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MAL'CEV-NEUMANN SERIES OVER ZIP AND WEAK ZIP RINGS
Journal article   Peer reviewed

MAL'CEV-NEUMANN SERIES OVER ZIP AND WEAK ZIP RINGS

R. M. Salem, A. M. Hassanein and M. A. Farahat
Asian-European journal of mathematics, Vol.5(4), pp.1250058-1-1250058-9
01/12/2012
DOI: https://doi.org/10.1142/S1793557112500581

Abstract

Mathematics Physical Sciences Science & Technology
In this paper we show that: if G is a totally ordered group and R is a G-Armendariz ring (an NI ring with nil(R) is nilpotent), then the ring A - R((G; sigma; tau)) of Mal'cev-Neumann series is a right zip (weak zip) ring if and only if R is.

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