Czechoslovak Mathematical Journal

Czechoslovak Mathematical Journal, Vol. 70, No. 4, pp. 1179-1190, 2020

Decomposition of finitely generated modules using Fitting ideals

Somayeh Hadjirezaei, Sina Hedayat

Received August 5, 2019. Published online July 9, 2020.

Abstract: Let $R$ be a commutative Noetherian ring and $M$ be a finitely generated $R$-module. The main result of this paper is to characterize modules whose first nonzero Fitting ideal is a product of maximal ideals of $R$, in some cases.

Keywords: Fitting ideal; torsion submodule; regular element

Classification MSC: 13C05, 13D05

DOI: 10.21136/CMJ.2020.0350-19

PDF available at: Springer Institute of Mathematics CAS Digital Mathematics Library

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Affiliations: Somayeh Hadjirezaei (corresponding author), Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O. Box 7718897111, Rafsanjan, Iran, e-mail: s.hajirezaei@vru.ac.ir; Sina Hedayat, Department of Pure Mathematics, Shahid Bahonar University of Kerman, 76169-14111, Kerman, Iran, e-mail: s-hedayat@uk.ac.ir

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