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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 the field of scalars for . 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.


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