Sums of squares in real rings-Reference-Cited by-同舟云学术

Sums of squares in real rings

Published:2003-10-08 Issue:7 Volume:356 Page:2663-2684
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Fernando José,Ruiz Jesús,Scheiderer Claus

Abstract

Let A A be an excellent ring. We show that if the real dimension of A A is at least three then A A has infinite Pythagoras number, and there exists a positive semidefinite element in A A which is not a sum of squares in A A .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2004-356-07/S0002-9947-03-03438-X/S0002-9947-03-03438-X.pdf

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