List questions from abstract-algebra

Published on 15 Apr 2026 - 21:00

228

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number of not identically zero functions

Published on 16 Apr 2026 - 6:47

2.6k

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Proof for the inverse in sub group is as same as inverse in group

Published on 13 Apr 2026 - 17:14

516

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Subring of $R[X]$

Published on 14 Apr 2026 - 4:25

68

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Quotient and remainder of $(X^4 -7X+1)$ modulo $(2X^2+1)$ in $\mathbb Z_7[X]$

Published on 16 Apr 2026 - 6:29

231

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Show that this is a ring homomorphism

Published on 18 Apr 2026 - 13:46

102

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For what irreducible $f\in\mathbb{Q}[X]$ is this sequence periodic modulo $f$?

Published on 16 Apr 2026 - 21:17

127

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Computing the Galois Group and intermediate fields for the extension $\mathbb{Q}(3^{1/4}, \eta_3)/\mathbb{Q}$

Published on 16 Apr 2026 - 15:15

39

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$A\subset\mathbb{C}$ such that if an irreducible $f\in\mathbb{Q}[X]$ has one root in $A$, all roots have to be in $A$.

Published on 16 Apr 2026 - 11:51

92

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How the coproduct defines an action on $X\otimes Y$

Published on 15 Apr 2026 - 5:20

78

Views

What does this paper means by $S$-homomorphism?

Published on 13 Apr 2026 - 4:20

835

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Show that $(n,x)$ is a prime ideal if and only if $n$ is a prime number $(R = \mathbb{Z}[x],n\geq 1$)

Published on 14 Apr 2026 - 18:45

145

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Computing minimal polynomial

Published on 12 Apr 2026 - 2:16

70

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Splitting two exact sequences in a compatible way

Published on 20 Apr 2026 - 2:34

365

Views

Determine all the factorizations of $f(x)=x$ in $\mathbb{Z}/6\mathbb{Z}[x]$.

Published on 13 Apr 2026 - 13:55

List Question

On Group Near-Ring

number of not identically zero functions

Proof for the inverse in sub group is as same as inverse in group

Subring of $R[X]$

Quotient and remainder of $(X^4 -7X+1)$ modulo $(2X^2+1)$ in $\mathbb Z_7[X]$

Show that this is a ring homomorphism

For what irreducible $f\in\mathbb{Q}[X]$ is this sequence periodic modulo $f$?

Computing the Galois Group and intermediate fields for the extension $\mathbb{Q}(3^{1/4}, \eta_3)/\mathbb{Q}$

$A\subset\mathbb{C}$ such that if an irreducible $f\in\mathbb{Q}[X]$ has one root in $A$, all roots have to be in $A$.

How the coproduct defines an action on $X\otimes Y$

What does this paper means by $S$-homomorphism?

Show that $(n,x)$ is a prime ideal if and only if $n$ is a prime number $(R = \mathbb{Z}[x],n\geq 1$)

Computing minimal polynomial

Splitting two exact sequences in a compatible way

Determine all the factorizations of $f(x)=x$ in $\mathbb{Z}/6\mathbb{Z}[x]$.

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