عنوان
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z-clean and strongly z-clean rings
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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clean ring, z-clean ring, strongly z-clean ring.
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چکیده
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In this article we introduce the concept of z-clean and strongly z-clean rings. The ring R is said to be a z-clean ring if every element of R is sum of a zero divisor of R and an idempotent element of R. We present the necessary and sufficient condition when the clean rings, and z-clean rings become equivalent. We study various properties of the z-clean and strongly z-clean rings.
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پژوهشگران
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مریم رئوفی (نفر اول)، یحیی طالبی (نفر دوم)
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