List questions from abstract-algebra

Published on 13 Apr 2026 - 18:06

55

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If $A$ is a noncommutative unital ring and $S = A \setminus \{0\},$ when is $S^{-1}A$ a division ring?

Published on 17 Apr 2026 - 9:20

1.3k

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Suppose $x^2=1$ for all $x \in G$. Prove that $G$ is abelian.

Published on 16 Apr 2026 - 16:34

35

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How to use this special operator?

Published on 08 Apr 2026 - 18:01

514

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Show that for any $g,x \in G$ $|x^{-1} g x | = |xgx^{-1}| = |g|$

Published on 16 Apr 2026 - 3:09

94

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Is this method to solve a system of equations in modular arithmetic correct?

Published on 10 Apr 2026 - 23:19

197

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finding irreducible factors of polynomial in finite field

Published on 09 Apr 2026 - 15:25

51

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Zero Divisions on a ring, integral domains

Published on 15 Apr 2026 - 19:24

148

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Proof of Maximal Ideals are prime ideals

Published on 09 Apr 2026 - 1:07

75

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Greatest common divisor for expression given.

Published on 12 Apr 2026 - 21:09

129

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Group of order $2^{67}$

Published on 15 Apr 2026 - 5:55

138

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Subgroup acting on subsets

Published on 11 Apr 2026 - 17:11

202

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For general $n \in \Bbb N$ , how to determine all groups (both finite and infinite) having exactly $n$ conjugacy classes?

Published on 20 Apr 2026 - 7:56

42

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Help understanding the map $\varphi : \mathbb{C}[x, y] \rightarrow \mathbb{C}[x] \times \mathbb{C}[y] \times \mathbb{C}[t]$

Published on 13 Apr 2026 - 5:33

387

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Zero divisor ax=b Proof reasoning check?

Published on 13 Apr 2026 - 16:29

List Question

All subgroups of a symmetric group

If $A$ is a noncommutative unital ring and $S = A \setminus \{0\},$ when is $S^{-1}A$ a division ring?

Suppose $x^2=1$ for all $x \in G$. Prove that $G$ is abelian.

How to use this special operator?

Show that for any $g,x \in G$ $|x^{-1} g x | = |xgx^{-1}| = |g|$

Is this method to solve a system of equations in modular arithmetic correct?

finding irreducible factors of polynomial in finite field

Zero Divisions on a ring, integral domains

Proof of Maximal Ideals are prime ideals

Greatest common divisor for expression given.

Group of order $2^{67}$

Subgroup acting on subsets

For general $n \in \Bbb N$ , how to determine all groups (both finite and infinite) having exactly $n$ conjugacy classes?

Help understanding the map $\varphi : \mathbb{C}[x, y] \rightarrow \mathbb{C}[x] \times \mathbb{C}[y] \times \mathbb{C}[t]$

Zero divisor ax=b Proof reasoning check?

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