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the secondary radicals of submodules
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نویسنده
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ansari-toroghy h. ,farshadifar f. ,mahboobi-abkenar f.
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منبع
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journal of algebraic structures and their applications - 2020 - دوره : 7 - شماره : 2 - صفحه:1 -13
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چکیده
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Let r be a commutative ring with identity and let m be an r-module. in this paper, we will introduce the secondary radical of a submodule n of m as the sum of all secondary submodules of m contained in n, denoted by sec^∗(n), and explore the related properties. we will show that this class of modules contains the family of second radicals properly and can be regarded as a dual of primary radicals of submodules of m.
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کلیدواژه
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secondary module ,completely irreducible submodule ,and secondary radical
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آدرس
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university of guilan, faculty of mathematical sciences, department of pure mathematics, iran, farhangian university, department of mathematics, iran, university of guilan, faculty of mathematical sciences, department of pure mathematics, iran
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پست الکترونیکی
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mahboobi@phd.guilan.ac.ir
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Authors
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