h-supplemented modules and singularity
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نویسنده
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moniri hamzekolaee ali reza
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منبع
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journal of algebraic structures and their applications - 2020 - دوره : 7 - شماره : 1 - صفحه:49 -57
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چکیده
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Let m be a module over a ring r. we call m,δ-h-supplemented provided for every submodule n of m there is a direct summand d of m such that m=n+x if and only if m=d+x for every submodule x of m with m/x singular. we prove that m is δ-h-supplemented if and only if for every submodule n of m there exists a direct summand d of m such that (n+d)/n≪δm/n and (n+d)/d≪δm/d.
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کلیدواژه
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δ-small submodule ,h-supplemented module ,δ-h-supplemented module
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آدرس
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university of mazandaran, faculty of mathematical sciences, department of mathematics, iran
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پست الکترونیکی
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a.monirih@umz.ac.ir
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