Question

Ring structure of $\mathbb{R}[x]/(p(x))$.

score 886 · Answer 1 · 2018-08-20 20:02:29

886

Views

Ring structure of $\mathbb{R}[x]/(p(x))$.

Published on 20 Aug 2018 - 20:02

score 56 · Answer 2 · 2026-03-29 08:21:04

56

Views

non-terminating descending chain of non-finitely generated ideals

Published on 29 Mar 2026 - 8:21

score 782 · Answer 3 · 2026-03-25 06:06:19

782

Views

Show that the ring of polynomials with coefficients in a field, and in infinitely many variables, is not Noetherian

Published on 25 Mar 2026 - 6:06

score 120 · Answer 4 · 2026-03-28 20:41:21

120

Views

Proving a function $f:\mathbb{Z}_{nm} \rightarrow \mathbb{Z}_n \times \mathbb{Z}_m$ is an isomorphism

Published on 28 Mar 2026 - 20:41

score 95 · Answer 5 · 2026-03-25 17:36:42

95

Views

Irreducible Polynomials of a Ring

Published on 25 Mar 2026 - 17:36

score 158 · Answer 6 · 2018-08-22 13:35:13

158

Views

Are the rings $\mathbb{Z}[x]/(x^2-1)$ and $\mathbb{Z}[x]/(x^2-4)$ isomorphic?

Published on 22 Aug 2018 - 13:35

score 89 · Answer 7 · 2026-03-25 11:21:23

89

Views

"Determine the zero divisors, nilpotents and the non-invertibles in $ \mathbb{Q}[x] /(x^{4}-2x^{3}+3x^{2}-4x+2)$"

Published on 25 Mar 2026 - 11:21

score 201 · Answer 8 · 2018-08-22 19:41:45

201

Views

A ring is commutative if the solution of $ab=ca$ is always unique

Published on 22 Aug 2018 - 19:41

score 477 · Answer 9 · 2026-03-28 11:22:04

477

Views

Dummit and Foote on Tensor Products of Modules

Published on 28 Mar 2026 - 11:22

score 99 · Answer 10 · 2018-08-23 10:44:43

99

Views

A faithful ideal in a Noetherian ring is a regular ideal

Published on 23 Aug 2018 - 10:44

score 38 · Answer 11 · 2018-08-23 14:07:13

38

Views

About idempotent element

Published on 23 Aug 2018 - 14:07

score 324 · Answer 12 · 2018-08-23 19:57:16

324

Views

$R$ is a unitary ring iff $R[[x]]$ is a unitary ring

Published on 23 Aug 2018 - 19:57

score 301 · Answer 13 · 2026-03-25 22:09:23

301

Views

Integrally closed non-GCD domain

Published on 25 Mar 2026 - 22:09

score 193 · Answer 14 · 2026-03-29 06:30:24

193

Views

Conditions for a ring $R$ such that every subring is an ideal.

Published on 29 Mar 2026 - 6:30

score 178 · Answer 15 · 2018-08-26 02:43:01

178

Views

The set of zero divisors of a quotient ring over an irreducible ideal

Published on 26 Aug 2018 - 2:43

List Question

Ring structure of $\mathbb{R}[x]/(p(x))$.

non-terminating descending chain of non-finitely generated ideals

Show that the ring of polynomials with coefficients in a field, and in infinitely many variables, is not Noetherian

Proving a function $f:\mathbb{Z}_{nm} \rightarrow \mathbb{Z}_n \times \mathbb{Z}_m$ is an isomorphism

Irreducible Polynomials of a Ring

Are the rings $\mathbb{Z}[x]/(x^2-1)$ and $\mathbb{Z}[x]/(x^2-4)$ isomorphic?

"Determine the zero divisors, nilpotents and the non-invertibles in $ \mathbb{Q}[x] /(x^{4}-2x^{3}+3x^{2}-4x+2)$"

A ring is commutative if the solution of $ab=ca$ is always unique

Dummit and Foote on Tensor Products of Modules

A faithful ideal in a Noetherian ring is a regular ideal

About idempotent element

$R$ is a unitary ring iff $R[[x]]$ is a unitary ring

Integrally closed non-GCD domain

Conditions for a ring $R$ such that every subring is an ideal.

The set of zero divisors of a quotient ring over an irreducible ideal

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