List questions from maximal-and-prime-ideals

Published on 11 Apr 2016 - 2:57

1.5k

Views

Each prime ideal contains an idempotent element

Published on 26 Mar 2026 - 22:13

406

Views

Height of a contraction of prime ideal

Published on 13 Apr 2016 - 9:27

904

Views

Maximal ideal in $\mathbb{R}[x,y]/ (x^2 + y^2 -1)$

Published on 14 Apr 2016 - 8:35

119

Views

$I=(f_1, \ldots, f_n)\subset k[x_1, \ldots, x_n]$ with $f_i\in k[x_i]$ irreducible polynomials

Published on 14 Apr 2016 - 23:48

72

Views

Confirming some notation regarding Ring of Polynomials

Published on 16 Apr 2016 - 11:55

154

Views

Show that some ideals are prime

Published on 16 Apr 2016 - 15:52

989

Views

Does a prime ideal map to a prime ideal?

Published on 19 Apr 2016 - 23:56

159

Views

Prime ideals of the ring of integers lying over $p\mathbb{Z}$

Published on 21 Apr 2016 - 4:50

859

Views

The ideals $\langle y-x-1\rangle$ and $\langle x-2,y-3\rangle$ in $\mathbb C[x,y]$ are prime

Published on 24 Apr 2016 - 5:15

1.1k

Views

Computing prime factorization of ideals?

Published on 25 Apr 2016 - 16:02

1.7k

Views

Each proper ideal is a product of prime ideals

Published on 30 Mar 2026 - 15:44

644

Views

Height of prime ideal containing the variable of a polynomial ring

Published on 29 Mar 2026 - 4:54

90

Views

Is there any proof of the criterion of determining maximal ideal in a commutative ring with unity by Third Isomorphism Theorem?

Published on 29 Apr 2016 - 17:41

29

Views

The product $JR$ of a proper ideal $J$ and the nontrivial ideal $R$

Published on 28 Mar 2026 - 3:33

List Question

Consider the ring $\mathbb{R}[x]$. Then which of the following quotients is an integral domain?

Each prime ideal contains an idempotent element

Height of a contraction of prime ideal

Maximal ideal in $\mathbb{R}[x,y]/ (x^2 + y^2 -1)$

$I=(f_1, \ldots, f_n)\subset k[x_1, \ldots, x_n]$ with $f_i\in k[x_i]$ irreducible polynomials

Confirming some notation regarding Ring of Polynomials

Show that some ideals are prime

Does a prime ideal map to a prime ideal?

Prime ideals of the ring of integers lying over $p\mathbb{Z}$

The ideals $\langle y-x-1\rangle$ and $\langle x-2,y-3\rangle$ in $\mathbb C[x,y]$ are prime

Computing prime factorization of ideals?

Each proper ideal is a product of prime ideals

Height of prime ideal containing the variable of a polynomial ring

Is there any proof of the criterion of determining maximal ideal in a commutative ring with unity by Third Isomorphism Theorem?

The product $JR$ of a proper ideal $J$ and the nontrivial ideal $R$

Trending Questions

Popular # Hahtags

Popular Questions