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On structure of certain periodic rings and near-rings

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  • Moharram A. Khan

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.

Suggested Citation

  • Moharram A. Khan, 2000. "On structure of certain periodic rings and near-rings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 24, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:525039
    DOI: 10.1155/S0161171200004853
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