Question

Why my proof of every maximal ideal being prime is incorrect

score 76 · Answer 1 · 2026-04-01 18:09:52

76

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Why my proof of every maximal ideal being prime is incorrect

Published on 01 Apr 2026 - 18:09

score 64 · Answer 2 · 2024-02-16 10:25:21

64

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Prove that $I=(I\cap R_1)\oplus (I\cap R_2)\oplus \dots \oplus (I\cap R_n)$

Published on 16 Feb 2024 - 10:25

score 64 · Answer 3 · 2024-02-20 02:35:49

64

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When $\mathbb Z_3[x] / \langle x^2+1\rangle$, why $(2x^2 + 2x + 1 + \langle x^2+1\rangle) = (2x + 2 + \langle x^2+1\rangle)$?

Published on 20 Feb 2024 - 2:35

score 116 · Answer 4 · 2026-03-27 05:36:38

116

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Is the ring $\mathbb{R} [x]$ Noetherian?

Published on 27 Mar 2026 - 5:36

score 73 · Answer 5 · 2026-04-09 11:59:00

73

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The equivalences between points in a locale in constructive mathematics

Published on 09 Apr 2026 - 11:59

score 33 · Answer 6 · 2026-04-01 18:11:45

33

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If $I\subseteq P_1\cup P_2$ with $P_1, P_2$ prime ideals of $R$, then $I\subseteq P_1$ or $I\subseteq P_2$.

Published on 01 Apr 2026 - 18:11

score 84 · Answer 7 · 2024-02-29 02:47:50

84

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Artin's Algebra, maximal ideals of $\mathbb{C}[x, y]/(y^2+x^3-17)$

Published on 29 Feb 2024 - 2:47

score 29 · Answer 8 · 2026-03-28 12:14:17

29

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example of a $B$-bimodule $X$ that is not an $A$-bimodule.

Published on 28 Mar 2026 - 12:14

score 62 · Answer 9 · 2026-04-11 08:23:36

62

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$I=r(I)$ iff $I$ is an intersection of prime ideals

Published on 11 Apr 2026 - 8:23

score 27 · Answer 10 · 2026-04-11 04:01:25

27

Views

Is an ideal generated by irreductible elements of a ring a radical ideal?

Published on 11 Apr 2026 - 4:01

score 60 · Answer 11 · 2026-04-10 00:34:33

60

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Unique Prime Ideal in $\mathbb{Z}[\zeta_6]$ of Residual Characteristic 3

Published on 10 Apr 2026 - 0:34

score 57 · Answer 12 · 2026-04-10 22:05:54

57

Views

Calculate the ideal generated by a variety

Published on 10 Apr 2026 - 22:05

score 35 · Answer 13 · 2024-03-07 16:49:52

35

Views

Let V be a finite-dimensional vector space, $End_{K}(V)$ the ring of endomorphisms.

Published on 07 Mar 2024 - 16:49

score 155 · Answer 14 · 2026-04-07 22:48:51

155

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Some very basic problems in understanding the definition of algebraic variety

Published on 07 Apr 2026 - 22:48

score 54 · Answer 15 · 2026-04-03 14:26:26

54

Views

Center of an ideal of a $C^\ast$-algebra.

Published on 03 Apr 2026 - 14:26

List Question

Why my proof of every maximal ideal being prime is incorrect

Prove that $I=(I\cap R_1)\oplus (I\cap R_2)\oplus \dots \oplus (I\cap R_n)$

When $\mathbb Z_3[x] / \langle x^2+1\rangle$, why $(2x^2 + 2x + 1 + \langle x^2+1\rangle) = (2x + 2 + \langle x^2+1\rangle)$?

Is the ring $\mathbb{R} [x]$ Noetherian?

The equivalences between points in a locale in constructive mathematics

If $I\subseteq P_1\cup P_2$ with $P_1, P_2$ prime ideals of $R$, then $I\subseteq P_1$ or $I\subseteq P_2$.

Artin's Algebra, maximal ideals of $\mathbb{C}[x, y]/(y^2+x^3-17)$

example of a $B$-bimodule $X$ that is not an $A$-bimodule.

$I=r(I)$ iff $I$ is an intersection of prime ideals

Is an ideal generated by irreductible elements of a ring a radical ideal?

Unique Prime Ideal in $\mathbb{Z}[\zeta_6]$ of Residual Characteristic 3

Calculate the ideal generated by a variety

Let V be a finite-dimensional vector space, $End_{K}(V)$ the ring of endomorphisms.

Some very basic problems in understanding the definition of algebraic variety

Center of an ideal of a $C^\ast$-algebra.

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