Authors
Citation
M. Einsiedler et S. Tuncel, When does a polynomial ideal contain a positive polynomial?, J PURE APPL, 164(1-2), 2001, pp. 149-152
Citations number
5
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN journal
00224049
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Volume
164
Issue
1-2
Year of publication
2001
Pages
149 - 152
Database
ISI
SICI code
0022-4049(20011024)164:1-2<149:WDAPIC>2.0.ZU;2-8
Abstract
We use Grobner bases and a theorem of Handelman to show that an ideal I of
R[x(1),...,x(k)] contains a polynomial with positive coefficients if and on
ly if no initial ideal in(nu)(I), V is an element of R-k, has a positive ze
ro. (C) 2001 Elsevier Science B.V. All rights reserved.