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Authors
Affiliations
1 Department of Mathematics, Annamalai University, Annamalainagar-608 002, IN
2 Department of Mathematics (DDE), Annamalai University, Annamalainagar-608 002, IN
Source
The Journal of the Indian Mathematical Society, Vol 72, No 1-4 (2005), Pagination: 157-161
Abstract
In this paper we introduce the notion of Nc-pwe and strict Nc-pure near-rings. We have shown that a reduced near-ring N with identity is Nc-pure if and only if whenever e < a for some e ∉ Nc and ∈ N implies e = ea = and a - e is an idempotent element. We have also obtained an equivalent condition for a Nc pure near-ring to be strict Ncpure.