List questions from modules

Published on 29 May 2020 - 19:55

26

Views

Is $f(a_1 + p\mathbb{Z},a_2 + p^2 \mathbb{Z}, \ldots) = (0,pa_1 + p^2 \mathbb{Z},\ldots)$ surjective?

Published on 29 May 2020 - 21:36

59

Views

Alternative notation for direct sum: $E^{(I)}$

Published on 28 Mar 2026 - 2:09

340

Views

Describe prime ideals and Krull dimension of $\overline{\mathbb{Q}} \otimes_{\mathbb{Q}} \overline{\mathbb{Q}}$

Published on 28 Mar 2026 - 4:50

281

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Two questions about the evaluation functor

Published on 10 Apr 2026 - 2:18

530

Views

Is $\frac{\bigcap_{k=1}^\infty M_k}{\bigcup_{k=1}^\infty N_k}$ a direct limit?

Published on 26 Mar 2026 - 6:30

198

Views

Relation between Jordan Normal Form and cyclic modules

Published on 29 Mar 2026 - 21:49

177

Views

Does $a=ea$ and $ae=eae$ for some $a\in R$, imply that $a=e$ for any idempotent $e$ in $R$?

Published on 12 Apr 2026 - 17:27

42

Views

Intersection of $I$-adic neiborhoods equal to intersection of kernel of localization map

Published on 26 Mar 2026 - 14:22

30

Views

$ch(M\otimes N)=chMchN$

Published on 26 Mar 2026 - 9:16

65

Views

Induced homomorphism example

Published on 10 Apr 2026 - 14:58

188

Views

A module annihilated by a maximal ideal is semisimple

Published on 11 Apr 2026 - 22:17

160

Views

Equivalence for artinian and noetherian vector spaces

Published on 26 Mar 2026 - 10:58

320

Views

Irreducible components are the building blocks?

Published on 12 Apr 2026 - 16:55

623

Views

All idempotent elements in $M_n(F)$

Published on 26 Mar 2026 - 4:16

List Question

A variation in the construction of the tensor product of modules

Is $f(a_1 + p\mathbb{Z},a_2 + p^2 \mathbb{Z}, \ldots) = (0,pa_1 + p^2 \mathbb{Z},\ldots)$ surjective?

Alternative notation for direct sum: $E^{(I)}$

Describe prime ideals and Krull dimension of $\overline{\mathbb{Q}} \otimes_{\mathbb{Q}} \overline{\mathbb{Q}}$

Two questions about the evaluation functor

Is $\frac{\bigcap_{k=1}^\infty M_k}{\bigcup_{k=1}^\infty N_k}$ a direct limit?

Relation between Jordan Normal Form and cyclic modules

Does $a=ea$ and $ae=eae$ for some $a\in R$, imply that $a=e$ for any idempotent $e$ in $R$?

Intersection of $I$-adic neiborhoods equal to intersection of kernel of localization map

$ch(M\otimes N)=chMchN$

Induced homomorphism example

A module annihilated by a maximal ideal is semisimple

Equivalence for artinian and noetherian vector spaces

Irreducible components are the building blocks?

All idempotent elements in $M_n(F)$

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