Question

If $P$ is a prime ideal of $R[x;\delta]$ such as $P\cap R=\{0\}$, is $P(Q[x;\delta])$ also prime?

score 150 · Answer 1 · 2026-03-17 14:06:15

150

Views

If $P$ is a prime ideal of $R[x;\delta]$ such as $P\cap R=\{0\}$, is $P(Q[x;\delta])$ also prime?

Published on 17 Mar 2026 - 14:06

score 320 · Answer 2 · 2026-03-24 10:15:48

320

Views

In a left noetherian ring, does having a left inverse for an element guarantee the existence of right inverse for that element?

Published on 24 Mar 2026 - 10:15

score 61 · Answer 3 · 2026-03-20 07:00:11

61

Views

Are there rational coefficients that hold such properties?

Published on 20 Mar 2026 - 7:00

score 347 · Answer 4 · 2026-03-20 09:35:06

347

Views

A characterization for minimal left ideals of semisimple rings

Published on 20 Mar 2026 - 9:35

score 64 · Answer 5 · 2026-03-20 08:48:32

64

Views

$A \subseteq B \subseteq C$, with $A$ and $C$ simple rings, but $B$ is not a simple ring

Published on 20 Mar 2026 - 8:48

score 103 · Answer 6 · 2026-03-20 06:50:51

103

Views

Simplicity of Noetherian $B$, $A \subseteq B\subseteq C$, where $A$ and $C$ are simple Noetherian domains

Published on 20 Mar 2026 - 6:50

score 224 · Answer 7 · 2026-03-20 11:54:17

224

Views

Completion of localization equals the completion

Published on 20 Mar 2026 - 11:54

score 157 · Answer 8 · 2026-03-22 19:52:04

157

Views

Representations of an algebra

Published on 22 Mar 2026 - 19:52

score 113 · Answer 9 · 2026-03-24 17:56:35

113

Views

A characterization of semisimple module related to anihilators

Published on 24 Mar 2026 - 17:56

score 169 · Answer 10 · 2026-03-19 23:36:09

169

Views

Counterexample request: a surjective endomorphism of a finite module which is not injective

Published on 19 Mar 2026 - 23:36

score 581 · Answer 11 · 2026-03-22 23:22:00

581

Views

Two definitions of an $A$-algebra

Published on 22 Mar 2026 - 23:22

score 719 · Answer 12 · 2026-03-22 20:52:39

719

Views

What are the good reading books to learn cluster algebra?

Published on 22 Mar 2026 - 20:52

score 160 · Answer 13 · 2026-03-17 06:43:17

160

Views

Can anyone suggest me some books on Leavitt Path algebra?

Published on 17 Mar 2026 - 6:43

score 46 · Answer 14 · 2026-03-16 23:42:04

46

Views

Multiplicatively Closed subset of universal enveloping algebra $U(\mathfrak{g})$ which is not left localisable

Published on 16 Mar 2026 - 23:42

score 207 · Answer 15 · 2026-03-17 05:36:56

207

Views

For a countably infinite dimensional vector space, the localisation of $A= End_k(V)$ at surjective endomorphisms is the zero ring

Published on 17 Mar 2026 - 5:36

List Question

If $P$ is a prime ideal of $R[x;\delta]$ such as $P\cap R=\{0\}$, is $P(Q[x;\delta])$ also prime?

In a left noetherian ring, does having a left inverse for an element guarantee the existence of right inverse for that element?

Are there rational coefficients that hold such properties?

A characterization for minimal left ideals of semisimple rings

$A \subseteq B \subseteq C$, with $A$ and $C$ simple rings, but $B$ is not a simple ring

Simplicity of Noetherian $B$, $A \subseteq B\subseteq C$, where $A$ and $C$ are simple Noetherian domains

Completion of localization equals the completion

Representations of an algebra

A characterization of semisimple module related to anihilators

Counterexample request: a surjective endomorphism of a finite module which is not injective

Two definitions of an $A$-algebra

What are the good reading books to learn cluster algebra?

Can anyone suggest me some books on Leavitt Path algebra?

Multiplicatively Closed subset of universal enveloping algebra $U(\mathfrak{g})$ which is not left localisable

For a countably infinite dimensional vector space, the localisation of $A= End_k(V)$ at surjective endomorphisms is the zero ring

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