Question

Prove that Ideal of the polynomials with even coefficients is maximal.

score 344 · Answer 1 · 2026-04-15 00:54:37

344

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Prove that Ideal of the polynomials with even coefficients is maximal.

Published on 15 Apr 2026 - 0:54

score 96 · Answer 2 · 2026-04-15 15:51:28

96

Views

Zorn Lemma, opposite ring and so on........

Published on 15 Apr 2026 - 15:51

score 1.3k · Answer 3 · 2026-04-14 06:11:19

1.3k

Views

How to find the inverse polynomial in a quotient ring?

Published on 14 Apr 2026 - 6:11

score 141 · Answer 4 · 2026-04-16 00:34:32

141

Views

prove that a map is well-defined and closed ideals in $C_0(X)$

Published on 16 Apr 2026 - 0:34

score 916 · Answer 5 · 2026-04-14 11:56:19

916

Views

A general question: how to find zero divisors in the polynomial ring?

Published on 14 Apr 2026 - 11:56

score 2.5k · Answer 6 · 2026-04-15 07:20:42

2.5k

Views

Ideals in $C[0,1]$ which are not finitely generated (From Atiyah- Macdonald )

Published on 15 Apr 2026 - 7:20

score 1.8k · Answer 7 · 2026-04-16 09:02:48

1.8k

Views

$M_a =\{ f\in C[0,1] |\ f(a)=0 \}$ for $a$ $\in$ $[0,1]$. Is $M_a$ finitely generated in $C[0,1]$?

Published on 16 Apr 2026 - 9:02

score 55 · Answer 8 · 2026-04-14 18:43:13

55

Views

$I\subseteq C_0(X)$ closed Ideal. Does for all $x\in X$ exist $f\in I$ such that $f(x)\neq 0$?

Published on 14 Apr 2026 - 18:43

score 4.8k · Answer 9 · 2026-04-11 03:43:54

4.8k

Views

What is the simplest non-principal ideal?

Published on 11 Apr 2026 - 3:43

score 161 · Answer 10 · 2026-04-13 18:14:05

161

Views

Basic Clarification on S-Polynomials & Buchberger's Criterion

Published on 13 Apr 2026 - 18:14

score 559 · Answer 11 · 2026-04-16 13:15:18

559

Views

Trying to show that $R/M$ simple implies that $M$ is maximal. Subquestion: Can non-unit elements make ideals?

Published on 16 Apr 2026 - 13:15

score 71 · Answer 12 · 2026-04-16 09:46:03

71

Views

Existence and uniqueness of unital ring containing a non-unital ring as maximal ideal

Published on 16 Apr 2026 - 9:46

score 227 · Answer 13 · 2026-04-14 05:08:43

227

Views

Ideals in integral closure of Dedekind domain

Published on 14 Apr 2026 - 5:08

score 458 · Answer 14 · 2026-04-13 18:37:23

458

Views

Looking for a special class of ideals such that If every ascending chain of ideals from this class stabilizes, then $R$ is a Noetherian ring.

Published on 13 Apr 2026 - 18:37

score 171 · Answer 15 · 2026-04-14 10:09:05

171

Views

Concerning the ring of all real valued functions of bounded variation on $[a,b]$

Published on 14 Apr 2026 - 10:09

List Question

Prove that Ideal of the polynomials with even coefficients is maximal.

Zorn Lemma, opposite ring and so on........

How to find the inverse polynomial in a quotient ring?

prove that a map is well-defined and closed ideals in $C_0(X)$

A general question: how to find zero divisors in the polynomial ring?

Ideals in $C[0,1]$ which are not finitely generated (From Atiyah- Macdonald )

$M_a =\{ f\in C[0,1] |\ f(a)=0 \}$ for $a$ $\in$ $[0,1]$. Is $M_a$ finitely generated in $C[0,1]$?

$I\subseteq C_0(X)$ closed Ideal. Does for all $x\in X$ exist $f\in I$ such that $f(x)\neq 0$?

What is the simplest non-principal ideal?

Basic Clarification on S-Polynomials & Buchberger's Criterion

Trying to show that $R/M$ simple implies that $M$ is maximal. Subquestion: Can non-unit elements make ideals?

Existence and uniqueness of unital ring containing a non-unital ring as maximal ideal

Ideals in integral closure of Dedekind domain

Looking for a special class of ideals such that If every ascending chain of ideals from this class stabilizes, then $R$ is a Noetherian ring.

Concerning the ring of all real valued functions of bounded variation on $[a,b]$

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