List questions from maximal-and-prime-ideals

Published on 28 Mar 2026 - 4:53

385

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$(X)$ is (not) a prime ideal in the ring of integer-valued polynomials

Published on 26 Mar 2026 - 14:24

58

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Find the maximum of the value $ f(x)=27\sin^8{x}+8\cos^8{x}$

Published on 03 Jan 2017 - 15:03

81

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Squares in a factorring of Z

Published on 08 Jan 2017 - 20:24

1.1k

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Ideal of the ring of upper triangular matrices

Published on 09 Jan 2017 - 11:32

175

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Product of ideals and intersection with subfield

Published on 09 Jan 2017 - 14:34

161

Views

Connecting class group theory and towers of Galois extensions

Published on 10 Jan 2017 - 13:35

58

Views

Show the principal ideal $(x+y\omega)$ has no prime ideal factor in common with other principal ideal $(x+y\omega ^j)$ for $j=0$ or $j=2,...,p-1$

Published on 10 Jan 2017 - 22:51

124

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Continuing a simple proof involving $\operatorname{Ass}(M)$.

Published on 11 Jan 2017 - 13:54

688

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Prove that $\langle x-a, y-b, z-c\rangle$ is a maximal ideal in $K[x,y,z]$

Published on 11 Jan 2017 - 22:38

1.9k

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Ideals generated by irreducible elements in a UFD.

Published on 28 Mar 2026 - 20:52

746

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Proving 20-th cyclotomic field has class number one.

Published on 17 Jan 2017 - 14:04

415

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$R = C[0,1]$ What are the unit elements of $R/I$ where $I$ = {all cont. functions on $[0,1]$ |$ f(0) = f(1) = 0$}?

Published on 19 Jan 2017 - 2:13

107

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Support of a module of homomorphisms

Published on 26 Mar 2026 - 17:32

1.2k

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Is it true that $\langle x^2+y^2-1\rangle$ is prime in $\mathbb{C}[x,y]$?

Published on 22 Jan 2017 - 20:58

List Question

On the proof of the factoriality of regular local rings

$(X)$ is (not) a prime ideal in the ring of integer-valued polynomials

Find the maximum of the value $ f(x)=27\sin^8{x}+8\cos^8{x}$

Squares in a factorring of Z

Ideal of the ring of upper triangular matrices

Product of ideals and intersection with subfield

Connecting class group theory and towers of Galois extensions

Show the principal ideal $(x+y\omega)$ has no prime ideal factor in common with other principal ideal $(x+y\omega ^j)$ for $j=0$ or $j=2,...,p-1$

Continuing a simple proof involving $\operatorname{Ass}(M)$.

Prove that $\langle x-a, y-b, z-c\rangle$ is a maximal ideal in $K[x,y,z]$

Ideals generated by irreducible elements in a UFD.

Proving 20-th cyclotomic field has class number one.

$R = C[0,1]$ What are the unit elements of $R/I$ where $I$ = {all cont. functions on $[0,1]$ |$ f(0) = f(1) = 0$}?

Support of a module of homomorphisms

Is it true that $\langle x^2+y^2-1\rangle$ is prime in $\mathbb{C}[x,y]$?

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