✦ LIBER ✦

On the Classification of Stable Domains

✍ Scribed by Bruce Olberding

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 151 KB
Volume: 243
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8832

No coin nor oath required. For personal study only.

✦ Synopsis

In the second half of a two-part study of stable domains, we explore the extent to which the stability of an integral domain is determined by the stability of its prime and finitely generated ideals. This yields pullback theorems for stable domains, a method of constructing nonstandard examples of stable domains, and a complete classification of coherent stable domains. A non-coherent stable domain is constructed.

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