A NOTE ON TYPES OF NOETHERIAN LOCAL RINGS
نویسندگان
چکیده
منابع مشابه
On Nonnil-Noetherian Rings
Let R be a commutative ring with 1 such that Nil(R) is a divided prime ideal of R. The purpose of this paper is to introduce a new class of rings that is closely related to the class of Noetherian rings. A ring R is called a Nonnil-Noetherian ring if every nonnil ideal of R is finitely generated. We show that many of the properties of Noetherian rings are also true for Nonnil-Noetherian rings; ...
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The present proposal is in part a continuation of the NSF Research Proposal Definability, Constructibility and Transfer (DMS-0100778/DMS-0302248 in the amount of $69,276; project details are given in §4.3 and the introduction to §5). Whereas the latter proposal was submitted via the division Foundations, in view of the underlying tools stemming from model-theory, the present proposal is cast en...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2002
ISSN: 1015-8634
DOI: 10.4134/bkms.2002.39.4.645