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IDENTITIES IN 3-PRIME NEAR-RINGS WITH LEFT MULTIPLIERS
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نویسنده
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boua a. ,ashraf m.
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منبع
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journal of algebra and related topics - 2018 - دوره : 6 - شماره : 1 - صفحه:67 -77
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چکیده
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Let n be a 3-prime near-ring with the center z(n ) and n ≥ 1 be a fixed positive integer. in the present paper it is shown that a 3-prime near-ring n is a commutative ring if and only if it admits a left multiplier f satisfying any one of the following properties: (i) f n([x, y]) ∈ z(n ), (ii) f n(x ◦ y) ∈ z(n ), (iii)f n([x, y])±(x◦ y) ∈ z(n ) and (iv)f n([x, y])±x◦ y ∈ z(n ), for all x, y ∈ n .
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کلیدواژه
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3-Prime near-ring ,derivations ,commutativity ,left multipliers
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آدرس
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sidi mohammed ben abdellah university, polydisciplinary faculty, lsi, department of mathematics physics and computer science, Morocco, aligarh muslim university, department of mathematics, India
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پست الکترونیکی
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mashraf80@hotmail.com
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Authors
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