TW-domains and Strong Mori domains
نویسنده
چکیده
In this paper we are mainly concerned with TW -domains, i.e., domains in which the wand t-operations coincide. Precisely, we investigate possible connections with related well-known classes. We characterize the TW -property in terms of divisoriality for Mori domains and Noetherian domains. Speci5cally, we prove that a Mori domain R is a TW -domain if and only if RM is a divisorial domain for each t-maximal ideal M of R. It turns out that a Mori domain which is a TW -domain is a Strong Mori domain. The last section examines the transfer of the “TW -domain” and “Strong Mori” properties to pullbacks, in order to provide some original examples. c © 2002 Elsevier Science B.V. All rights reserved. MSC: 13G05; 13A15; 13E05
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