Question

$(A/\mathfrak{a}) \otimes_A M \simeq M / \mathfrak{a}M$ by tensoring the canonical exact sequence.

score 266 · Answer 1 · 2026-03-25 08:01:34

266

Views

$(A/\mathfrak{a}) \otimes_A M \simeq M / \mathfrak{a}M$ by tensoring the canonical exact sequence.

Published on 25 Mar 2026 - 8:01

score 179 · Answer 2 · 2018-03-30 05:36:44

179

Views

Shorter proof that $\mathbb{C}\otimes_{\mathbb{R}} \mathbb{C}\cong \mathbb{C}^2$

Published on 30 Mar 2018 - 5:36

score 539 · Answer 3 · 2026-03-24 23:41:59

539

Views

Noetherian module and noetherian ring

Published on 24 Mar 2026 - 23:41

score 34 · Answer 4 · 2026-03-24 23:48:10

34

Views

$k$ be an algebraically closed field , $R=M(n,k)$ , then $k \cong End_R (k^n)$

Published on 24 Mar 2026 - 23:48

score 88 · Answer 5 · 2018-03-30 22:18:32

88

Views

Relation between tensor and hom in a specific case.

Published on 30 Mar 2018 - 22:18

score 57 · Answer 6 · 2026-03-25 18:53:24

57

Views

Invertible ideals and locally free module

Published on 25 Mar 2026 - 18:53

score 131 · Answer 7 · 2026-03-25 06:00:41

131

Views

abelian group, direct summand

Published on 25 Mar 2026 - 6:00

score 180 · Answer 8 · 2018-04-01 04:01:16

180

Views

Confusion about a statement of finitely presented module

Published on 01 Apr 2018 - 4:01

score 133 · Answer 9 · 2026-03-25 19:59:05

133

Views

Characterizing integral domains for which every ideal, that can be generated by two elements, is projective?

Published on 25 Mar 2026 - 19:59

score 170 · Answer 10 · 2026-03-25 06:24:31

170

Views

Is $\mathbb{Z}[x]/(2x^2)$ a finitely generated $\mathbb{Z}$ module?

Published on 25 Mar 2026 - 6:24

score 811 · Answer 11 · 2026-03-25 07:48:40

811

Views

Jordan Block of Kronecker Product

Published on 25 Mar 2026 - 7:48

score 67 · Answer 12 · 2018-04-03 17:38:39

67

Views

let $M_1,..., M_n$ be left modules over R, and $M = M_1 \bigoplus ... \bigoplus M_n$.

Published on 03 Apr 2018 - 17:38

score 382 · Answer 13 · 2026-03-23 01:16:54

382

Views

A module $M$ whose submodules and factor modules are semisimple but not semisimple itself

Published on 23 Mar 2026 - 1:16

score 101 · Answer 14 · 2026-03-25 07:58:47

101

Views

Question concerning exact sequences of $R$-modules

Published on 25 Mar 2026 - 7:58

score 88 · Answer 15 · 2026-03-22 02:14:53

88

Views

Adjunction of $A$-Module Morphisms

Published on 22 Mar 2026 - 2:14

List Question

$(A/\mathfrak{a}) \otimes_A M \simeq M / \mathfrak{a}M$ by tensoring the canonical exact sequence.

Shorter proof that $\mathbb{C}\otimes_{\mathbb{R}} \mathbb{C}\cong \mathbb{C}^2$

Noetherian module and noetherian ring

$k$ be an algebraically closed field , $R=M(n,k)$ , then $k \cong End_R (k^n)$

Relation between tensor and hom in a specific case.

Invertible ideals and locally free module

abelian group, direct summand

Confusion about a statement of finitely presented module

Characterizing integral domains for which every ideal, that can be generated by two elements, is projective?

Is $\mathbb{Z}[x]/(2x^2)$ a finitely generated $\mathbb{Z}$ module?

Jordan Block of Kronecker Product

let $M_1,..., M_n$ be left modules over R, and $M = M_1 \bigoplus ... \bigoplus M_n$.

A module $M$ whose submodules and factor modules are semisimple but not semisimple itself

Question concerning exact sequences of $R$-modules

Adjunction of $A$-Module Morphisms

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