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Title
Locally Unmixed Modules and Linearly Equivalent Ideal Topologies
Type of Research Article
Keywords
Keywords Analytic spread · Locally unmixed modules · Ideal topologies · Rees ring.
Abstract
Let R be a commutative Noetherian ring, and let N be a non-zero finitely generated R-module. The purpose of this paper is to show that N is locally unmixed if and only if, for any N-proper ideal I of R generated by htN I elements, the topology defined by (IN)(n), n ≥ 0, is linearly equivalent to the I -adic topology.
Researchers Monireh Sedghi (First Researcher)، Mona Bahadorian (Second Researcher)، Reza Naghipour (Third Researcher)