Weakly and strongly regular near-rings
Articles > Article · 2005
Authors: Nurcan ARGAÇ, N J GROENEWALD
ALGEBRA COLLOQUIUM, Journal Indexed in SCI Expanded, International, 2005, vol 12, pp 121-130
DOI: 10.1142/s1005386705000118
Summary
In this paper, we prove some basic properties of left weakly regular near-rings. We give an affirmative answer to the question whether a left weakly regular near-ring with left unity and satisfying the IFP is also right weakly regular. In the last section, we use among others left 0-prime and left completely prime ideals to characterize strongly regular near-rings.