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Maximal Non-Noetherian Subrings of a Domain

✍ Scribed by Ahmed Ayache; Noômen Jarboui

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
144 KB
Volume
248
Category
Article
ISSN
0021-8693

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✦ Synopsis

The main purpose of this paper is to study maximal non-Noetherian subrings R of a domain S. We give characterizations of such domains in several cases. If the ring R is semi-local, R S is a residually algebraic pair and R is a maximal non-Noetherian subring of S, we give sharp upper bounds for the number of rings and the length of chains of rings in R S , the set of intermediary rings.  2002 Elsevier Science (USA)

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