List questions from projective-module

37

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$\mathrm{Hom}_A(P(1),S(1))$, $\mathrm{Hom}_A(S(1),S(1))$ and $\mathrm{Hom}_A(S(1),I(1))$ as vector spaces

Published on 18 Dec 2023 - 8:46

53

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Let A be a submodule of a projective R-module B, show that A is projective if B/A is projective

Published on 21 Dec 2023 - 17:54

75

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Trouble understanding this paragraph on projective modules

Published on 23 Dec 2023 - 3:45

53

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If $a^{3}=a$ for some non-zero element $a$ in $R$, then the ideal $Ra$ is projective $R$-module

Published on 23 Dec 2023 - 17:39

69

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Are module finite algebras over Noetherian semiperfect rings again semiperfect?

Published on 27 Mar 2026 - 5:38

80

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Prove that $\mathbb{C}$ is not a projective $\mathbb{Z}$-module

Published on 05 Jan 2024 - 4:43

86

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Finitely presented modules and homomorphism modules

Published on 06 Jan 2024 - 16:14

48

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Projective ideals of $\frac{\mathbb{Z}}{180\mathbb{Z}}$

Published on 08 Jan 2024 - 0:53

63

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Free summand of a module vs. finite direct sum of copies of it

Published on 29 Jan 2024 - 9:59

103

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Projective and free modules

Published on 26 Mar 2026 - 13:30

69

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Projective covers

Published on 22 Feb 2024 - 20:08

101

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Determinant of one stably free projective module

Published on 23 Feb 2024 - 13:31

64

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$As + At = A$ $\implies$ $as^k+bt^k=1$

Published on 28 Feb 2024 - 10:45

67

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Is fiber product of $M_s$ , $M_t$ over $M_{st}$ isomorphic to $M$?

Published on 23 Feb 2026 - 8:27

36

Views

Generation of a projective module by fiber product

Published on 23 Feb 2026 - 8:24

List Question

$\mathrm{Hom}_A(P(1),S(1))$, $\mathrm{Hom}_A(S(1),S(1))$ and $\mathrm{Hom}_A(S(1),I(1))$ as vector spaces

Let A be a submodule of a projective R-module B, show that A is projective if B/A is projective

Trouble understanding this paragraph on projective modules

If $a^{3}=a$ for some non-zero element $a$ in $R$, then the ideal $Ra$ is projective $R$-module

Are module finite algebras over Noetherian semiperfect rings again semiperfect?

Prove that $\mathbb{C}$ is not a projective $\mathbb{Z}$-module

Finitely presented modules and homomorphism modules

Projective ideals of $\frac{\mathbb{Z}}{180\mathbb{Z}}$

Free summand of a module vs. finite direct sum of copies of it

Projective and free modules

Projective covers

Determinant of one stably free projective module

$As + At = A$ $\implies$ $as^k+bt^k=1$

Is fiber product of $M_s$ , $M_t$ over $M_{st}$ isomorphic to $M$?

Generation of a projective module by fiber product

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