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Strong rightD-domains

✍ Scribed by Joachim Gräter

Publisher
Springer Vienna
Year
1989
Tongue
English
Weight
797 KB
Volume
107
Category
Article
ISSN
0026-9255

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TW-domains and Strong Mori domains
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✍ A. Mimouni 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 165 KB

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. Speciÿca

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We show that if R is a Strong Mori domain (SM domain) and T is a w-overdomain of R such that T ⊆ R wg , then T is an SM domain; if R is an SM domain, then R S

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✍ Mi Hee Park 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 173 KB

In this paper we study the transfer of the property of being a Strong Mori domain. In particular we give the characterizations of Strong Mori domains in certain types of pullbacks. We show that if R is a Strong Mori domain which is not a ÿeld, then the polynomial ring R[{X } ∈ ] is also a Strong Mor