TW-domains and Strong Mori domains

✍ Scribed by A. Mimouni

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 165 KB
• Volume: 177
• Category: Article
• ISSN: 0022-4049
• DOI: 10.1016/s0022-4049(02)00171-8

✦ Synopsis

In this paper we are mainly concerned with TW -domains, i.e., domains in which the w-and 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. Speciÿcally, 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.