Question

Symmetric Algebra and Extension of Scalars

score 259 · Answer 1 · 2014-08-28 15:24:02

259

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Symmetric Algebra and Extension of Scalars

Published on 28 Aug 2014 - 15:24

score 1k · Answer 2 · 2026-03-26 01:07:55

1k

Views

Proof of the theorem: Any $R$-module is contained in an $R$-injective module

Published on 26 Mar 2026 - 1:07

score 1.3k · Answer 3 · 2014-09-01 02:26:44

1.3k

Views

Proof of ${\rm Tor}\ (A,B)={\rm Tor}\ (B,A)$

Published on 01 Sep 2014 - 2:26

score 32 · Answer 4 · 2026-03-25 22:26:33

32

Views

Left and right module on the cohomology of a sheaf

Published on 25 Mar 2026 - 22:26

score 61 · Answer 5 · 2026-03-26 11:01:09

61

Views

What maps of $k$-algebras $A\to B$ induce finite maps $\mathrm{Ext}_B^(k,k)\to\mathrm{Ext}_A^(k,k)$?

Published on 26 Mar 2026 - 11:01

score 366 · Answer 6 · 2026-03-24 23:48:11

366

Views

Can the integral group ring construction be extended to groupoids in such a way that it provides a functor from Groupoids to Rings?

Published on 24 Mar 2026 - 23:48

score 105 · Answer 7 · 2014-09-07 15:00:07

105

Views

Show that the homomorphism $\lambda: k[X] \to End_k(V) : p \mapsto p(A)$ corresponding to the $k[X]$-module strucutre of $V$ has a nontrivial kernel.

Published on 07 Sep 2014 - 15:00

score 911 · Answer 8 · 2014-09-07 22:13:20

911

Views

tensor an exact sequence

Published on 07 Sep 2014 - 22:13

score 63 · Answer 9 · 2014-09-08 11:53:15

63

Views

Proof of $0\rightarrow A^G\stackrel{f}\rightarrow B^G\stackrel{h}\rightarrow C^G\rightarrow 0$

Published on 08 Sep 2014 - 11:53

score 104 · Answer 10 · 2026-03-27 16:55:19

104

Views

Algebraic K-theory: Categories of modules and their equivalences

Published on 27 Mar 2026 - 16:55

score 2.4k · Answer 11 · 2026-04-05 20:39:17

2.4k

Views

Why do we define modules to be over abelian groups?

Published on 05 Apr 2026 - 20:39

score 77 · Answer 12 · 2014-09-09 11:40:21

77

Views

The difference between the free $A$-module $A^{(M\times N)}$, and $M\times N$

Published on 09 Sep 2014 - 11:40

score 199 · Answer 13 · 2014-09-09 12:32:20

199

Views

If $I$ and $J$ are distinct maximal ideals of $R$, any module homomorphism $R/I\to R/J$ is zero.

Published on 09 Sep 2014 - 12:32

score 37 · Answer 14 · 2014-09-09 23:30:21

37

Views

Characterization of Zero in a module

Published on 09 Sep 2014 - 23:30

score 42 · Answer 15 · 2026-03-27 13:45:28

42

Views

on basic theory over $\mathbb{Z}_4$-linear codes

Published on 27 Mar 2026 - 13:45

List Question

Symmetric Algebra and Extension of Scalars

Proof of the theorem: Any $R$-module is contained in an $R$-injective module

Proof of ${\rm Tor}\ (A,B)={\rm Tor}\ (B,A)$

Left and right module on the cohomology of a sheaf

What maps of $k$-algebras $A\to B$ induce finite maps $\mathrm{Ext}_B^(k,k)\to\mathrm{Ext}_A^(k,k)$?

Can the integral group ring construction be extended to groupoids in such a way that it provides a functor from Groupoids to Rings?

Show that the homomorphism $\lambda: k[X] \to End_k(V) : p \mapsto p(A)$ corresponding to the $k[X]$-module strucutre of $V$ has a nontrivial kernel.

tensor an exact sequence

Proof of $0\rightarrow A^G\stackrel{f}\rightarrow B^G\stackrel{h}\rightarrow C^G\rightarrow 0$

Algebraic K-theory: Categories of modules and their equivalences

Why do we define modules to be over abelian groups?

The difference between the free $A$-module $A^{(M\times N)}$, and $M\times N$

If $I$ and $J$ are distinct maximal ideals of $R$, any module homomorphism $R/I\to R/J$ is zero.

Characterization of Zero in a module

on basic theory over $\mathbb{Z}_4$-linear codes

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