List questions from abstract-algebra

Published on 16 Apr 2026 - 11:12

45

Views

Is the order of $ab^{-1}$ larger than $m$?

Published on 13 Apr 2026 - 18:21

356

Views

Group Theory: Alternate proof of the 2nd Isomorphism Theorem

Published on 13 Apr 2026 - 21:50

43

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Define an equivalence relation $\sim$ on $G$ by: $a\sim b$ if and only if $a^{-1}b\in H$. Prove that: $[a]=aH$.

Published on 16 Apr 2026 - 14:54

196

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To show two formal power series equal

Published on 18 Apr 2026 - 1:54

525

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Question about the proof of the diamond isomorphism theorem on modular lattice

Published on 22 Apr 2026 - 11:02

136

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Power of a cycle $\sigma$

Published on 12 Apr 2026 - 14:05

183

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Proving that $x\notin\mathbb{m}\implies$ $x$ is a unit, where $\mathbb{m}$ is a unique maximal ideal of $R$

Published on 14 Apr 2026 - 16:35

269

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A question about the proof of Ito's theorem (Metabelian)

Published on 09 Apr 2026 - 16:24

348

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Group theory - inverses: $(a^{-1})^n=(a^n)^{-1}$

Published on 16 Apr 2026 - 2:59

62

Views

Is every algebra generated by some elements $\mathbb{Z}_2$-graded?

Published on 20 Apr 2026 - 11:52

132

Views

Subgroup problem with permutations

Published on 12 Apr 2026 - 8:13

857

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Characteristic polynomial for the frobenious map.

Published on 13 Apr 2026 - 22:32

45

Views

Can a collection of weighted graphs form a semiring?

Published on 20 Apr 2026 - 11:49

780

Views

Can I skip part III in Dummit and Foote?

Published on 19 Apr 2026 - 18:34

List Question

$K[α]$ is isomorphic to a field extension of $K[T]$

Is the order of $ab^{-1}$ larger than $m$?

Group Theory: Alternate proof of the 2nd Isomorphism Theorem

Define an equivalence relation $\sim$ on $G$ by: $a\sim b$ if and only if $a^{-1}b\in H$. Prove that: $[a]=aH$.

To show two formal power series equal

Question about the proof of the diamond isomorphism theorem on modular lattice

Power of a cycle $\sigma$

Proving that $x\notin\mathbb{m}\implies$ $x$ is a unit, where $\mathbb{m}$ is a unique maximal ideal of $R$

A question about the proof of Ito's theorem (Metabelian)

Group theory - inverses: $(a^{-1})^n=(a^n)^{-1}$

Is every algebra generated by some elements $\mathbb{Z}_2$-graded?

Subgroup problem with permutations

Characteristic polynomial for the frobenious map.

Can a collection of weighted graphs form a semiring?

Can I skip part III in Dummit and Foote?

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