Show that if $0\longrightarrow L \longrightarrow M \longrightarrow N \longrightarrow 0$ and $L$ and $N$ finite over $A$ implies $M$ is finite over $A$

score 30 · Answer 11 · 2026-04-12 15:38:52

30

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Decomposition of $(\mathbb{Z}/p^r\mathbb{Z})[x]/(f^{(n)}(x))$ into cyclic submodules.

Published on 12 Apr 2026 - 15:38

score 135 · Answer 12 · 2026-04-13 08:11:35

135

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Calculate the minimal and characteristic polynomial of $T$ given the $F[x]$-structure

Published on 13 Apr 2026 - 8:11

score 187 · Answer 13 · 2026-04-14 20:55:32

187

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Show that if $M/M'$ is a torsion module over an integral domain then $M$ is a torsion module

Published on 14 Apr 2026 - 20:55

score 4.1k · Answer 14 · 2026-04-16 09:50:28

4.1k

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If an integral domain $A$ is integrally closed, then so is $A[T]$

Published on 16 Apr 2026 - 9:50

score 155 · Answer 15 · 2026-04-09 20:47:30

155

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Finding the submodule and the endomorphism

Published on 09 Apr 2026 - 20:47

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Show that if $0\longrightarrow L \longrightarrow M \longrightarrow N \longrightarrow 0$ and $L$ and $N$ finite over $A$ implies $M$ is finite over $A$

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