List questions from abstract-algebra

Published on 14 Apr 2026 - 3:42

351

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Group ring confusion

Published on 20 Apr 2026 - 2:53

55

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Free $R$-modules

Published on 15 Apr 2026 - 9:30

132

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Define $φ:\mathbb{C}[x,y]\to\mathbb{C}[x]\times\mathbb{C}[y]\times\mathbb{C}[t]$

Published on 13 Apr 2026 - 20:32

821

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Suppose M is a module over integral domain R. If M is generated by k elements, then $rank(M) \leq k$ (Confirm my proof ?)

Published on 17 Apr 2026 - 11:14

1.5k

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Direct sum of categories

Published on 14 Apr 2026 - 3:29

1.6k

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Order of an element in a finite Group

Published on 16 Apr 2026 - 22:35

603

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Question about how we define permutation group and symmetric group

Published on 11 Apr 2026 - 21:35

249

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Cayley graphs and groups

Published on 15 Apr 2026 - 12:16

247

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Is it formally right to say that $\Bbb N \subset \Bbb Z$ etc?

Published on 16 Apr 2026 - 23:29

96

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Why isn't this a counterexample to the division algorithm for polynomials?

Published on 15 Apr 2026 - 11:16

77

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Is a map given by a function from the ring of global regular functions a morphism?

Published on 12 Apr 2026 - 3:20

126

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Characteristic of a Ring Problem

Published on 11 Apr 2026 - 6:46

181

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Prove that for all elements $a$ of a group, $a^k a^l = a^{k+l}$ for all $k,l \in \mathbb{Z}$

Published on 15 Apr 2026 - 3:21

144

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What math do I need to learn to create a general equation solver?

Published on 20 Apr 2026 - 10:11

List Question

Every irreducible polynomial over a finite field is separable

Group ring confusion

Free $R$-modules

Define $φ:\mathbb{C}[x,y]\to\mathbb{C}[x]\times\mathbb{C}[y]\times\mathbb{C}[t]$

Suppose M is a module over integral domain R. If M is generated by k elements, then $rank(M) \leq k$ (Confirm my proof ?)

Direct sum of categories

Order of an element in a finite Group

Question about how we define permutation group and symmetric group

Cayley graphs and groups

Is it formally right to say that $\Bbb N \subset \Bbb Z$ etc?

Why isn't this a counterexample to the division algorithm for polynomials?

Is a map given by a function from the ring of global regular functions a morphism?

Characteristic of a Ring Problem

Prove that for all elements $a$ of a group, $a^k a^l = a^{k+l}$ for all $k,l \in \mathbb{Z}$

What math do I need to learn to create a general equation solver?

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