LCM-STABILITY OF POWER-SERIES EXTENSIONS CHARACTERIZES DEDEKIND DOMAINS

Authors
CONDO JT
Citation
Jt. Condo, LCM-STABILITY OF POWER-SERIES EXTENSIONS CHARACTERIZES DEDEKIND DOMAINS, Proceedings of the American Mathematical Society, 123(8), 1995, pp. 2333-2341
Citations number
16
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
8
Year of publication
1995
Pages
2333 - 2341
Database
ISI
SICI code
0002-9939(1995)123:8<2333:LOPECD>2.0.ZU;2-C
Abstract
In this paper we prove the following main result. A (communtative inte gral) domain R is a Dedeking domain if and only if R[[X]] subset of T[ [X]] is LCM-stable for each domain T containing R as a subring.