List questions from ideals

Published on 19 Feb 2023 - 3:21

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Understanding a lemma about minimal prime ideals (from McCoy's Rings and Ideals).

Published on 01 Apr 2026 - 5:18

99

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Theorem $17$, Chapter $3$ (Marcus' Number Fields): Every ideal in a Dedekind domain is generated by at most two elements

Published on 25 Mar 2026 - 22:03

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Stone's criterion for distributive lattices

Published on 30 Mar 2026 - 4:38

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Characterize ideals in polynomial ring in terms of ideals in the coefficient ring.

Published on 27 Mar 2026 - 0:03

54

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Kernel of surjective module homomorphism

Published on 01 Mar 2023 - 12:00

48

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If an Ideal I is not finitely generated and then I+(a) is not finitely generated.

Published on 27 Mar 2026 - 23:48

87

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Prime Ideals of Products of $\mathbb Z_p$

Published on 01 Apr 2026 - 6:55

87

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Are there 'Unitary' clifford alegbras in analogy with Orthogonal and Symplectic (Weyl) Algebras?

Published on 25 Mar 2026 - 19:07

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Give an example about associated primes where two containments are proper.

Published on 01 Apr 2026 - 6:54

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Quotient of Graded Algebra is Graded

Published on 25 Mar 2026 - 11:13

79

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Maximal homogeneous ideals in graded ring A[T]

Published on 26 Mar 2026 - 5:16

55

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Simple Zorn Lemma application doubt.

Published on 26 Mar 2026 - 8:14

78

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Is there a way to see that the map $\gamma:V\rightarrow \text{Cl}(V)$ is injective from construction?

Published on 26 Mar 2026 - 12:53

200

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"Simpler" proof of general Nullstellensatz for Jacobson rings.

Published on 01 Apr 2026 - 6:54

List Question

Prove that $\mathbb{Z}[x]/(2,x^3+1)≅\mathbb{Z}_2[x]/(x^3+1)$.

Understanding a lemma about minimal prime ideals (from McCoy's Rings and Ideals).

Theorem $17$, Chapter $3$ (Marcus' Number Fields): Every ideal in a Dedekind domain is generated by at most two elements

Stone's criterion for distributive lattices

Characterize ideals in polynomial ring in terms of ideals in the coefficient ring.

Kernel of surjective module homomorphism

If an Ideal I is not finitely generated and then I+(a) is not finitely generated.

Prime Ideals of Products of $\mathbb Z_p$

Are there 'Unitary' clifford alegbras in analogy with Orthogonal and Symplectic (Weyl) Algebras?

Give an example about associated primes where two containments are proper.

Quotient of Graded Algebra is Graded

Maximal homogeneous ideals in graded ring A[T]

Simple Zorn Lemma application doubt.

Is there a way to see that the map $\gamma:V\rightarrow \text{Cl}(V)$ is injective from construction?

"Simpler" proof of general Nullstellensatz for Jacobson rings.

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