List questions from modules

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$F[x]$-modules and their relation to $F$-vector spaces

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What is the explicit isomorphism?

Published on 31 Dec 2019 - 3:08

131

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Exact sequence and $S$-Noetherian module.

Published on 26 Mar 2026 - 9:45

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Two Examples of Cyclic Modules

Published on 01 Jan 2020 - 20:48

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Why do Automorphisms of (matrix) rings not necessarily lift to a module automorphism?

Published on 29 Mar 2026 - 8:20

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Filtered colimit and functor $\text{Hom}(X,-)$

Published on 25 Mar 2026 - 23:56

123

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Sum of members from multiplicative group of prime order $k$ modulo prime $P$? $c$ in: $\sum_{n=1}^{k} (g^n \bmod P) = c \cdot P$ ($g$ prime order $k$)

Published on 25 Mar 2026 - 17:41

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Existence of non-zero subspace given linear map

Published on 03 Jan 2020 - 18:05

300

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Why this s.e.s. splits?

Published on 26 Mar 2026 - 6:18

145

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Basic module on a ring properties proof

Published on 04 Jan 2020 - 11:24

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Example of a (non-simple) right $R$-module that is not annihilated by the Jacobson radical $J(R)$.

Published on 02 Apr 2026 - 12:04

300

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Proposition 2.10 from "Algebraic Number Theory" by Neukirch

Published on 04 Jan 2020 - 20:43

130

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Proposition 2.12 from Neukirch ANT. Notation question.

Published on 04 Jan 2020 - 22:13

115

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Homomorphism $R$-linear between $\Bbb {Z}$ and $\Bbb{Z_n}$

Published on 06 Jan 2020 - 11:43

List Question

Choice of a basis for modules over PID

$F[x]$-modules and their relation to $F$-vector spaces

What is the explicit isomorphism?

Exact sequence and $S$-Noetherian module.

Two Examples of Cyclic Modules

Why do Automorphisms of (matrix) rings not necessarily lift to a module automorphism?

Filtered colimit and functor $\text{Hom}(X,-)$

Sum of members from multiplicative group of prime order $k$ modulo prime $P$? $c$ in: $\sum_{n=1}^{k} (g^n \bmod P) = c \cdot P$ ($g$ prime order $k$)

Existence of non-zero subspace given linear map

Why this s.e.s. splits?

Basic module on a ring properties proof

Example of a (non-simple) right $R$-module that is not annihilated by the Jacobson radical $J(R)$.

Proposition 2.10 from "Algebraic Number Theory" by Neukirch

Proposition 2.12 from Neukirch ANT. Notation question.

Homomorphism $R$-linear between $\Bbb {Z}$ and $\Bbb{Z_n}$

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