Question

Prove that $\psi:\text{spec}(R_p)\to\text{spec} R$ is injective and $\text{Im}\psi=\{q\in\text{spec} R:q\subseteq p\}$

score 51 · Answer 1 · 2026-03-27 10:47:51

51

Views

Prove that $\psi:\text{spec}(R_p)\to\text{spec} R$ is injective and $\text{Im}\psi=\{q\in\text{spec} R:q\subseteq p\}$

Published on 27 Mar 2026 - 10:47

score 54 · Answer 2 · 2026-04-09 02:40:09

54

Views

Does this construction define a ring and if so what properties does it have?

Published on 09 Apr 2026 - 2:40

score 476 · Answer 3 · 2026-04-11 21:17:32

476

Views

Under what conditions two cyclic modules are isomorphic?

Published on 11 Apr 2026 - 21:17

score 68 · Answer 4 · 2019-09-20 04:37:29

68

Views

On Commutative Noetherian Ring

Published on 20 Sep 2019 - 4:37

score 36 · Answer 5 · 2019-09-20 04:59:46

If $I$, $J$ are ideals of commutative Noetherian ring with unity, and $I\subsetneq J$, then is $\operatorname{ht} I < \operatorname{ht} J$?

score 104 · Answer 6 · 2026-04-12 12:57:43

104

Views

Smallest generating set for a commutative algebra

Published on 12 Apr 2026 - 12:57

score 395 · Answer 7 · 2026-03-25 12:27:05

395

Views

Show that $R\cong Rx$ (as rings) if and only if $x$ is an unit.

Published on 25 Mar 2026 - 12:27

score 343 · Answer 8 · 2026-03-29 20:30:04

343

Views

If $M$ is a finitely generated module then $\sqrt{\text{ann}(M)}=\bigcap\text{supp}(M)$

Published on 29 Mar 2026 - 20:30

score 39 · Answer 9 · 2026-04-11 19:20:49

39

Views

Question on a proof of a user who is inactive showing that ring is field iff (1) and (0) are the only ideals

Published on 11 Apr 2026 - 19:20

score 46 · Answer 10 · 2019-09-21 14:42:22

46

Views

Prove that if $d|n$, then $P^d(x)-x$ divides $P^n(x)-x$

Published on 21 Sep 2019 - 14:42

score 133 · Answer 11 · 2026-03-27 12:27:29

133

Views

If $M_p$ is a localization, why doesn't $M_p=0$ imply $M=0$?

Published on 27 Mar 2026 - 12:27

score 239 · Answer 12 · 2026-03-28 16:13:35

239

Views

Lower degree terms of elliptic curve division polynomials

Published on 28 Mar 2026 - 16:13

score 247 · Answer 13 · 2026-03-25 11:08:17

247

Views

Associated elements in groups and modules

Published on 25 Mar 2026 - 11:08

score 74 · Answer 14 · 2026-04-12 00:58:40

74

Views

ring endomorphism

Published on 12 Apr 2026 - 0:58

score 45 · Answer 15 · 2026-04-12 21:09:07

45

Views

If $a\in R-\{0\}$ and $a$ is not a unit and $R$ Principal ideal domain and $a$ cannot be factorized with ireduc. elem then $a$ reducible

Published on 12 Apr 2026 - 21:09

List Question

Prove that $\psi:\text{spec}(R_p)\to\text{spec} R$ is injective and $\text{Im}\psi=\{q\in\text{spec} R:q\subseteq p\}$

Does this construction define a ring and if so what properties does it have?

Under what conditions two cyclic modules are isomorphic?

On Commutative Noetherian Ring

If $I$, $J$ are ideals of commutative Noetherian ring with unity, and $I\subsetneq J$, then is $\operatorname{ht} I < \operatorname{ht} J$?

Smallest generating set for a commutative algebra

Show that $R\cong Rx$ (as rings) if and only if $x$ is an unit.

If $M$ is a finitely generated module then $\sqrt{\text{ann}(M)}=\bigcap\text{supp}(M)$

Question on a proof of a user who is inactive showing that ring is field iff (1) and (0) are the only ideals

Prove that if $d|n$, then $P^d(x)-x$ divides $P^n(x)-x$

If $M_p$ is a localization, why doesn't $M_p=0$ imply $M=0$?

Lower degree terms of elliptic curve division polynomials

Associated elements in groups and modules

ring endomorphism

If $a\in R-\{0\}$ and $a$ is not a unit and $R$ Principal ideal domain and $a$ cannot be factorized with ireduc. elem then $a$ reducible

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