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On stable domains

✍ Scribed by Manfred Droste


Book ID
107948758
Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
858 KB
Volume
111
Category
Article
ISSN
0304-3975

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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 s

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A contemporary approach to studying commutative rings is to take a given theorem for abelian groups, then interpret the statement for a ring R. The validity of the new statement for R usually imposes some w x restrictions upon the structure of R. Warfield 32 showed that for torsion-free abelian grou