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sums of units in some classes of neat rings
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نویسنده
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pouyan n.
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منبع
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journal of algebraic systems - 2022 - دوره : 10 - شماره : 1 - صفحه:147 -153
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چکیده
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A ring r is said to be clean if every element of r is a sum of an idempotent and a unit. a ring r is a neat ring if every nontrivial homomorphic image is clean. in this paper, first, it is proved that every element of some classes of neat rings is n-tupletgood if no factor ring of such rings isomorphic to a field of order less than n + 2. also by considering the structure of fgc rings, it can be proved that some clasess of fgc rings are n-tuplet-good.
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کلیدواژه
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unit sum number ,n-tuplet-good ,neat ring ,fgc ring
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آدرس
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shahid chamran university of ahvaz, university of shohadaye hoveizeh campus of technology, department of mechanical engineering, iran
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پست الکترونیکی
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n.pouyan@scu.ac.ir ;neda.pouyan@gmail.com
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Authors
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