The ideal of polynomials vanishing on a commutative ring

Authors
Gilmer, R
Citation
R. Gilmer, The ideal of polynomials vanishing on a commutative ring, P AM MATH S, 127(5), 1999, pp. 1265-1267
Citations number
5
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
5
Year of publication
1999
Pages
1265 - 1267
Database
ISI
SICI code
0002-9939(199905)127:5<1265:TIOPVO>2.0.ZU;2-C
Abstract
We determine equivalent conditions on a commutative Artinian ring S in orde r that the ideal of S[t] consisting of polynomials that vanish on S should be principal. Our results correct an error in a paper of Niven and Warren.