Question

Uniqueness of a commutative ring as finite direct sum of indecomposable ideals

score 147 · Answer 1 · 2026-03-29 05:12:23

147

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Uniqueness of a commutative ring as finite direct sum of indecomposable ideals

Published on 29 Mar 2026 - 5:12

score 58 · Answer 2 · 2026-04-02 05:30:33

58

Views

Characterisation of non-closed ideals in $C[0,1]$

Published on 02 Apr 2026 - 5:30

score 67 · Answer 3 · 2026-03-25 17:26:10

67

Views

Would this be correct to prove that two ideals are equal?

Published on 25 Mar 2026 - 17:26

score 40 · Answer 4 · 2026-03-25 17:21:52

40

Views

How is the reduced Groebner base of the ideal of an inconsistent polynomial system of equations?

Published on 25 Mar 2026 - 17:21

score 64 · Answer 5 · 2026-03-26 17:28:45

64

Views

simplicial complexes and associated ideals

Published on 26 Mar 2026 - 17:28

score 86 · Answer 6 · 2026-03-29 07:00:33

86

Views

Intuitively, why $\operatorname{spec}(S^{-1}A) \cong \lbrace \mathfrak{p} \in \operatorname{spec} (A)| \mathfrak{p} \cap S = \emptyset \rbrace$?

Published on 29 Mar 2026 - 7:00

score 43 · Answer 7 · 2026-04-01 08:47:30

43

Views

The characteristic of the quotient fields of $\mathbb{Z}[x_1,\ldots, x_n]$

Published on 01 Apr 2026 - 8:47

score 71 · Answer 8 · 2023-05-29 22:48:57

71

Views

An infinite number of different decompositions $I = \cap_{i} q_i$ of ideal in polynomial ring $k[x, y, z]$ where $q_i$ are primary ideals

Published on 29 May 2023 - 22:48

score 61 · Answer 9 · 2023-05-29 23:07:12

61

Views

Direct calculations of $\text{ass}_R(R/I)$, $\text{supp}_R(R/I)$ and associate prime decomposition of ideal $I \subset R$

Published on 29 May 2023 - 23:07

score 53 · Answer 10 · 2026-03-26 21:10:13

53

Views

Is $I^n \not = I^{n+1}$ for all non-zero proper ideals $I$ of an integral domain?

Published on 26 Mar 2026 - 21:10

score 103 · Answer 11 · 2023-06-03 20:05:36

103

Views

Find units and zero divisors in $\mathbb{Q}[x]/{(x^2-1)}$

Published on 03 Jun 2023 - 20:05

score 65 · Answer 12 · 2023-06-03 22:01:04

65

Views

Question about ideals of quotient ring

Published on 03 Jun 2023 - 22:01

score 168 · Answer 13 · 2026-03-29 07:00:33

168

Views

Is testing whether the nonunits of $K[x,y]_{(x,y)}[1/y]$ form an ideal a messy undertaking or am I going about it wrong?

Published on 29 Mar 2026 - 7:00

score 162 · Answer 14 · 2026-03-29 14:32:43

162

Views

$P$ is a prime ideal $\iff$ for $r, s \in R$ such that $rRs \subset P$, then $r \in P$ or $s \in P$.

Published on 29 Mar 2026 - 14:32

score 58 · Answer 15 · 2023-06-13 16:05:07

58

Views

How to prove that every left ideal is a principal left ideal?

Published on 13 Jun 2023 - 16:05

List Question

Uniqueness of a commutative ring as finite direct sum of indecomposable ideals

Characterisation of non-closed ideals in $C[0,1]$

Would this be correct to prove that two ideals are equal?

How is the reduced Groebner base of the ideal of an inconsistent polynomial system of equations?

simplicial complexes and associated ideals

Intuitively, why $\operatorname{spec}(S^{-1}A) \cong \lbrace \mathfrak{p} \in \operatorname{spec} (A)| \mathfrak{p} \cap S = \emptyset \rbrace$?

The characteristic of the quotient fields of $\mathbb{Z}[x_1,\ldots, x_n]$

An infinite number of different decompositions $I = \cap_{i} q_i$ of ideal in polynomial ring $k[x, y, z]$ where $q_i$ are primary ideals

Direct calculations of $\text{ass}_R(R/I)$, $\text{supp}_R(R/I)$ and associate prime decomposition of ideal $I \subset R$

Is $I^n \not = I^{n+1}$ for all non-zero proper ideals $I$ of an integral domain?

Find units and zero divisors in $\mathbb{Q}[x]/{(x^2-1)}$

Question about ideals of quotient ring

Is testing whether the nonunits of $K[x,y]_{(x,y)}[1/y]$ form an ideal a messy undertaking or am I going about it wrong?

$P$ is a prime ideal $\iff$ for $r, s \in R$ such that $rRs \subset P$, then $r \in P$ or $s \in P$.

How to prove that every left ideal is a principal left ideal?

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