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Title
A new characterization of discrete valuation rings
Type of Research Article
Keywords
discrete valuation ring, Gorenstein ring, socle
Abstract
The aim of this paper is to give a new characterization of discrete valuation rings, namely, it is shown that if (D,m) is a local (Noetherian) ring such that depthD > 0 and mk is principal ideal for some integer k ≥ 1, then D is a discrete valuation ring.
Researchers Reza Naghipour (First Researcher)، Monireh Sedghi (Second Researcher)