My Math Forum A silly little question about terminology for a vector space

 Linear Algebra Linear Algebra Math Forum

 June 16th, 2011, 09:31 AM #1 Member   Joined: Nov 2009 Posts: 72 Thanks: 0 A silly little question about terminology for a vector space If V is a vector space over a field K, is there any term for K in terms of V? I mean something that would fit into this kind of phrase: "K is the ____________ of V". (something like "base field", but it's probably not that since I'm just making it up off the top of my head.)
 June 16th, 2011, 03:37 PM #2 Global Moderator   Joined: May 2007 Posts: 6,821 Thanks: 723 Re: A silly little question about terminology for a vector s Usually K would be called scalar.
 June 17th, 2011, 01:57 PM #3 Member     Joined: Jun 2011 From: California Posts: 82 Thanks: 3 Math Focus: Topology Re: A silly little question about terminology for a vector s In this case, you might call $K$ the field of scalars for $V$. The usual field of scalars for a vector space is either the real line or the complex plane.
 June 21st, 2011, 05:40 AM #4 Math Team   Joined: Sep 2007 Posts: 2,409 Thanks: 6 Re: A silly little question about terminology for a vector s K is the "underlying field" for vector space V. The phrase "field of scalars",as mathematical says, would also work.
 June 29th, 2011, 01:51 AM #5 Member   Joined: Nov 2009 Posts: 72 Thanks: 0 Re: A silly little question about terminology for a vector s Thanks, I can finally rest easy.

 Tags question, silly, space, terminology, vector

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post hahoangcao Linear Algebra 1 January 27th, 2014 01:23 PM student42 Real Analysis 2 August 10th, 2013 05:59 AM vascosca Linear Algebra 2 February 15th, 2013 12:47 PM Student444 Linear Algebra 3 March 17th, 2012 08:41 PM aaron-math Calculus 2 January 28th, 2012 11:53 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top