Department of Mathematics, Al al-Bayt University, Mafraq, Jordan
10.21608/joems.2016.386714
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.
Khashan, H., & Burhan, W. (2016). Cleanness of overrings of polynomial rings. Journal of the Egyptian Mathematical Society, 24(1), 1-4. doi: 10.21608/joems.2016.386714
MLA
Hani A. Khashan; Worood Burhan. "Cleanness of overrings of polynomial rings". Journal of the Egyptian Mathematical Society, 24, 1, 2016, 1-4. doi: 10.21608/joems.2016.386714
HARVARD
Khashan, H., Burhan, W. (2016). 'Cleanness of overrings of polynomial rings', Journal of the Egyptian Mathematical Society, 24(1), pp. 1-4. doi: 10.21608/joems.2016.386714
VANCOUVER
Khashan, H., Burhan, W. Cleanness of overrings of polynomial rings. Journal of the Egyptian Mathematical Society, 2016; 24(1): 1-4. doi: 10.21608/joems.2016.386714
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