List questions from ideals

Published on 09 Apr 2026 - 5:59

142

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Prove that $x^2+I=-1+I$

Published on 11 Jan 2024 - 10:06

31

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Numerically extracting generators of polynomial ideal from witness sets of an algebraic variety

Published on 27 Mar 2026 - 14:22

82

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Construct maximal ideal in multivariate polynomial ring

Published on 01 Apr 2026 - 16:21

15

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Noncommutative Nakayama's Lemma for Maximal Ideal Inclusion

Published on 04 Mar 2026 - 22:58

74

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Can ideals and left ideals contract after multiplication?

Published on 16 Jan 2024 - 11:15

69

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An ideal between intersection of two ideals and the product of those ideals

Published on 28 Mar 2026 - 5:22

67

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Going-up theorem: isn't it an obvious corollary of Theorem 5.10 (Atiyah)?

Published on 09 Apr 2026 - 13:55

69

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Describe all left ideals of $R = (\begin{smallmatrix} \mathbb{Q} & \mathbb{Q} \\ 0 & \mathbb{Q} \end{smallmatrix})$

Published on 23 Jan 2024 - 12:52

46

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Show quotient of ideals is Noetherian

Published on 27 Mar 2026 - 5:39

51

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Dominating rings: $\mathfrak{m}_A=A\cap \mathfrak{m}_B\Longleftrightarrow \mathfrak{m}_A\subset \mathfrak{m}_B$

Published on 25 Mar 2026 - 21:48

53

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ID's, PID's, Noetherian rings and valuation rings: implications amongst them

Published on 26 Mar 2026 - 22:53

48

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Example of non-graded ideal

Published on 26 Mar 2026 - 11:47

53

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Is the intersection of a homogenous ideal with a non homogenous ideal homogenous?

Published on 26 Mar 2026 - 13:30

110

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On the bijection between homogenous prime ideals of $A_f$ and prime ideals of $(A_f)_0$

Published on 25 Mar 2026 - 15:52

List Question

How to prove an ideal is not principal?

Prove that $x^2+I=-1+I$

Numerically extracting generators of polynomial ideal from witness sets of an algebraic variety

Construct maximal ideal in multivariate polynomial ring

Noncommutative Nakayama's Lemma for Maximal Ideal Inclusion

Can ideals and left ideals contract after multiplication?

An ideal between intersection of two ideals and the product of those ideals

Going-up theorem: isn't it an obvious corollary of Theorem 5.10 (Atiyah)?

Describe all left ideals of $R = (\begin{smallmatrix} \mathbb{Q} & \mathbb{Q} \\ 0 & \mathbb{Q} \end{smallmatrix})$

Show quotient of ideals is Noetherian

Dominating rings: $\mathfrak{m}_A=A\cap \mathfrak{m}_B\Longleftrightarrow \mathfrak{m}_A\subset \mathfrak{m}_B$

ID's, PID's, Noetherian rings and valuation rings: implications amongst them

Example of non-graded ideal

Is the intersection of a homogenous ideal with a non homogenous ideal homogenous?

On the bijection between homogenous prime ideals of $A_f$ and prime ideals of $(A_f)_0$

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