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Extensions of Regular Rings
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نویسنده
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Safari Sabet Sh. A. ,Farmani M.
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منبع
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International Journal Of Industrial Mathematics - 2016 - دوره : 8 - شماره : 4 - صفحه:331 -337
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چکیده
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Let r be an associative ring with identity. an element x ? r is called zg-regular (resp. stronglyzg-regular) if there exist g ? g, n ? z and r ? r such that xng = xngrxng (resp. xng = x(n+1)g).a ring r is called zg-regular (resp. strongly zg-regular) if every element of r is zg-regular (resp.strongly zg-regular). in this paper, we characterize zg-regular (resp. strongly zg-regular) rings.furthermore, this paper includes a brief discussion of zg-regularity in group rings.
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کلیدواژه
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Group Ring ,$Pi$-Regular ,$Mathbb{Z}G$-Regular ,Strongly $Mathbb{Z}G$-Regular
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آدرس
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Department Of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran., ایران, Young Researchers And Elite Club, Roudehen Branch, Islamic Azad University, Roudehen, Iran., ایران
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پست الکترونیکی
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mino.farmani@gmail.com
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Authors
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