List questions from abstract-algebra

Published on 10 May 2026 - 19:09

158

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Existence of a group morphism between an arbitrary group and an abelian group.

Published on 13 Apr 2026 - 22:12

262

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$3\mathbb Z$ as a direct summand of $\mathbb Z$

Published on 11 Apr 2026 - 13:13

111

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Notation for $ \mathbb{Z}/ n \mathbb{Z}$, integers mod $n$.

Published on 10 Apr 2026 - 8:32

238

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If $V$ is a $k$-variety of dimension $1$, any proper closed irreducible subset of $V$ is a single point.

Published on 16 Apr 2026 - 13:08

184

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Find a special element in weyl group

Published on 11 May 2026 - 21:32

125

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If $M=f(N)\oplus K$, then there is a left inverse to $f$

Published on 17 Apr 2026 - 7:19

75

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Prove that $f(N)$ is a direct summand

Published on 11 May 2026 - 4:06

42

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Find $\dim_\mathbb{Q} \mathbb{Q}[x]/((x+1)^2)$.

Published on 17 Apr 2026 - 13:53

116

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What a group homomorphism looks like

Published on 11 May 2026 - 6:34

56

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Meaning of $\phi / \theta$ where $\phi$,$\theta$ are congruence relations

Published on 14 Apr 2026 - 0:56

226

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$F_n$ cannot be generated by fewer than $n$ elements

Published on 10 May 2026 - 13:22

686

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Linear independence of indicator functions

Published on 11 May 2026 - 0:38

171

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Submonoid of the set of integers

Published on 10 May 2026 - 12:38

52

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If $f'\circ f=\operatorname{id}_N$, then $f(N)$ is a direct summand

Published on 10 May 2026 - 15:47

List Question

How are these two monomials $u_1u_2^2$ and $u_2u_3^2$ in the same orbit?

Existence of a group morphism between an arbitrary group and an abelian group.

$3\mathbb Z$ as a direct summand of $\mathbb Z$

Notation for $ \mathbb{Z}/ n \mathbb{Z}$, integers mod $n$.

If $V$ is a $k$-variety of dimension $1$, any proper closed irreducible subset of $V$ is a single point.

Find a special element in weyl group

If $M=f(N)\oplus K$, then there is a left inverse to $f$

Prove that $f(N)$ is a direct summand

Find $\dim_\mathbb{Q} \mathbb{Q}[x]/((x+1)^2)$.

What a group homomorphism looks like

Meaning of $\phi / \theta$ where $\phi$,$\theta$ are congruence relations

$F_n$ cannot be generated by fewer than $n$ elements

Linear independence of indicator functions

Submonoid of the set of integers

If $f'\circ f=\operatorname{id}_N$, then $f(N)$ is a direct summand

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