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Effect of Polynomial Identity x[x, y] = (x[x, vl) in the Comrnutativity of Rings
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نویسنده
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Tabatabaei z.
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منبع
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journal of mathematical extension - 2009 - دوره : 3 - شماره : 2 - صفحه:69 -75
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چکیده
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In this paper we study some sufficient conditions for commutativityof a ring according to jacobsons'idea. jacobson proved thatif r is a ring satisfying x^n == x (n > 1) for each x e r, thenr is commutative. in this paper, we show that r is commutative iffor every x, y e r there exists a positive integer n == n(x, y) such that(x[x, y])n == x[x, y].
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کلیدواژه
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Commutator ,left(right) s-unital ,left semisimploring ,Jacobson Radical ,left Primitive ring ,division ring ,faithfulsimple left R-module.
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آدرس
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islamic azad university, Department of Mathematics, ایران
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پست الکترونیکی
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parivash.tabatabaee@yahoo.com
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Authors
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