On structure of certain periodic rings and near-rings

Moharram A. Khan

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 24, 1-6

Abstract:

The aim of this work is to study a decomposition theorem for rings satisfying either of the properties x y = x p f ( x y x ) x q or x y = x p f ( y x y ) x q , where p = p ( x , y ) , q = q ( x , y ) are nonnegative integers and f ( t ) ∈ t ℤ [ t ] vary with the pair of elements x , y , and further investigate the commutativity of such rings. Other related results are obtained for near-rings.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:525039

DOI: 10.1155/S0161171200004853

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