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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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