My Math Forum Factorial Domain

 Abstract Algebra Abstract Algebra Math Forum

 May 28th, 2014, 11:23 AM #1 Newbie     Joined: May 2014 From: Brandon, MS Posts: 2 Thanks: 0 Factorial Domain I need to find a factorial domain which does not contain a field. I know a factorial domain is an integral domain where every non-unit has a unique factorization. I know an integral domain is a ring whose non-zero elements are non-zero divisors. Help!
 May 28th, 2014, 12:11 PM #2 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms What does it mean to contain a field? Surely the set containing only 0 and 1 is a subring and this ring is itself a field. (All domains contain distinct elements 0 and 1.)
 May 28th, 2014, 01:28 PM #3 Senior Member   Joined: Nov 2010 From: Berkeley, CA Posts: 174 Thanks: 35 Math Focus: Elementary Number Theory, Algebraic NT, Analytic NT But 1+1 is not necessarily equal to 0, so {0,1} may not be closed under addition.
 May 28th, 2014, 02:13 PM #4 Senior Member   Joined: Mar 2012 Posts: 294 Thanks: 88 Hint: there is an obvious one you have known since childhood.

 Tags domain, factorial, field

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post rakmo Algebra 5 June 16th, 2013 09:13 AM ZardoZ Real Analysis 15 April 17th, 2013 12:47 AM thomasthomas Number Theory 13 November 6th, 2010 06:21 AM good_phy Calculus 1 October 12th, 2008 09:26 AM sangfroid Number Theory 8 September 15th, 2008 04:28 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top