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The Dual Notion of Fuzzy Prime Submodules
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نویسنده
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ansari toroghy habibollah ,mahboobi abkenar farideh
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منبع
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journal of mathematical extension - 2019 - دوره : 13 - شماره : 2 - صفحه:17 -30
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چکیده
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Let r be a commutative ring and let m be an r-module. in this paper, we introduce the dual notion of fuzzy prime (that is, fuzzy second) submodules of m and explore some of the basic properties of this class of submodules. we say a non-zero fuzzy submodule µ of m is fuzzy second if for each r ∈ r, we have 1r.µ = µ or 1r.µ = 1θ. it is shown that the fuzzy second submodules is a proper subclass of the fuzzy coprimary submodules.
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کلیدواژه
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Fuzzy submodule ,fuzzy second submodule ,minimal fuzzy submodule
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آدرس
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university of guilan, faculty of mathematical sciences, 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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