Question

How do I determine if a field F is the quotient field of an integral domain

score 95 · Answer 1 · 2026-04-10 01:56:17

95

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How do I determine if a field F is the quotient field of an integral domain

Published on 10 Apr 2026 - 1:56

score 202 · Answer 2 · 2026-04-14 23:27:13

202

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For $A$, a commutative ring with identity, show $J(A)=\{x\in A:xy-1 \in A^\times, \forall y \in A\}$, $J(A)$ being the Jacobson radical.

Published on 14 Apr 2026 - 23:27

score 70 · Answer 3 · 2026-04-12 03:56:00

70

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Descending chaincondition for cyclic ideals

Published on 12 Apr 2026 - 3:56

score 104 · Answer 4 · 2026-04-13 00:55:55

104

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Definition of multimodules

Published on 13 Apr 2026 - 0:55

score 260 · Answer 5 · 2026-04-14 11:33:59

260

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Zero divisors in annihilator of modules

Published on 14 Apr 2026 - 11:33

score 90 · Answer 6 · 2026-04-13 10:26:13

90

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Example of a polynomial with a lesser degree than the minimal monic polynomial.

Published on 13 Apr 2026 - 10:26

score 64 · Answer 7 · 2026-04-13 05:45:04

64

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Determining Whether an Ideal is Principal in $\mathbb{Z}[1/5]$

Published on 13 Apr 2026 - 5:45

score 839 · Answer 8 · 2026-04-11 04:27:17

839

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Ring homomorphism may not preserve $1$.

Published on 11 Apr 2026 - 4:27

score 352 · Answer 9 · 2026-04-16 18:42:25

352

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Number of maximal ideals in the ring $\mathbb{Z}_5[x]/\langle (x+1)^2(x+2)^3 \rangle$

Published on 16 Apr 2026 - 18:42

score 152 · Answer 10 · 2026-03-27 23:48:48

152

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about the dimension of a quotient ring as a $\mathbb{C}$-vector space

Published on 27 Mar 2026 - 23:48

score 208 · Answer 11 · 2026-04-16 00:26:37

208

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If $I$ is a proper ideal not prime, there exists $J,K$ such that $J\subsetneq I$, $K\subsetneq I$ and $JK\subseteq I$

Published on 16 Apr 2026 - 0:26

score 65 · Answer 12 · 2020-05-20 22:45:44

65

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Prove that following set is Gröbner system

Published on 20 May 2020 - 22:45

score 212 · Answer 13 · 2026-04-16 08:50:57

212

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Proving that the ideal generated by a set of polynomials is equal to the intersection of ideals containing these polynomials

Published on 16 Apr 2026 - 8:50

score 82 · Answer 14 · 2026-04-15 13:59:00

82

Views

Determining whether the homomorphism $\phi$ is surjective.

Published on 15 Apr 2026 - 13:59

score 50 · Answer 15 · 2026-04-14 00:45:58

50

Views

Reducibility of multi-variable polynomials

Published on 14 Apr 2026 - 0:45

List Question

How do I determine if a field F is the quotient field of an integral domain

For $A$, a commutative ring with identity, show $J(A)=\{x\in A:xy-1 \in A^\times, \forall y \in A\}$, $J(A)$ being the Jacobson radical.

Descending chaincondition for cyclic ideals

Definition of multimodules

Zero divisors in annihilator of modules

Example of a polynomial with a lesser degree than the minimal monic polynomial.

Determining Whether an Ideal is Principal in $\mathbb{Z}[1/5]$

Ring homomorphism may not preserve $1$.

Number of maximal ideals in the ring $\mathbb{Z}_5[x]/\langle (x+1)^2(x+2)^3 \rangle$

about the dimension of a quotient ring as a $\mathbb{C}$-vector space

If $I$ is a proper ideal not prime, there exists $J,K$ such that $J\subsetneq I$, $K\subsetneq I$ and $JK\subseteq I$

Prove that following set is Gröbner system

Proving that the ideal generated by a set of polynomials is equal to the intersection of ideals containing these polynomials

Determining whether the homomorphism $\phi$ is surjective.

Reducibility of multi-variable polynomials

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