List questions from integral-domain

Published on 01 Nov 2013 - 16:04

3.5k

Views

Proving that any finite integral domain is a field.

Published on 08 Nov 2013 - 1:20

102

Views

On principal non-maximal ideal

Published on 13 Nov 2013 - 11:44

541

Views

Principal ideal of an integrally closed domain

Published on 20 Nov 2013 - 10:14

1.6k

Views

Prime ideal in a polynomial ring over an integrally closed domain

Published on 20 Nov 2013 - 12:22

48

Views

$R\cong\mathbb{Z}$ or $R\cong\mathbb{Z}/p\mathbb{Z}$ ($p$ prime)

Published on 23 Nov 2013 - 23:12

120

Views

$a\in R\setminus\left\{ 0\right\}$ is irreducible iff $Ra$ is a maximal-principal-ideal (maximal among principal ideals)

Published on 27 Nov 2013 - 13:44

175

Views

Span of a f.g. $R$-module over the quotient field of $R$.

Published on 03 Dec 2013 - 19:01

345

Views

Quotient ring of $\Bbb Z[x]$ by an irreducible polynomial is a PID

Published on 04 Dec 2013 - 15:09

298

Views

Question about integral domains

Published on 08 Dec 2013 - 2:31

1.5k

Views

Commutative integral domain does not finitely generate its field of fractions

Published on 08 Dec 2013 - 12:38

153

Views

Stewart's Calculus (6 edn 2007) : p. 1097. §16.8, Exercise #4.

Published on 10 Dec 2013 - 0:59

1.3k

Views

Noetherian ring and prime ideal contained in an invertible maximal ideal.

Published on 13 Dec 2013 - 14:28

126

Views

Integral domain characteristic: contradictory ideas?

Published on 15 Dec 2013 - 0:39

4k

Views

Specific way of showing $\Bbb Z[\sqrt{-d}]$ is not a Euclidean Domain when $d>2$

Published on 15 Dec 2013 - 7:56

List Question

Is $\mathbb{Z}[1/p]$ an euclidean domain?

Proving that any finite integral domain is a field.

On principal non-maximal ideal

Principal ideal of an integrally closed domain

Prime ideal in a polynomial ring over an integrally closed domain

$R\cong\mathbb{Z}$ or $R\cong\mathbb{Z}/p\mathbb{Z}$ ($p$ prime)

$a\in R\setminus\left\{ 0\right\}$ is irreducible iff $Ra$ is a maximal-principal-ideal (maximal among principal ideals)

Span of a f.g. $R$-module over the quotient field of $R$.

Quotient ring of $\Bbb Z[x]$ by an irreducible polynomial is a PID

Question about integral domains

Commutative integral domain does not finitely generate its field of fractions

Stewart's Calculus (6 edn 2007) : p. 1097. §16.8, Exercise #4.

Noetherian ring and prime ideal contained in an invertible maximal ideal.

Integral domain characteristic: contradictory ideas?

Specific way of showing $\Bbb Z[\sqrt{-d}]$ is not a Euclidean Domain when $d>2$

Trending Questions

Popular # Hahtags

Popular Questions