List questions from abstract-algebra

Published on 17 Apr 2026 - 5:33

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$(\mathbb{Q},+)$ has no maximal subgroup.

Published on 11 May 2026 - 23:23

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Are the rings $\mathbb{Q}[x]$ and $\mathbb{Q}[x,y]$ principal ideal domains?

Published on 17 Apr 2026 - 10:06

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Group of order 42 has normal subgroup

Published on 10 May 2026 - 14:35

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Examples of Finite-index Open Subgroups of Idele Class Group

Published on 10 May 2026 - 13:16

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Nonabelian group of order 95

Published on 11 May 2026 - 1:47

182

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irreducible polynomial over finite field.

Published on 13 May 2026 - 15:17

40

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Wording of coset

Published on 12 Apr 2026 - 19:51

256

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Is $\frac{\sqrt3+\sqrt5}{2}$ an algebraic integer?

Published on 11 May 2026 - 0:18

241

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Is $\mathbb{Z}[x]/\langle x^2+x+1, 2\rangle$ a field of order 4?

Published on 10 May 2026 - 15:02

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Let $|G| = p^n$ where $p$ is prime. Show that the number of non-normal subgroups of $G$ is $pm$.

Published on 10 May 2026 - 16:35

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Does exist $f: V \otimes V \to V$ such that $(f(x,y),z) = (x,f(y,z))$?

Published on 14 Apr 2026 - 22:11

69

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A variety defined over field $K$, the ideal $I(V/K)$ is not necessarily prime.

Published on 13 Apr 2026 - 4:54

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Permutation Representations of an Interesting Family of Commutative Algebras

Published on 11 Apr 2026 - 15:06

26

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Defining a suitable Euclidean Ring s.t. $\exists a,b \in \mathbb{Z}$ st $512a + 972b = 4$

Published on 10 May 2026 - 21:57

List Question

Find all integers n such that its root is in Q adjoin root 2

$(\mathbb{Q},+)$ has no maximal subgroup.

Are the rings $\mathbb{Q}[x]$ and $\mathbb{Q}[x,y]$ principal ideal domains?

Group of order 42 has normal subgroup

Examples of Finite-index Open Subgroups of Idele Class Group

Nonabelian group of order 95

irreducible polynomial over finite field.

Wording of coset

Is $\frac{\sqrt3+\sqrt5}{2}$ an algebraic integer?

Is $\mathbb{Z}[x]/\langle x^2+x+1, 2\rangle$ a field of order 4?

Let $|G| = p^n$ where $p$ is prime. Show that the number of non-normal subgroups of $G$ is $pm$.

Does exist $f: V \otimes V \to V$ such that $(f(x,y),z) = (x,f(y,z))$?

A variety defined over field $K$, the ideal $I(V/K)$ is not necessarily prime.

Permutation Representations of an Interesting Family of Commutative Algebras

Defining a suitable Euclidean Ring s.t. $\exists a,b \in \mathbb{Z}$ st $512a + 972b = 4$

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