TY - JOUR
ID - 12667
TI - A characterization of finitely generated multiplication modules
JO - Categories and General Algebraic Structures with Applications
JA - CGASA
LA - en
SN - 2345-5853
AU - Karimzadeh, Somayeh
AU - Hadjirezaei, Somayeh
AD - Department of Mathematics, Vali-e-Asr University of Rafsanjan, P.O. Box 7718897111, Rafsanjan, Iran.
Y1 - 2016
PY - 2016
VL - 4
IS - 1
SP - 63
EP - 74
KW - Fitting ideals
KW - multiplication module
KW - projective module
DO -
N2 - Let $R$ be a commutative ring with identity and $M$ be a finitely generated unital $R$-module. In this paper, first we give necessary and sufficient conditions that a finitely generated module to be a multiplication module. Moreover, we investigate some conditions which imply that the module $M$ is the direct sum of some cyclic modules and free modules. Then some properties of Fitting ideals of modules which are the direct sum of finitely generated module and finitely generated multiplication module are shown. Finally, we study some properties of modules that are the direct sum of multiplication modules in terms of Fitting ideals.
UR - https://cgasa.sbu.ac.ir/article_12667.html
L1 - https://cgasa.sbu.ac.ir/article_12667_7069a62adca415a4a7178c2d5b4804a7.pdf
ER -