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