Question

Show that $ann(M)$ is an ideal in $R$.

score 1.1k · Answer 1 · 2019-04-04 02:20:06

1.1k

Views

Show that $ann(M)$ is an ideal in $R$.

Published on 04 Apr 2019 - 2:20

score 25 · Answer 2 · 2019-04-04 16:56:42

25

Views

Product of a factor module by an ideal

Published on 04 Apr 2019 - 16:56

score 52 · Answer 3 · 2019-04-04 22:57:51

52

Views

what is this specific ideal of $\mathbb{Z}[X]$?

Published on 04 Apr 2019 - 22:57

score 3.3k · Answer 4 · 2019-04-05 12:40:09

3.3k

Views

Show that every ideal of a ring R is the kernel of some ring homomorphism

Published on 05 Apr 2019 - 12:40

score 156 · Answer 5 · 2019-04-05 18:04:53

156

Views

Show that if $F$ is a field, $f(x) \in F[x]$, then $f(x) * F[x]$ is an ideal in $F[x]$, and every ideal of $F[x]$ is of this form.

Published on 05 Apr 2019 - 18:04

score 46 · Answer 6 · 2019-04-06 05:27:27

46

Views

Let $I = n\mathbb{Z}$ , $J = m\mathbb{Z}$. Does $I+J = I \cap J = IJ = I/J = d\mathbb{Z}$???

Published on 06 Apr 2019 - 5:27

score 222 · Answer 7 · 2019-04-06 06:45:19

222

Views

Ideal generator of a quotient ring

Published on 06 Apr 2019 - 6:45

score 188 · Answer 8 · 2019-04-06 16:28:15

188

Views

Prove : If $I=(p(x))$ is a prime ideal in $ F[x]$ then $p(x)$ is irreducible.my claim is F need not to be field.

Published on 06 Apr 2019 - 16:28

score 210 · Answer 9 · 2026-03-25 04:41:35

210

Views

In a commutative local Noetherian ring $R$ with maximal ideal $J$, if $J$ is not nilpotent then $R$ is an integral domain.

Published on 25 Mar 2026 - 4:41

score 393 · Answer 10 · 2026-03-27 16:27:07

393

Views

Subgroups of the integers.

Published on 27 Mar 2026 - 16:27

score 39 · Answer 11 · 2019-04-10 12:54:43

39

Views

Rings, sub-rings and ideals example

Published on 10 Apr 2019 - 12:54

score 604 · Answer 12 · 2019-04-10 13:05:48

604

Views

How can the intersection of nonzero ideals be zero?

Published on 10 Apr 2019 - 13:05

score 308 · Answer 13 · 2026-03-26 16:23:06

308

Views

Ideal with zero localizations at prime ideals containing it

Published on 26 Mar 2026 - 16:23

score 212 · Answer 14 · 2026-03-25 04:41:19

212

Views

Clarification about a proof regarding a sum of polynomials being expressed as a linear combination of S-polynomials

Published on 25 Mar 2026 - 4:41

score 117 · Answer 15 · 2026-03-25 12:22:39

117

Views

Ideals in polynomial ring

Published on 25 Mar 2026 - 12:22

List Question

Show that $ann(M)$ is an ideal in $R$.

Product of a factor module by an ideal

what is this specific ideal of $\mathbb{Z}[X]$?

Show that every ideal of a ring R is the kernel of some ring homomorphism

Show that if $F$ is a field, $f(x) \in F[x]$, then $f(x) * F[x]$ is an ideal in $F[x]$, and every ideal of $F[x]$ is of this form.

Let $I = n\mathbb{Z}$ , $J = m\mathbb{Z}$. Does $I+J = I \cap J = IJ = I/J = d\mathbb{Z}$???

Ideal generator of a quotient ring

Prove : If $I=(p(x))$ is a prime ideal in $ F[x]$ then $p(x)$ is irreducible.my claim is F need not to be field.

In a commutative local Noetherian ring $R$ with maximal ideal $J$, if $J$ is not nilpotent then $R$ is an integral domain.

Subgroups of the integers.

Rings, sub-rings and ideals example

How can the intersection of nonzero ideals be zero?

Ideal with zero localizations at prime ideals containing it

Clarification about a proof regarding a sum of polynomials being expressed as a linear combination of S-polynomials

Ideals in polynomial ring

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