars interact with tensor products?

Are the elements of a module also called vectors?

Does there exist a general technique for solving systems of multivariable linear congruences

$R$-module $M$ which is artinian, but not noetherian

Is a group homomorphism a module homomorphism?

Examples of $R$-modules $X$ such that $(X \setminus TX) \cup \{0\}$ isn't a submodule.

Exterior algebra of a ring

$(R^{ \oplus A_1 })^{ \oplus A_2 } \cong R^{ \oplus (A_1 \times A_2)}$ - not a categorical proof

$\mathbb Z$ basis of the module $\mathbb Z [\zeta]$

does algebra over algebraically closed field has isomorphism classes of irreducible modules?

What is $\mathbb{F}_p(\sqrt{X})\otimes_{\mathbb{F}_p(X)} \mathbb{F}_p(\sqrt{X})$?

Question about $\mathbb{Z}^2 \otimes \text{sym}^2\mathbb{Z}^3$.

why the algebra $A = k[x]/(x^n)$ has finite representation type?

Is the tensor algebra functor a strong monoidal functor?

$f:A\to B$ flat homomorphism of rings, $Q$ is a prime ideal of $B,$ and $P=Q^c.$ Why is $B_Q$ a local ring of $B_P?$

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