List questions from abstract-algebra

Published on 12 Apr 2026 - 21:27

407

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localization and tensor product of algebras

Published on 11 Apr 2026 - 11:16

79

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How to formalize "Division by zero" in a proof about groups?

Published on 08 Apr 2026 - 21:35

301

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Centralizers and Generators

Published on 11 Apr 2026 - 1:39

263

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How to prove that $\sqrt{p_n} \notin \mathbb{Q}(\sqrt{p_1},\dots,\sqrt{p_{n-1}})$

Published on 16 Apr 2026 - 4:16

110

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Determine how many subgroup of $G$ if the cardinality given

Published on 15 Apr 2026 - 3:31

94

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How many $n$ such that the ideal $\langle n, x \rangle$ in $\mathbb{Z}{[x]}$ is principal?

Published on 13 Apr 2026 - 20:36

65

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Is every group $G$ such that $\bigcap\limits_nG^{(n)}$ is trivial, solvable?

Published on 29 Apr 2026 - 12:42

110

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Analyzing a function with abstract algebra

Published on 09 Apr 2026 - 12:58

87

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Normal subgroups with an additional property

Published on 16 Apr 2026 - 1:55

669

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Elements of $\mathbb{Z}_{36}$ that do not generate the whole group.

Published on 12 Apr 2026 - 20:54

41

Views

Smooth surface without singular curves

Published on 11 Apr 2026 - 22:49

455

Views

How does 11 split in the ring $\mathbb{Z}[\sqrt[3]{2}]$

Published on 29 Apr 2026 - 12:52

120

Views

Is the quotient field of $R[a]$ equal to $R(a)$?

Published on 13 Apr 2026 - 16:04

206

Views

Is the union of UFD an UFD?

Published on 29 Apr 2026 - 12:44

List Question

Is the cardinality of a Group is equal to the number of cosets of one of it's subgroups?

localization and tensor product of algebras

How to formalize "Division by zero" in a proof about groups?

Centralizers and Generators

How to prove that $\sqrt{p_n} \notin \mathbb{Q}(\sqrt{p_1},\dots,\sqrt{p_{n-1}})$

Determine how many subgroup of $G$ if the cardinality given

How many $n$ such that the ideal $\langle n, x \rangle$ in $\mathbb{Z}{[x]}$ is principal?

Is every group $G$ such that $\bigcap\limits_nG^{(n)}$ is trivial, solvable?

Analyzing a function with abstract algebra

Normal subgroups with an additional property

Elements of $\mathbb{Z}_{36}$ that do not generate the whole group.

Smooth surface without singular curves

How does 11 split in the ring $\mathbb{Z}[\sqrt[3]{2}]$

Is the quotient field of $R[a]$ equal to $R(a)$?

Is the union of UFD an UFD?

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