List questions from ring-theory

Published on 25 Mar 2026 - 6:06

949

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$x^3 - 3x - 1$ irreducible in $\mathbb Z[x]$ by Gauss Lemma

Published on 26 Mar 2026 - 17:13

113

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On monomial ideals and ring generated by monomials

Published on 25 Mar 2026 - 23:09

472

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coprime ideals in $K[X]$

Published on 25 Mar 2026 - 10:52

54

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Two orders on projections in $M_2(\mathbb{F}_3)$

Published on 28 Mar 2026 - 4:33

317

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How to prove directly sum of non zero divisor and nilpotent is again non zero divisor?

Published on 10 Feb 2019 - 8:13

56

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Find quantity of elements in group with given order

Published on 10 Feb 2019 - 10:56

225

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A problem on existence of a zero of a polynomial in a finite field

Published on 10 Feb 2019 - 14:09

63

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Solve the equations $x^2= x,~x^2=1$ and $x^{32}=1$ on $\mathbb{Z}_{128}$

Published on 10 Feb 2019 - 16:12

246

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Prove a ring isomorphism of stalks

Published on 10 Feb 2019 - 16:42

192

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Is every ideal in $K[x, y]$ of finite codimension necessarily prime?

Published on 10 Feb 2019 - 20:28

202

Views

GCDs for the polynomial ring over a Galois field.

Published on 25 Mar 2026 - 10:55

748

Views

Why is $(a+b)^p = a^p+b^p$, where $a,b \in R$, a commutative ring with prime characteristic $p$?

Published on 10 Feb 2019 - 22:12

173

Views

Irreducible polynomial in $\mathbb C[x_1,x_2]$ also irreducible in $\mathbb C[x_1,x_2,...x_r]$?

Published on 26 Mar 2026 - 17:13

49

Views

Is it true "If $X \subset Y$ then $\Bbb I(Y) \subset \Bbb I(X)$"(proper inclusion)?

Published on 30 Mar 2026 - 11:37

List Question

Lang's Algebra: definition of $F[\alpha]$ and why it's an integral domain?

$x^3 - 3x - 1$ irreducible in $\mathbb Z[x]$ by Gauss Lemma

On monomial ideals and ring generated by monomials

coprime ideals in $K[X]$

Two orders on projections in $M_2(\mathbb{F}_3)$

How to prove directly sum of non zero divisor and nilpotent is again non zero divisor?

Find quantity of elements in group with given order

A problem on existence of a zero of a polynomial in a finite field

Solve the equations $x^2= x,~x^2=1$ and $x^{32}=1$ on $\mathbb{Z}_{128}$

Prove a ring isomorphism of stalks

Is every ideal in $K[x, y]$ of finite codimension necessarily prime?

GCDs for the polynomial ring over a Galois field.

Why is $(a+b)^p = a^p+b^p$, where $a,b \in R$, a commutative ring with prime characteristic $p$?

Irreducible polynomial in $\mathbb C[x_1,x_2]$ also irreducible in $\mathbb C[x_1,x_2,...x_r]$?

Is it true "If $X \subset Y$ then $\Bbb I(Y) \subset \Bbb I(X)$"(proper inclusion)?

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