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June 16th, 2011, 09:31 AM   #1
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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.)
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June 16th, 2011, 03:37 PM   #2
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Re: A silly little question about terminology for a vector s

Usually K would be called scalar.
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June 17th, 2011, 01:57 PM   #3
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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.
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June 21st, 2011, 05:40 AM   #4
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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.
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June 29th, 2011, 01:51 AM   #5
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Re: A silly little question about terminology for a vector s

Thanks, I can finally rest easy.
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