Question

Prove that any element of this group ring is an associate to an element of the polynomial ring and that the group ring is an integral domain

score 102 · Answer 1 · 2017-12-16 19:11:48

102

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Prove that any element of this group ring is an associate to an element of the polynomial ring and that the group ring is an integral domain

Published on 16 Dec 2017 - 19:11

score 338 · Answer 2 · 2011-04-15 01:46:28

338

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How to prove that every algebraically closed integral domain is a field?

Published on 15 Apr 2011 - 1:46

score 25.7k · Answer 3 · 2026-02-23 22:48:49

25.7k

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Why is a finite integral domain always field?

Published on 23 Feb 2026 - 22:48

score 6.3k · Answer 4 · 2011-11-16 13:25:21

6.3k

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$a^m=b^m$ and $a^n=b^n$ imply $a=b$

Published on 16 Nov 2011 - 13:25

score 15.3k · Answer 5 · 2011-12-15 05:54:42

15.3k

Views

How to prove that the Frobenius endomorphism is surjective?

Published on 15 Dec 2011 - 5:54

score 8.5k · Answer 6 · 2012-01-06 00:17:16

8.5k

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Integral domain that is not a factorization domain

Published on 06 Jan 2012 - 0:17

score 3.6k · Answer 7 · 2012-02-04 13:44:05

3.6k

Views

Prove that $a=b$, where $a$ and $b$ are elements of the integral domain $D$

Published on 04 Feb 2012 - 13:44

score 2.1k · Answer 8 · 2012-03-30 09:42:24

2.1k

Views

Prove that an infinite ring with finite quotient rings is an integral domain

Published on 30 Mar 2012 - 9:42

score 1k · Answer 9 · 2012-04-14 21:59:05

1k

Views

Greatest Common Divisor implies Least Common Multiple?

Published on 14 Apr 2012 - 21:59

score 7k · Answer 10 · 2012-04-28 01:38:49

7k

Views

A subring of the field of fractions of a PID is a PID as well.

Published on 28 Apr 2012 - 1:38

score 4k · Answer 11 · 2012-05-02 19:50:24

4k

Views

What is the fraction field of $R[[x]]$, the power series over some integral domain?

Published on 02 May 2012 - 19:50

score 308 · Answer 12 · 2012-11-21 00:11:13

308

Views

A property of the resultant

Published on 21 Nov 2012 - 0:11

score 1.2k · Answer 13 · 2012-11-24 11:32:53

1.2k

Views

Proving a Certain $\mathbb{C}$-Algebra is a Domain Using a Specified Method

Published on 24 Nov 2012 - 11:32

score 1.3k · Answer 14 · 2012-11-28 16:30:00

1.3k

Views

Associates are unit multiples in an Integral Domain

Published on 28 Nov 2012 - 16:30

score 1.3k · Answer 15 · 2013-02-06 17:13:00

1.3k

Views

Can infinitely many primes lie over a prime?

Published on 06 Feb 2013 - 17:13

List Question

Prove that any element of this group ring is an associate to an element of the polynomial ring and that the group ring is an integral domain

How to prove that every algebraically closed integral domain is a field?

Why is a finite integral domain always field?

$a^m=b^m$ and $a^n=b^n$ imply $a=b$

How to prove that the Frobenius endomorphism is surjective?

Integral domain that is not a factorization domain

Prove that $a=b$, where $a$ and $b$ are elements of the integral domain $D$

Prove that an infinite ring with finite quotient rings is an integral domain

Greatest Common Divisor implies Least Common Multiple?

A subring of the field of fractions of a PID is a PID as well.

What is the fraction field of $R[[x]]$, the power series over some integral domain?

A property of the resultant

Proving a Certain $\mathbb{C}$-Algebra is a Domain Using a Specified Method

Associates are unit multiples in an Integral Domain

Can infinitely many primes lie over a prime?

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