Cleanness of overrings of polynomial rings | ||
Journal of the Egyptian Mathematical Society | ||
Volume 24, Issue 1, 2016, Pages 1-4 PDF (358.91 K) | ||
DOI: 10.1016/j.joems.2014.08.003 | ||
Authors | ||
Hani A. Khashan; Worood Burhan | ||
Department of Mathematics, Al al-Bayt University, Mafraq, Jordan | ||
Abstract | ||
Let R be a commutative ring with identity. R is called clean (respectively, almost clean) if every element in R is a sum of an idempotent and a unit (respectively, a regular element). In this paper, we clarify conditions under which the two overrings RðxÞ and Rhxi of the ring of polynomials R½x are (almost) clean rings. | ||
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