List questions from modules

Published on 13 Apr 2026 - 7:24

166

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Compatibility of two definitions of the projective class group of a group ring

Published on 15 Apr 2026 - 4:33

44

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Calculate ($a / b$ mod $R$) from ($a$ mod $R$) and ($b$ mod $R$)

Published on 17 Apr 2026 - 1:10

653

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Internal/external direct sum

Published on 12 Apr 2026 - 23:40

66

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how ${\{1, -1}\}$ is the basis for $\mathbb{Z}$?

Published on 12 Apr 2026 - 8:09

1k

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Prove that a torsion module over a PID equals direct sum of its primary components

Published on 13 Apr 2026 - 19:10

69

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Extension of fractional ideals

Published on 12 Apr 2026 - 5:28

1.4k

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Show that any direct sum of free $R$-modules is free.

Published on 12 Apr 2026 - 15:20

141

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$K(x,S)\cong K(f(x),S)?$

Published on 18 Apr 2026 - 2:59

451

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Direct Sum of Projective and Free Modules

Published on 14 Apr 2026 - 12:47

604

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Hilbert's Syzygy Theorem: Free resolutions

Published on 10 Apr 2026 - 14:34

145

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PCI-ring which is not semisimple .

Published on 12 Apr 2026 - 4:23

315

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2-Category of Algebras

Published on 17 Apr 2026 - 2:04

196

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A prime ring whose socle is nonzero and of finite length is simple Artinian.

Published on 09 Apr 2026 - 8:27

217

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Map from exterior power to the tensor product

Published on 16 Apr 2026 - 3:06

List Question

Reducible modules and representations

Compatibility of two definitions of the projective class group of a group ring

Calculate ($a / b$ mod $R$) from ($a$ mod $R$) and ($b$ mod $R$)

Internal/external direct sum

how ${\{1, -1}\}$ is the basis for $\mathbb{Z}$?

Prove that a torsion module over a PID equals direct sum of its primary components

Extension of fractional ideals

Show that any direct sum of free $R$-modules is free.

$K(x,S)\cong K(f(x),S)?$

Direct Sum of Projective and Free Modules

Hilbert's Syzygy Theorem: Free resolutions

PCI-ring which is not semisimple .

2-Category of Algebras

A prime ring whose socle is nonzero and of finite length is simple Artinian.

Map from exterior power to the tensor product

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