REPRESENTATIONS OF REGULAR-RINGS OF FINITE INDEX .2.

Authors
CARSON AB
Citation
Ab. Carson, REPRESENTATIONS OF REGULAR-RINGS OF FINITE INDEX .2., Communications in algebra, 21(11), 1993, pp. 4173-4177
Citations number
10
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
21
Issue
11
Year of publication
1993
Pages
4173 - 4177
Database
ISI
SICI code
0092-7872(1993)21:11<4173:ROROFI>2.0.ZU;2-5
Abstract
We show that there exists a on Neumann regular ring R of finite index such that there does not exist a (logical) elementary extension S of R such that all of the stalks of the Pierce sheaf k(S) of S are artinia n. However (we show) such an S can always be found, if the requirement that it be an elementary extension of R is slightly relaxed.