List questions from ring-theory

Published on 11 Apr 2026 - 4:41

78

Views

$x^4-t^4$ irreducible over $\mathbb{C}(t^4)$

Published on 17 Apr 2026 - 8:36

102

Views

Is prime ideal equivalent to cannot be factored into 2 proper ideals?

Published on 11 Apr 2026 - 10:50

58

Views

Checking positivity of trace of a certain quaternion in $\mathbb{B}_{\ell,\infty}$

Published on 13 Apr 2026 - 15:08

77

Views

$S^{−1} I = 0$ if and only if there exists an $s ∈ S$ such that $s I = 0$

Published on 27 Mar 2026 - 17:04

162

Views

Prime elements in localisation

Published on 27 Mar 2026 - 15:35

75

Views

Primary decomposition for an ideal

Published on 01 Apr 2026 - 10:38

48

Views

Let $I,J $ ideals of $R$ is $(IJ)[X] = I[X]J[X]$ true?

Published on 14 Apr 2026 - 14:54

129

Views

Expressing a Polynomial as a Sum of Squares Of Polynomials

Published on 12 Apr 2026 - 19:19

249

Views

Ambiguity about forms of the first Weyl Algebra.

Published on 24 Apr 2026 - 8:13

100

Views

Prove that any free module with finite basis is projective

Published on 16 Apr 2026 - 10:50

95

Views

How to show that $I = \langle x^2+2\rangle \subseteq \mathbb{Z}[x]$ is a prime ideal WITHOUT proving that $x^2+2$ is irreducible?

Published on 13 Apr 2026 - 19:53

72

Views

Correspondence of ideals between rings

Published on 10 Apr 2026 - 18:51

696

Views

Ring of formal power series over $\mathbb{R}.$

Published on 26 Mar 2026 - 3:02

218

Views

Show that if $R/A$ is IBN then $R$ is IBN.

Published on 25 Mar 2026 - 16:40

List Question

Subring of continuous function

$x^4-t^4$ irreducible over $\mathbb{C}(t^4)$

Is prime ideal equivalent to cannot be factored into 2 proper ideals?

Checking positivity of trace of a certain quaternion in $\mathbb{B}_{\ell,\infty}$

$S^{−1} I = 0$ if and only if there exists an $s ∈ S$ such that $s I = 0$

Prime elements in localisation

Primary decomposition for an ideal

Let $I,J $ ideals of $R$ is $(IJ)[X] = I[X]J[X]$ true?

Expressing a Polynomial as a Sum of Squares Of Polynomials

Ambiguity about forms of the first Weyl Algebra.

Prove that any free module with finite basis is projective

How to show that $I = \langle x^2+2\rangle \subseteq \mathbb{Z}[x]$ is a prime ideal WITHOUT proving that $x^2+2$ is irreducible?

Correspondence of ideals between rings

Ring of formal power series over $\mathbb{R}.$

Show that if $R/A$ is IBN then $R$ is IBN.

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