Graded near-rings
Dumitru Mariana, Năstăsescu Laura, Toader Bogdan
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica · 2016
doi:10.1515/auom-2016-0011 (opens in a new tab)
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Abstract
In this paper, we consider graded near-rings over a monoid G as generalizations of graded rings over groups, and study some of their basic properties. We give some examples of graded near-rings having various interesting properties, and we define and study the Gop-graded ring associated to a G-graded abelian near-ring, where G is a left cancellative monoid and Gop is its opposite monoid. We also compute the graded ring associated to the graded near-ring of polynomials (over a commutative ring R) whose constant term is zero.
Abstract licence: CC BY-NC-ND
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