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Strongly nil *-clean rings
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نویسنده
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harmancı abdullah ,chen huanyin ,özcan a. çigdem
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منبع
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journal of algebra combinatorics discrete structures and applications - 2017 - دوره : 4 - شماره : 2 - صفحه:155 -164
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چکیده
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A *-ring r is called strongly nil *-clean if every element of r is the sum of a projection and a nilpotent element that commute with each other. in this paper we investigate some properties of strongly nil *- rings and prove that r is a strongly nil *-clean ring if and only if every idempotent in r is a projection, r is periodic, and r/j(r) is boolean. we also prove that a *-ring r is commutative, strongly nil*-clean and every primary ideal is maximal if and only if every element of r is a projection.
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کلیدواژه
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Rings with involution ,Strongly nil *-clean ring ,*-Boolean ring ,Boolean ring
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آدرس
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hacettepe university, department of mathematics, Turkey, hangzhou normal university, department of mathematics, China, hacettepe university, department of mathematics, Turkey
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پست الکترونیکی
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ozcan@hacettepe.edu.tr
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Authors
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