Question

$R$ is artinian algebra, $M$ is $R$-mod with $pd_R(M)=1$. Then projective cover $P\to M\to 0$ kernel contained in projective submodule?

score 37 · Answer 1 · 2019-08-27 18:32:48

37

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$R$ is artinian algebra, $M$ is $R$-mod with $pd_R(M)=1$. Then projective cover $P\to M\to 0$ kernel contained in projective submodule?

Published on 27 Aug 2019 - 18:32

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104

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91

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171

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score 104 · Answer 5 · 2019-08-29 15:15:51

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324

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score 52 · Answer 7 · 2019-09-01 14:53:45

52

Views

Prove that $\operatorname{Kom}_0(\mathcal{A})$ is a equivalence of category of $D(\mathcal{A})$

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score 162 · Answer 8 · 2019-09-02 01:01:35

162

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836

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score 81 · Answer 10 · 2019-09-02 19:20:03

81

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105

Views

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score 234 · Answer 12 · 2019-09-04 18:29:17

234

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417

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159

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score 157 · Answer 15 · 2019-09-08 04:46:41

157

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List Question

$R$ is artinian algebra, $M$ is $R$-mod with $pd_R(M)=1$. Then projective cover $P\to M\to 0$ kernel contained in projective submodule?

what $Hom(\mathbb{Z}\oplus\mathbb{Z}, \mathbb{Z}/2)$ is?

When the contravariant Hom functor of two finite type integral $k$-schemes are isomorphic on points

Confusion on meaning in Bott and Tu on Spectral Sequences

Additive inverse and transitivity in Ext$^n(B,A)$

Finding Chain Homotopy

Prove that $\operatorname{Kom}_0(\mathcal{A})$ is a equivalence of category of $D(\mathcal{A})$

Why there are minus signs in rotation of exact triangle?

Every short exact sequence splits implies object is projective?

Is it possible to realize the induced homomorphism easier?

What does it mean for "The cycles to be a direct summand in the chains"?

Why does $ \mathrm{Tor}_0^R(M,N)\cong M\otimes_R N $

Derived tensor product and cohomology

On the ring structure of $K_0$ of the punctured spectrum of a regular local ring

Calculating Tor for an R[t]-module

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