VALUATIVE HEIGHTS AND INFINITE NAGATA RINGS

Authors
AYACHE A CAHEN PJ ECHI O
Citation
A. Ayache et al., VALUATIVE HEIGHTS AND INFINITE NAGATA RINGS, Communications in algebra, 23(5), 1995, pp. 1913-1926
Citations number
19
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
23
Issue
5
Year of publication
1995
Pages
1913 - 1926
Database
ISI
SICI code
0092-7872(1995)23:5<1913:VHAINR>2.0.ZU;2-M
Abstract
We prove here that if the ring R has locally finite valuative dimensio n then the Nagata ring with infinite indeterminates R(infinity) is a s tably strong S-ring. We also study the catenarity of R(infinity).