List questions from abstract-algebra

Published on 09 Apr 2026 - 2:23

174

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Orthogonality and Identity Matrix

Published on 11 Apr 2026 - 6:56

122

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A Question Raised about Strong Cayley Theorem

Published on 11 Apr 2026 - 11:56

219

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Show that $m$ is prime if there exists $a\in\Bbb Z$ such that $a^{m-1}\equiv 1\pmod m$

Published on 17 Apr 2026 - 10:00

43

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Does axiom P hold for the set of Rational Polynomials?

Published on 13 Apr 2026 - 6:09

245

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For $Z_5=\{0,1,..4\}$ and $z\in Z_n$. Prove that there exists a multiplicative inverse (except zero)

Published on 16 Apr 2026 - 4:48

92

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values of sums of consecutive integer squares

Published on 12 Apr 2026 - 6:01

139

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Subdirect product of algebras

Published on 16 Apr 2026 - 16:32

487

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Closure in a topological group

Published on 17 Apr 2026 - 9:26

460

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Homomorphism of $k[x]$-modules

Published on 15 Apr 2026 - 14:23

194

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Suppose $H,K$ are subgroups of $G$, what does it mean to write $H \leq K \leq G$?

Published on 14 Apr 2026 - 16:19

144

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'Projectivization' of a map, or applying the preimage theorem to a projective variety

Published on 16 Apr 2026 - 21:57

316

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Why does surjective induced map imply surjective map?

Published on 14 Apr 2026 - 2:51

115

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Suppose that $G$ is a commutative group, and define $f∶G → G$ by $f(a) = a^{−1}$ . Prove or disprove: $f$ is an isomorphism.

Published on 15 Apr 2026 - 23:20

61

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Maximally commuting structure inside a nonabelian Lie group [SU($N$), SO($N$)]

Published on 15 Apr 2026 - 5:02

List Question

A question about unique factorization domain

Orthogonality and Identity Matrix

A Question Raised about Strong Cayley Theorem

Show that $m$ is prime if there exists $a\in\Bbb Z$ such that $a^{m-1}\equiv 1\pmod m$

Does axiom P hold for the set of Rational Polynomials?

For $Z_5=\{0,1,..4\}$ and $z\in Z_n$. Prove that there exists a multiplicative inverse (except zero)

values of sums of consecutive integer squares

Subdirect product of algebras

Closure in a topological group

Homomorphism of $k[x]$-modules

Suppose $H,K$ are subgroups of $G$, what does it mean to write $H \leq K \leq G$?

'Projectivization' of a map, or applying the preimage theorem to a projective variety

Why does surjective induced map imply surjective map?

Suppose that $G$ is a commutative group, and define $f∶G → G$ by $f(a) = a^{−1}$ . Prove or disprove: $f$ is an isomorphism.

Maximally commuting structure inside a nonabelian Lie group [SU($N$), SO($N$)]

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