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a characterization of finitely generated multiplication modules
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نویسنده
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karimzadeh somayeh ,hadjirezaei somayeh
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منبع
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categories and general algebraic structures with applications - 2016 - دوره : 4 - شماره : 1 - صفحه:63 -73
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چکیده
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Let r be a commutative ring with identity and m be a finitely generated unital rmodule. 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.
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کلیدواژه
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fitting ideals ,multiplication module ,projective module
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آدرس
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vali-e-asr university of rafsanjan, department of mathematics, ایران, vali-e-asr university of rafsanjan, department of mathematics, ایران
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پست الکترونیکی
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s.hajirezaei@vru.ac.ir
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Authors
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