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A class of bounded hereditary noetherian domains

✍ Scribed by Vlastimil Dlab; Claus Michael Ringel


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
642 KB
Volume
92
Category
Article
ISSN
0021-8693

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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 n

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Over the past 60 years, important examples of Noetherian domains have been constructed using power series, homomorphic images, and intersections. In these constructions it is often crucial that the resulting domain is computable as a directed union. In this article we analyse this construction and s