List questions from maximal-and-prime-ideals

Published on 01 Oct 2023 - 4:01

71

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A principal ideal is prime in a coprime localization -- is it prime in the ring?

Published on 25 Mar 2026 - 14:26

28

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Maximal ideals give rise to bounded multiplicative linear functionals

Published on 30 Mar 2026 - 8:55

45

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Equivalent definitions of a local algebra

Published on 25 Mar 2026 - 20:18

107

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R be a commutative ring, An ideal P of R is a prime ideal iff for two ideals A, B of R , $AB \subseteq P \implies A \subseteq P$ or $B \subseteq P$

Published on 17 Oct 2023 - 4:51

98

Views

How can I show that if $x$ is a nonunit then $1-x$ is a unit?

Published on 25 Mar 2026 - 20:19

63

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Find $\dim_k(m/m^2)$ in a local ring without geometric interpretation.

Published on 26 Mar 2026 - 12:33

70

Views

Prime and maximal ideals. I only have the definition

Published on 23 Oct 2023 - 20:56

100

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Ideal generated by $2 \times 2$ minors is prime

Published on 26 Mar 2026 - 0:28

30

Views

Finding class group of $\Bbb Q(\zeta_{29})$

Published on 25 Mar 2026 - 17:53

71

Views

Ideals of rings of continuous functions with compact support.

Published on 01 Nov 2023 - 14:22

138

Views

Is the quotient ring of a polynomial ring by a prime ideal integrally closed?

Published on 04 Nov 2023 - 10:19

42

Views

Determine if $(x^5+x^3y^2+x^2y^3+y^5-y)$ is a prime ideal in $\Bbb Q[x,y]$.

Published on 26 Mar 2026 - 2:49

87

Views

Prime avoidance for graded Noetherian ring with infinite residue field.

Published on 26 Mar 2026 - 11:47

77

Views

Is the contraction of a minimal prime of the extension always the original prime?

Published on 15 Nov 2023 - 19:22

List Question

Endomorphisms of a countably infinite vector space.

A principal ideal is prime in a coprime localization -- is it prime in the ring?

Maximal ideals give rise to bounded multiplicative linear functionals

Equivalent definitions of a local algebra

R be a commutative ring, An ideal P of R is a prime ideal iff for two ideals A, B of R , $AB \subseteq P \implies A \subseteq P$ or $B \subseteq P$

How can I show that if $x$ is a nonunit then $1-x$ is a unit?

Find $\dim_k(m/m^2)$ in a local ring without geometric interpretation.

Prime and maximal ideals. I only have the definition

Ideal generated by $2 \times 2$ minors is prime

Finding class group of $\Bbb Q(\zeta_{29})$

Ideals of rings of continuous functions with compact support.

Is the quotient ring of a polynomial ring by a prime ideal integrally closed?

Determine if $(x^5+x^3y^2+x^2y^3+y^5-y)$ is a prime ideal in $\Bbb Q[x,y]$.

Prime avoidance for graded Noetherian ring with infinite residue field.

Is the contraction of a minimal prime of the extension always the original prime?

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