List questions from abstract-algebra

Published on 23 Apr 2026 - 2:27

63

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Multiplication-like binary operator based on Maclaurin series of functions

Published on 17 Apr 2026 - 1:10

39

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Chain of modules

Published on 15 Apr 2026 - 2:28

109

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Definition of tensor product and universal property contradiction

Published on 10 Apr 2026 - 21:19

27

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how to find a matrix relative to a basis

Published on 12 Apr 2026 - 5:06

495

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Sum of Annihilators

Published on 13 Apr 2026 - 16:42

185

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Annihilator of a Ring with Module Structure Induced by a Homomorphism

Published on 11 Apr 2026 - 14:46

93

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Invariant factor decomposition of $\mathbb{Z}_6 \otimes_{\mathbb{Z}} \mathbb{Z}_9$

Published on 21 Apr 2026 - 8:41

452

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Proof verification: For isomorphism $\phi: G\to H$, $G$ is abelian iff $H$ is abelian.

Published on 10 Apr 2026 - 21:25

94

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Existence of a particular arithmetic function.

Published on 12 Apr 2026 - 10:36

1.6k

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Proof verification: For isomorphism $\phi : G\to H$, show that if $e_{G}\in G$ and $e_{H}\in H$, then $\phi (e_{G})=e_{H}$.

Published on 12 Apr 2026 - 1:45

153

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Undergraduate algebra problem of field theory

Published on 09 Apr 2026 - 7:01

154

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$|G|<\infty$ and $|X|<\infty$ a $G$-set $\Rightarrow \bigcap_{g \in G}Fix(g)\not= \emptyset$

Published on 15 Apr 2026 - 11:41

187

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Why $X_{2n}$ when $n=3k$ has order $6$?

Published on 15 Apr 2026 - 1:18

186

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1-1 correspondence between homomorphisms and the range of the homomorphisms

Published on 16 Apr 2026 - 9:44

List Question

Constructive proof of existence of maximal ideal

Multiplication-like binary operator based on Maclaurin series of functions

Chain of modules

Definition of tensor product and universal property contradiction

how to find a matrix relative to a basis

Sum of Annihilators

Annihilator of a Ring with Module Structure Induced by a Homomorphism

Invariant factor decomposition of $\mathbb{Z}_6 \otimes_{\mathbb{Z}} \mathbb{Z}_9$

Proof verification: For isomorphism $\phi: G\to H$, $G$ is abelian iff $H$ is abelian.

Existence of a particular arithmetic function.

Proof verification: For isomorphism $\phi : G\to H$, show that if $e_{G}\in G$ and $e_{H}\in H$, then $\phi (e_{G})=e_{H}$.

Undergraduate algebra problem of field theory

$|G|<\infty$ and $|X|<\infty$ a $G$-set $\Rightarrow \bigcap_{g \in G}Fix(g)\not= \emptyset$

Why $X_{2n}$ when $n=3k$ has order $6$?

1-1 correspondence between homomorphisms and the range of the homomorphisms

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