List questions from projective-module

Published on 30 Mar 2016 - 16:56

1.6k

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Direct proof that infinite product of copies of $\mathbb{Z}$ is not projective

Published on 04 Apr 2016 - 9:05

49

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If $P/I_kP$ are finitely-generated, is it true that $P/IP$ is finitely-generated where $I=\bigcap I_k$?

Published on 08 Apr 2016 - 2:48

109

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Any characterization for commutative rings over which "projective modules" equal "free modules"?

Published on 08 Apr 2016 - 11:15

466

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Projective Dimension and Schanuel's Lemma

Published on 11 Apr 2016 - 1:46

203

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Projections and projective modules of $C(X)$

Published on 25 Mar 2026 - 23:37

1.3k

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Computing (the ring structure of) $\mathrm{Ext}^\bullet_R(k,k)$ for $R=k[x]/(x^2)$

Published on 26 Mar 2026 - 17:31

428

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Natural action of $\mathbb{Z}G$ on $\mathbb{Z}$?

Published on 26 Mar 2026 - 9:42

233

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Lifting homomorphism when module is direct summand of free module

Published on 23 Apr 2016 - 10:35

442

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If every cyclic $R$-module is projective, then $R$ is semisimple.

Published on 23 Feb 2026 - 9:28

1.8k

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Homology group of $CP^n$ and $\mathbb{R}P^n$

Published on 28 Mar 2026 - 8:36

545

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Show that $\mathbb{Z}_2$ is not a free $\mathbb{Z}_6$-module

Published on 17 May 2016 - 10:01

119

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Projective Module equivalence

Published on 29 May 2016 - 16:42

65

Views

Projective Module equivalence proof

Published on 30 May 2016 - 19:30

179

Views

Is $\Bbb Z_2$ free?

Published on 29 Mar 2026 - 4:44

List Question

Composition factors of injective indecomposable and projective indecomposable modules

Direct proof that infinite product of copies of $\mathbb{Z}$ is not projective

If $P/I_kP$ are finitely-generated, is it true that $P/IP$ is finitely-generated where $I=\bigcap I_k$?

Any characterization for commutative rings over which "projective modules" equal "free modules"?

Projective Dimension and Schanuel's Lemma

Projections and projective modules of $C(X)$

Computing (the ring structure of) $\mathrm{Ext}^\bullet_R(k,k)$ for $R=k[x]/(x^2)$

Natural action of $\mathbb{Z}G$ on $\mathbb{Z}$?

Lifting homomorphism when module is direct summand of free module

If every cyclic $R$-module is projective, then $R$ is semisimple.

Homology group of $CP^n$ and $\mathbb{R}P^n$

Show that $\mathbb{Z}_2$ is not a free $\mathbb{Z}_6$-module

Projective Module equivalence

Projective Module equivalence proof

Is $\Bbb Z_2$ free?

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