On the embedding of a commutative ring in a local ring

Citation
R. Gilmer et W. Heinzer, On the embedding of a commutative ring in a local ring, ILL J MATH, 43(1), 1999, pp. 192-210
Citations number
23
Categorie Soggetti
Mathematics
Journal title
ILLINOIS JOURNAL OF MATHEMATICS
ISSN journal
00192082 → ACNP
Volume
43
Issue
1
Year of publication
1999
Pages
192 - 210
Database
ISI
SICI code
0019-2082(199921)43:1<192:OTEOAC>2.0.ZU;2-H
Abstract
Let R be a commutative ring with identity. We consider conditions in order that there exists an embedding of R in a local ring.. This leads naturally to an examination of conditions in order that a quasilocal ring (R, m) be d ominated by a local ring. This, in turn, leads to a study of extensions of the residue field of a quasilocal ring.