Question

Maximal ideal in commutative Banach algebras. Why commutative?

score 496 · Answer 1 · 2026-03-29 14:20:00

496

Views

Maximal ideal in commutative Banach algebras. Why commutative?

Published on 29 Mar 2026 - 14:20

score 743 · Answer 2 · 2026-04-14 19:45:45

743

Views

Prove the equality of two ideals in $F[x]$

Published on 14 Apr 2026 - 19:45

score 111 · Answer 3 · 2026-04-08 18:56:34

111

Views

Please help with question about an ideal in $\mathbb{Z}$

Published on 08 Apr 2026 - 18:56

score 115 · Answer 4 · 2026-04-11 14:00:21

115

Views

What is meant by saying $I=(5a+b\sqrt{5}) $ is a principal ideal

Published on 11 Apr 2026 - 14:00

score 137 · Answer 5 · 2026-03-02 20:57:05

137

Views

$\mathrm{Ann}(I \cap J) = \mathrm{Ann}(I) +\mathrm{Ann}(J)$ if $R$ is self-injective

Published on 02 Mar 2026 - 20:57

score 167 · Answer 6 · 2026-04-15 07:12:50

167

Views

Relating generating sets of modules over quotient ring to modules over original ring

Published on 15 Apr 2026 - 7:12

score 54 · Answer 7 · 2026-04-11 22:15:42

54

Views

A commutative ring with at most $5$ distinct ideals is a PIR

Published on 11 Apr 2026 - 22:15

score 167 · Answer 8 · 2026-04-17 15:44:32

167

Views

$\langle 7, 3 + \sqrt{-5} \rangle = \langle 7, 4 + \sqrt{-5} \rangle$, right?

Published on 17 Apr 2026 - 15:44

score 210 · Answer 9 · 2026-03-29 23:34:09

210

Views

Prime ideals in $R= \left\{ \frac ab\in \mathbb Q\mid a,b\in \mathbb Z,p\nmid b \right\}$

Published on 29 Mar 2026 - 23:34

score 65 · Answer 10 · 2026-04-11 22:03:08

65

Views

Modular reduction on ideals generated by two elements

Published on 11 Apr 2026 - 22:03

score 1.9k · Answer 11 · 2026-04-14 09:25:43

1.9k

Views

Prove that a proper ideal of R is a maximal ideal of R, with R being a commutative ring with unity

Published on 14 Apr 2026 - 9:25

score 821 · Answer 12 · 2026-03-27 18:35:46

821

Views

Invertible ideals are finitely generated.

Published on 27 Mar 2026 - 18:35

score 761 · Answer 13 · 2026-04-16 18:23:06

761

Views

Ideal of $\mathbb Q[x]$ which contains two polynomials

Published on 16 Apr 2026 - 18:23

score 224 · Answer 14 · 2026-04-14 05:51:34

224

Views

Why is the following affine varieties equal? "Closure theorem"

Published on 14 Apr 2026 - 5:51

score 398 · Answer 15 · 2026-04-16 07:52:07

398

Views

$R$ be a commutative ring with unity satisfying a.c.c. on radical ideals ; is it true that $R[x]$ also satisfies a.c.c. on radical ideals ?

Published on 16 Apr 2026 - 7:52

List Question

Maximal ideal in commutative Banach algebras. Why commutative?

Prove the equality of two ideals in $F[x]$

Please help with question about an ideal in $\mathbb{Z}$

What is meant by saying $I=(5a+b\sqrt{5}) $ is a principal ideal

$\mathrm{Ann}(I \cap J) = \mathrm{Ann}(I) +\mathrm{Ann}(J)$ if $R$ is self-injective

Relating generating sets of modules over quotient ring to modules over original ring

A commutative ring with at most $5$ distinct ideals is a PIR

$\langle 7, 3 + \sqrt{-5} \rangle = \langle 7, 4 + \sqrt{-5} \rangle$, right?

Prime ideals in $R= \left\{ \frac ab\in \mathbb Q\mid a,b\in \mathbb Z,p\nmid b \right\}$

Modular reduction on ideals generated by two elements

Prove that a proper ideal of R is a maximal ideal of R, with R being a commutative ring with unity

Invertible ideals are finitely generated.

Ideal of $\mathbb Q[x]$ which contains two polynomials

Why is the following affine varieties equal? "Closure theorem"

$R$ be a commutative ring with unity satisfying a.c.c. on radical ideals ; is it true that $R[x]$ also satisfies a.c.c. on radical ideals ?

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