Topics on the Ratliff-Rush Closure of an Ideal

Introduction Let  be a Noetherian ring with unity and    be a regular ideal of , that is,  contains a nonzerodivisor. Let . Then . The :union: of this family, , is an interesting ideal first studied by Ratliff and Rush in [15]. ‎  The Ratliff-Rush closure of  ‎ is defined by‎ . ‎ A regular ideal  fo...

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Bibliographic Details
Main Authors: Amir Mafi, ssh Arkian
Format: Article
Language:fas
Published: Kharazmi University 2019-08-01
Series:پژوهش‌های ریاضی
Subjects:
Online Access:http://mmr.khu.ac.ir/article-1-2674-en.html