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notes on reduced, artinian and multiplication modules
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نویسنده
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a’zami jafar ,savaedi mahdieh
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منبع
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journal of hyperstructures - 2014 - دوره : 3 - شماره : 2 - صفحه:108 -115
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چکیده
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Let m be a unitary module over a commutative ring r with identity. in this paper we consider the concepts of artinian, semi-artinian, reduced and multiplication modules . also we call an r-module m radical, if it has no maximal submodule. by p(m) we denote the sum of the radical submodules of m and we show that p(m/(p(m)) = 0.
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کلیدواژه
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artinian modules ,associated primes ,semi-artinian modules ,multiplication modules ,reduced modules
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آدرس
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university of mohaghegh ardabili, faculty of mathematical sciences, department of mathematics, iran, islamic azad university, sosangerd branch, department of mathematics, iran
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پست الکترونیکی
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mahdieh.savaadi@gmail.com
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Authors
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