On finitely generated modules whose first nonzero Fitting ideals are regular

A finitely generated $R$-module is said to be a module of type ($F_r$) if its $(r-1)$-th Fitting ideal is the zero ideal and its $r$-th Fitting ideal is a regular ideal. Let $R$ be a commutative ring and $N$ be a submodule of  $R^n$ which is generated by columns of  a matrix $A=(a_{ij})$ with $a_{ij...

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Bibliographic Details
Main Authors: Somayeh Hadjirezaei, Somayeh Karimzadeh
Format: Article
Language:English
Published: Shahid Beheshti University 2018-01-01
Series:Categories and General Algebraic Structures with Applications
Subjects:
Online Access:http://www.cgasa.ir/article_33815_d3b5aa2fdfd189b8c3c83fbb575f42f2.pdf