Question

Minimality of field of fractions expressed by functor

score 434 · Answer 1 · 2015-05-08 20:43:29

434

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Minimality of field of fractions expressed by functor

Published on 08 May 2015 - 20:43

score 258 · Answer 2 · 2026-03-25 03:00:24

258

Views

Extending an automorphism to the integral closure

Published on 25 Mar 2026 - 3:00

score 2.7k · Answer 3 · 2015-05-11 18:05:36

2.7k

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Prove $R\times S$ is not an integral domain

Published on 11 May 2015 - 18:05

score 436 · Answer 4 · 2015-05-16 06:54:18

436

Views

In a commutative ring with identity, if $p$ is irreducible, is ($p$) a maximal ideal?

Published on 16 May 2015 - 6:54

score 114 · Answer 5 · 2015-05-17 04:47:23

114

Views

A question on zero divisors

Published on 17 May 2015 - 4:47

score 366 · Answer 6 · 2015-05-27 00:02:30

366

Views

Basic question about finite fields and characteristic

Published on 27 May 2015 - 0:02

score 572 · Answer 7 · 2015-05-30 07:33:50

572

Views

Noetherian ring under some conditions has at least two minimal prime ideals

Published on 30 May 2015 - 7:33

score 134 · Answer 8 · 2015-05-31 14:11:27

134

Views

Does $\text{End}_R(I)=R$ always hold when $R$ is an integrally closed domain?

Published on 31 May 2015 - 14:11

score 79 · Answer 9 · 2015-06-01 04:02:02

79

Views

Congruences and the integers as an integral domain

Published on 01 Jun 2015 - 4:02

score 669 · Answer 10 · 2015-06-01 05:38:08

669

Views

Show that $R$ is an integral domain iff for all $ x, y, z\in R, xy = xz $ implies $y = z$.

Published on 01 Jun 2015 - 5:38

score 77 · Answer 11 · 2015-06-01 16:19:49

77

Views

Proving that for an integral domain $R$, $y\in (x)\iff (y)\subseteq (x)$.

Published on 01 Jun 2015 - 16:19

score 305 · Answer 12 · 2015-06-03 05:45:53

305

Views

Does $IJ=IK\implies J=K$ always hold for integral domain and finitely generated nonzero ideal $I$?

Published on 03 Jun 2015 - 5:45

score 190 · Answer 13 · 2015-06-03 14:53:00

190

Views

Let $R $ be an integral domain with identity. Prove that if $p $ is irreducible and $u$ is a unit, then $pu $ is irreducible.

Published on 03 Jun 2015 - 14:53

score 111 · Answer 14 · 2015-06-11 11:51:20

111

Views

Does $I(J\cap K)=IJ\cap IK$ hold in a finitely generated polynomial $K$-algebra for $K$ a field?

Published on 11 Jun 2015 - 11:51

score 1.3k · Answer 15 · 2026-03-26 19:15:48

1.3k

Views

Unique isomorphisms and universal properties

Published on 26 Mar 2026 - 19:15

List Question

Minimality of field of fractions expressed by functor

Extending an automorphism to the integral closure

Prove $R\times S$ is not an integral domain

In a commutative ring with identity, if $p$ is irreducible, is ($p$) a maximal ideal?

A question on zero divisors

Basic question about finite fields and characteristic

Noetherian ring under some conditions has at least two minimal prime ideals

Does $\text{End}_R(I)=R$ always hold when $R$ is an integrally closed domain?

Congruences and the integers as an integral domain

Show that $R$ is an integral domain iff for all $ x, y, z\in R, xy = xz $ implies $y = z$.

Proving that for an integral domain $R$, $y\in (x)\iff (y)\subseteq (x)$.

Does $IJ=IK\implies J=K$ always hold for integral domain and finitely generated nonzero ideal $I$?

Let $R $ be an integral domain with identity. Prove that if $p $ is irreducible and $u$ is a unit, then $pu $ is irreducible.

Does $I(J\cap K)=IJ\cap IK$ hold in a finitely generated polynomial $K$-algebra for $K$ a field?

Unique isomorphisms and universal properties

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