Question

Representing an algebra over a field using a quotient ring

score 55 · Answer 1 · 2026-03-25 04:36:49

55

Views

Representing an algebra over a field using a quotient ring

Published on 25 Mar 2026 - 4:36

score 306 · Answer 2 · 2026-03-25 07:42:37

306

Views

Representing an finite-dimensional algebra over a field using a quotient ring

Published on 25 Mar 2026 - 7:42

score 464 · Answer 3 · 2026-03-25 06:12:04

464

Views

Algebras finite-dimensional over their base field are Artinian.

Published on 25 Mar 2026 - 6:12

score 41 · Answer 4 · 2019-01-23 22:00:17

41

Views

If $\mathbb{Z}\ni \underbrace{z}_{\ne 0} \in I \trianglelefteq R:=\{a+\sqrt7b:a,b\in\mathbb{Z}\}$ then $[R:I] < \infty$

Published on 23 Jan 2019 - 22:00

score 161 · Answer 5 · 2026-03-25 06:02:00

161

Views

ideal extension in polynomial ring over quotient field

Published on 25 Mar 2026 - 6:02

score 139 · Answer 6 · 2026-03-26 20:40:40

139

Views

Inclusion preserving map between ideal spaces is continuous in the Fell topology

Published on 26 Mar 2026 - 20:40

score 165 · Answer 7 · 2026-03-27 15:15:46

165

Views

$I$ an irreducible ideal in a PID is a prime ideal

Published on 27 Mar 2026 - 15:15

score 236 · Answer 8 · 2026-02-23 02:31:29

236

Views

On integral closedness of formal power series ring over an integrally closed domain satisfying Krull intersection principle

Published on 23 Feb 2026 - 2:31

score 70 · Answer 9 · 2019-01-25 09:09:11

70

Views

Is it true that the generators of a commutative ring is finite?

Published on 25 Jan 2019 - 9:09

score 34 · Answer 10 · 2026-03-26 02:56:21

34

Views

There exists an element $x$ of $M$ such that $W^{-1}R\dfrac{x}{1}=W^{-1}Rz$ and $\operatorname{ann}_R x=\operatorname{ann}_{W^{-1}R} z\cap R$

Published on 26 Mar 2026 - 2:56

score 252 · Answer 11 · 2026-03-25 06:06:39

252

Views

On ideal quotient of intersection of fractional ideals

Published on 25 Mar 2026 - 6:06

score 1.4k · Answer 12 · 2019-01-26 22:11:41

1.4k

Views

The radical of the product of two ideals is the intersection of the radicals of the ideals

Published on 26 Jan 2019 - 22:11

score 82 · Answer 13 · 2026-03-27 03:00:10

82

Views

cancellation ideals in Noetherian domain

Published on 27 Mar 2026 - 3:00

score 406 · Answer 14 · 2026-03-22 15:17:30

406

Views

Primary ideals are those whose quotient has irreducible prime spectrum.

Published on 22 Mar 2026 - 15:17

score 193 · Answer 15 · 2019-01-29 23:39:56

193

Views

When the element-wise product of two ideals produces an ideal

Published on 29 Jan 2019 - 23:39

List Question

Representing an algebra over a field using a quotient ring

Representing an finite-dimensional algebra over a field using a quotient ring

Algebras finite-dimensional over their base field are Artinian.

If $\mathbb{Z}\ni \underbrace{z}_{\ne 0} \in I \trianglelefteq R:=\{a+\sqrt7b:a,b\in\mathbb{Z}\}$ then $[R:I] < \infty$

ideal extension in polynomial ring over quotient field

Inclusion preserving map between ideal spaces is continuous in the Fell topology

$I$ an irreducible ideal in a PID is a prime ideal

On integral closedness of formal power series ring over an integrally closed domain satisfying Krull intersection principle

Is it true that the generators of a commutative ring is finite?

There exists an element $x$ of $M$ such that $W^{-1}R\dfrac{x}{1}=W^{-1}Rz$ and $\operatorname{ann}_R x=\operatorname{ann}_{W^{-1}R} z\cap R$

On ideal quotient of intersection of fractional ideals

The radical of the product of two ideals is the intersection of the radicals of the ideals

cancellation ideals in Noetherian domain

Primary ideals are those whose quotient has irreducible prime spectrum.

When the element-wise product of two ideals produces an ideal

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