List questions from projective-module

Published on 25 Mar 2026 - 11:12

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Inner product in module theory

Published on 28 Jun 2018 - 16:47

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Prove that no $\mathbb{Z}$-module is both projective and injective

Published on 25 Mar 2026 - 14:41

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If $R$ is a Dedekind domain and $I, J \triangleleft R$, then $R^d \oplus I \simeq R^{d'} \oplus J$ implies $d = d'$ and $I \simeq J$

Published on 25 Mar 2026 - 7:45

192

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projective resolution of bimodules

Published on 29 Jul 2018 - 15:19

109

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Grassmannian as a functor and the rank of a projective module.

Published on 25 Mar 2026 - 1:37

657

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Projective Resolution of $C[x,y,t]/(x^2+y^2-t)$

Published on 25 Mar 2026 - 1:37

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Projective and flat vs. faithfully flat

Published on 25 Mar 2026 - 17:29

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When limits preserve projectivity

Published on 09 Aug 2018 - 16:55

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Are these two definitions stably isomorphic modules / $K_0(A)$ equivalent?

Published on 22 Mar 2026 - 11:02

190

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Categorical Kernel is Module Kernel

Published on 25 Mar 2026 - 12:45

819

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Enough injectives in the category of chain complexes

Published on 25 Mar 2026 - 11:06

305

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Radical of projective modules

Published on 28 Aug 2018 - 3:24

242

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Prove that $A \otimes_{\mathrm{R}} B$ is a projective $\mathbb{Z}$- module.

Published on 28 Aug 2018 - 18:27

424

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P is a projective module. Prove that there exists $F$ free such that $P \oplus F \cong F$

Published on 25 Mar 2026 - 1:40

List Question

Conditions on a Module Implied by $\mathrm{Ext}^1 = 0$

Inner product in module theory

Prove that no $\mathbb{Z}$-module is both projective and injective

If $R$ is a Dedekind domain and $I, J \triangleleft R$, then $R^d \oplus I \simeq R^{d'} \oplus J$ implies $d = d'$ and $I \simeq J$

projective resolution of bimodules

Grassmannian as a functor and the rank of a projective module.

Projective Resolution of $C[x,y,t]/(x^2+y^2-t)$

Projective and flat vs. faithfully flat

When limits preserve projectivity

Are these two definitions stably isomorphic modules / $K_0(A)$ equivalent?

Categorical Kernel is Module Kernel

Enough injectives in the category of chain complexes

Radical of projective modules

Prove that $A \otimes_{\mathrm{R}} B$ is a projective $\mathbb{Z}$- module.

P is a projective module. Prove that there exists $F$ free such that $P \oplus F \cong F$

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