Authors
Citation
A. Ayache, ABOUT A CONJECTURE ON NAGATA RINGS, Journal of pure and applied algebra, 98(1), 1995, pp. 1-5
Citations number
13
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
ISSN journal
00224049
Volume
98
Issue
1
Year of publication
1995
Pages
1 - 5
Database
ISI
SICI code
0022-4049(1995)98:1<1:AACONR>2.0.ZU;2-3
Abstract
This paper provides a counterexample to a conjecture on Nagata rings:
a two-dimensional quasi-local domain such that, for every n, the Nagat
a ring A(n) is strong S (and also catenary) but for n greater-than-or-
equal-to 1, the polynomial ring A[n] is not strong S (nor catenary).