Question

Division of an irreducible element in a PID

score 110 · Answer 1 · 2018-04-10 12:11:11

110

Views

Division of an irreducible element in a PID

Published on 10 Apr 2018 - 12:11

score 1.1k · Answer 2 · 2026-03-26 11:17:40

1.1k

Views

Maximal linearly independent subsets in module over a domain has the same number of elements.

Published on 26 Mar 2026 - 11:17

score 54 · Answer 3 · 2026-03-25 03:01:42

54

Views

Idempotents: $e$ a primitive and $f$ an arbitrary idempotent, then $\dim eA\mid\dim\ fA$?

Published on 25 Mar 2026 - 3:01

score 597 · Answer 4 · 2018-04-10 15:36:05

597

Views

Is every subring of a principal ideal ring also a principal ideal ring?

Published on 10 Apr 2018 - 15:36

score 34 · Answer 5 · 2018-04-10 15:51:21

34

Views

Reducibility of a polynomial using Eisensteins criterion

Published on 10 Apr 2018 - 15:51

score 757 · Answer 6 · 2018-04-10 16:05:37

757

Views

In any ring with unity, does $ab=1$ implies $ba=1$?

Published on 10 Apr 2018 - 16:05

score 99 · Answer 7 · 2026-03-26 11:16:29

99

Views

Computing Tensor products of modules

Published on 26 Mar 2026 - 11:16

score 60 · Answer 8 · 2018-04-10 21:08:31

60

Views

Showing that the fraction field of $\Bbb Z[[t]]$ is strictly contained in the Laurent formal series field $\Bbb Q((t))$

Published on 10 Apr 2018 - 21:08

score 410 · Answer 9 · 2026-03-25 11:32:34

410

Views

Finding a homomorphism from a polynomial to matrix

Published on 25 Mar 2026 - 11:32

score 223 · Answer 10 · 2018-04-11 08:30:57

223

Views

$\phi: A^n \to A^n$ be any injective $A$ linear map,will $\phi$ be surjective?

Published on 11 Apr 2018 - 8:30

score 135 · Answer 11 · 2026-03-25 21:22:52

135

Views

Example of ring that contains an infinite chain of principal ideal

Published on 25 Mar 2026 - 21:22

score 107 · Answer 12 · 2018-04-11 11:30:04

107

Views

Any set of $n$ linearly independent elements in $A^n$ form a basis.

Published on 11 Apr 2018 - 11:30

score 93 · Answer 13 · 2026-03-25 01:24:58

93

Views

Noetherian domain and localization

Published on 25 Mar 2026 - 1:24

score 274 · Answer 14 · 2018-04-11 15:35:47

274

Views

How do we find ideals the ring $\mathbb R[X_0, X_1, ..., X_n,...]$? How do we show that each of these ideals are not finitely generated?

Published on 11 Apr 2018 - 15:35

score 151 · Answer 15 · 2026-03-26 21:26:05

151

Views

Determine whether or not the modules over $R=\mathbb{C}[x,y]$ presented by the following matrices are free

Published on 26 Mar 2026 - 21:26

List Question

Division of an irreducible element in a PID

Maximal linearly independent subsets in module over a domain has the same number of elements.

Idempotents: $e$ a primitive and $f$ an arbitrary idempotent, then $\dim eA\mid\dim\ fA$?

Is every subring of a principal ideal ring also a principal ideal ring?

Reducibility of a polynomial using Eisensteins criterion

In any ring with unity, does $ab=1$ implies $ba=1$?

Computing Tensor products of modules

Showing that the fraction field of $\Bbb Z[[t]]$ is strictly contained in the Laurent formal series field $\Bbb Q((t))$

Finding a homomorphism from a polynomial to matrix

$\phi: A^n \to A^n$ be any injective $A$ linear map,will $\phi$ be surjective?

Example of ring that contains an infinite chain of principal ideal

Any set of $n$ linearly independent elements in $A^n$ form a basis.

Noetherian domain and localization

How do we find ideals the ring $\mathbb R[X_0, X_1, ..., X_n,...]$? How do we show that each of these ideals are not finitely generated?

Determine whether or not the modules over $R=\mathbb{C}[x,y]$ presented by the following matrices are free

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