Question

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

score 269 · Answer 1 · 2026-05-10 13:50:38

269

Views

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

Published on 10 May 2026 - 13:50

score 182 · Answer 2 · 2026-04-14 00:54:12

182

Views

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

Published on 14 Apr 2026 - 0:54

score 542 · Answer 3 · 2026-05-10 14:46:20

542

Views

Noetherian module and noetherian ring

Published on 10 May 2026 - 14:46

score 36 · Answer 4 · 2026-05-10 17:16:40

36

Views

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

Published on 10 May 2026 - 17:16

score 93 · Answer 5 · 2026-04-17 12:02:53

93

Views

Relation between tensor and hom in a specific case.

Published on 17 Apr 2026 - 12:02

score 63 · Answer 6 · 2026-04-29 12:42:54

63

Views

Invertible ideals and locally free module

Published on 29 Apr 2026 - 12:42

score 139 · Answer 7 · 2026-05-10 13:47:46

139

Views

abelian group, direct summand

Published on 10 May 2026 - 13:47

score 183 · Answer 8 · 2026-04-09 14:13:53

183

Views

Confusion about a statement of finitely presented module

Published on 09 Apr 2026 - 14:13

score 140 · Answer 9 · 2026-05-11 03:24:50

140

Views

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

Published on 11 May 2026 - 3:24

score 173 · Answer 10 · 2026-05-10 13:24:05

173

Views

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

Published on 10 May 2026 - 13:24

score 815 · Answer 11 · 2026-05-10 16:13:03

815

Views

Jordan Block of Kronecker Product

Published on 10 May 2026 - 16:13

score 70 · Answer 12 · 2026-04-17 11:03:35

70

Views

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

Published on 17 Apr 2026 - 11:03

score 388 · Answer 13 · 2026-05-07 12:34:58

388

Views

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

Published on 07 May 2026 - 12:34

score 104 · Answer 14 · 2026-05-10 14:55:09

104

Views

Question concerning exact sequences of $R$-modules

Published on 10 May 2026 - 14:55

score 92 · Answer 15 · 2026-04-11 10:46:26

92

Views

Adjunction of $A$-Module Morphisms

Published on 11 Apr 2026 - 10:46

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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