List questions from maximal-and-prime-ideals

Published on 27 Mar 2026 - 14:18

207

Views

Are unique prime ideal factorization domains noetherian?

Published on 25 Mar 2026 - 4:38

81

Views

Are unique prime ideal factorization domains locally noetherian?

Published on 25 Mar 2026 - 6:02

74

Views

Find one-dimensional $P,Q$ such that $PQ = P \cap Q$ and $P,Q$ not coprime

Published on 25 Mar 2026 - 9:43

67

Views

If $I$ is a maximal ideal and $a\in R -I$, then the assumption that $I + (a) = R$ gives a contradiction

Published on 08 Jan 2019 - 8:12

842

Views

Are complex conjugates, of prime ideals, prime ideals?

Published on 09 Jan 2019 - 9:56

295

Views

If $(p)$ is a proper subset of a proper ideal $I$, then is $I$ prime?

Published on 10 Jan 2019 - 11:47

101

Views

Class Number Calculation of a Real Quadratic Number Field

Published on 10 Jan 2019 - 16:52

1k

Views

Example of a primary ideal that it's not prime

Published on 28 Mar 2026 - 3:02

805

Views

Show that $P[x]+\langle x\rangle $ is a prime ideal of $R[x]$.

Published on 11 Jan 2019 - 9:40

58

Views

Prime ideals in $R[X]/I$

Published on 16 Jan 2019 - 22:43

901

Views

Proving $R-S$ contains a prime ideal when $S$ is a multiplicative set

Published on 26 Mar 2026 - 1:08

41

Views

Maximality of an ideal for showing that an algebra is in fact a field

Published on 18 Jan 2019 - 3:11

159

Views

Finitely generated extension of integral domains

Published on 26 Mar 2026 - 2:58

762

Views

Two sided ideals are maximal right ideal iff they are maximal left ideal.

Published on 22 Jan 2019 - 8:03

List Question

Unique prime ideal factorization in domains?

Are unique prime ideal factorization domains noetherian?

Are unique prime ideal factorization domains locally noetherian?

Find one-dimensional $P,Q$ such that $PQ = P \cap Q$ and $P,Q$ not coprime

If $I$ is a maximal ideal and $a\in R -I$, then the assumption that $I + (a) = R$ gives a contradiction

Are complex conjugates, of prime ideals, prime ideals?

If $(p)$ is a proper subset of a proper ideal $I$, then is $I$ prime?

Class Number Calculation of a Real Quadratic Number Field

Example of a primary ideal that it's not prime

Show that $P[x]+\langle x\rangle $ is a prime ideal of $R[x]$.

Prime ideals in $R[X]/I$

Proving $R-S$ contains a prime ideal when $S$ is a multiplicative set

Maximality of an ideal for showing that an algebra is in fact a field

Finitely generated extension of integral domains

Two sided ideals are maximal right ideal iff they are maximal left ideal.

Trending Questions

Popular # Hahtags

Popular Questions