Characterizations of Krull rings with zero divisors

Authors
Kang, BG
Citation
Bg. Kang, Characterizations of Krull rings with zero divisors, J PURE APPL, 146(3), 2000, pp. 283-290
Citations number
11
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF PURE AND APPLIED ALGEBRA
ISSN journal
00224049 → ACNP
Volume
146
Issue
3
Year of publication
2000
Pages
283 - 290
Database
ISI
SICI code
0022-4049(20000302)146:3<283:COKRWZ>2.0.ZU;2-A
Abstract
We show that a ring is a Krull ring if and only if every nonzero regular pr ime ideal contains a t-invertible prime ideal if and only if every proper r egular principal ideal is quasi-equal to a product of prime ideals. (C) 200 0 Elsevier Science B.V, All rights reserved.