List questions from abstract-algebra

Published on 15 Apr 2026 - 7:20

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Galois Group of $x^p-1$ cyclic

Published on 15 Apr 2026 - 11:42

582

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$M$ is a cyclic module if and only if it has a single invariant factor

Published on 14 Apr 2026 - 18:31

1k

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Is $(\mathbb{Z}, +)$ isomorphic to $(\mathbb{R}, +)$

Published on 09 Apr 2026 - 2:50

115

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What's that process called where you form new group law by $x \star y = x \cdot a \cdot y$ for some $a$ in the group?

Published on 14 Apr 2026 - 23:58

128

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Are all elements of a quaternion algebra regular elliptic semisimple?

Published on 14 Apr 2026 - 15:15

412

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Finding a homomorphism from a polynomial to matrix

Published on 23 Apr 2026 - 6:34

37

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Two discriminants

Published on 12 Apr 2026 - 0:22

226

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$\phi: A^n \to A^n$ be any injective $A$ linear map,will $\phi$ be surjective?

Published on 17 Apr 2026 - 3:38

137

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Example of ring that contains an infinite chain of principal ideal

Published on 14 Apr 2026 - 3:43

110

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Any set of $n$ linearly independent elements in $A^n$ form a basis.

Published on 16 Apr 2026 - 18:37

73

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Is it possible to find $\gamma \in \Bbb S_{10}$ based on given $\gamma^2$?

Published on 11 Apr 2026 - 17:45

105

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How can I find the subgroups of $S_n$?

Published on 16 Apr 2026 - 21:30

928

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The Galois group is $\mathbb{Z_{4}}$ if and only if $\frac{\alpha}{\beta}-\frac{\beta}{\alpha}\in\mathbb{Q}$

Published on 14 Apr 2026 - 7:42

259

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Tensor product that is not $0$

Published on 10 Apr 2026 - 21:59

List Question

Existence of matrix with certain property over a finite field

Galois Group of $x^p-1$ cyclic

$M$ is a cyclic module if and only if it has a single invariant factor

Is $(\mathbb{Z}, +)$ isomorphic to $(\mathbb{R}, +)$

What's that process called where you form new group law by $x \star y = x \cdot a \cdot y$ for some $a$ in the group?

Are all elements of a quaternion algebra regular elliptic semisimple?

Finding a homomorphism from a polynomial to matrix

Two discriminants

$\phi: A^n \to A^n$ be any injective $A$ linear map,will $\phi$ be surjective?

Example of ring that contains an infinite chain of principal ideal

Any set of $n$ linearly independent elements in $A^n$ form a basis.

Is it possible to find $\gamma \in \Bbb S_{10}$ based on given $\gamma^2$?

How can I find the subgroups of $S_n$?

The Galois group is $\mathbb{Z_{4}}$ if and only if $\frac{\alpha}{\beta}-\frac{\beta}{\alpha}\in\mathbb{Q}$

Tensor product that is not $0$

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