Weakly and strongly regular near-rings

Makaleler > Tam Makale · 2005

Yazarlar: Nurcan ARGAÇ, N J GROENEWALD

ALGEBRA COLLOQUIUM, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2005, cilt 12, ss 121-130

DOI: 10.1142/s1005386705000118

Özet

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.

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