Khashan, H., Burhan, W. (2016). Cleanness of overrings of polynomial rings. test, 24(1), 1-4. doi: 10.1016/j.joems.2014.08.003
Hani A. Khashan; Worood Burhan. "Cleanness of overrings of polynomial rings". test, 24, 1, 2016, 1-4. doi: 10.1016/j.joems.2014.08.003
Khashan, H., Burhan, W. (2016). 'Cleanness of overrings of polynomial rings', test, 24(1), pp. 1-4. doi: 10.1016/j.joems.2014.08.003
Khashan, H., Burhan, W. Cleanness of overrings of polynomial rings. test, 2016; 24(1): 1-4. doi: 10.1016/j.joems.2014.08.003

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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