List questions from abstract-algebra

Published on 15 Apr 2026 - 6:14

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Find all elements in a cyclic group of a specific order?

Published on 16 Apr 2026 - 14:01

109

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Proof of a Symmetric-Like Expression

Published on 10 May 2026 - 19:10

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Does a finitely generated module have finite rank?

Published on 14 Apr 2026 - 2:06

32

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Proof verification: Let $N,P_1,P_2$ be submodules of $M$, show that $P_1 = P_2$

Published on 16 Apr 2026 - 7:26

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Projective module that isn't free

Published on 16 Apr 2026 - 7:23

70

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$f: M' \otimes N \rightarrow M \otimes N$ that is not injective

Published on 16 Apr 2026 - 14:20

81

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Understanding natural isomorphisms

Published on 09 Apr 2026 - 10:06

208

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Meaning of isomorphism of vector spaces depending on basis

Published on 25 Apr 2026 - 2:34

56

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all integers for which $(\mathbb{Z}/n\mathbb{Z})^*$ is cyclic of order 4

Published on 13 Apr 2026 - 4:02

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Find the universal covering of $\mathbb{R}P^2\vee\mathbb{R}P^2$

Published on 10 May 2026 - 15:09

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A simple example illustrating subgroup correspondence theorem

Published on 15 Apr 2026 - 12:55

199

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If F is a finite field, then $F^F=P_F$.

Published on 16 Apr 2026 - 21:36

458

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Isomorphism of groups with complex numbers

Published on 14 May 2026 - 10:09

228

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Problem trying to find kernel of a linear transformation

Published on 09 Apr 2026 - 21:35

List Question

If $G$ is $k$-transitive but not $(k+1)$-transitive, is it true that $G$ is sharply $k$-transitive?

Find all elements in a cyclic group of a specific order?

Proof of a Symmetric-Like Expression

Does a finitely generated module have finite rank?

Proof verification: Let $N,P_1,P_2$ be submodules of $M$, show that $P_1 = P_2$

Projective module that isn't free

$f: M' \otimes N \rightarrow M \otimes N$ that is not injective

Understanding natural isomorphisms

Meaning of isomorphism of vector spaces depending on basis

all integers for which $(\mathbb{Z}/n\mathbb{Z})^*$ is cyclic of order 4

Find the universal covering of $\mathbb{R}P^2\vee\mathbb{R}P^2$

A simple example illustrating subgroup correspondence theorem

If F is a finite field, then $F^F=P_F$.

Isomorphism of groups with complex numbers

Problem trying to find kernel of a linear transformation

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