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n-pure submodules of modules
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نویسنده
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farshadifar faranak
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منبع
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mathematics and computational sciences - 2024 - دوره : 5 - شماره : 4 - صفحه:48 -53
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چکیده
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Let r be a commutative ring, m an r-module, and n ≥ 1 an integer. in this paper, we introduce the concept of n-pure submodules of m as a generalization of pure submodules and obtain some related results. we say that a submodule n of m is a n-pure submodule of m if i1i2...inn = i1n ∩ i2n ∩ ...inn ∩ (i1i2...in)m for all proper ideals i1, i2, ...in of r.
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کلیدواژه
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pure submodules ,n-pure submodule ,multiplication module ,fully n-pure module
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آدرس
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farhangian university, department of mathematics education, iran
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پست الکترونیکی
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f.farshadifar@cfu.ac.ir
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Authors
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