Nc-Pure Regular Near-rings

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Authors

  • Department of Mathematics, Annamalai University, Annamalainagar-608 002 ,IN
  • Department of Mathematics (DDE), Annamalai University, Annamalainagar-608 002 ,IN

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.

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Published

2005-12-01

How to Cite

Dheena, P., & Sivakumar, D. (2005). N<sub>c</sub>-Pure Regular Near-rings. The Journal of the Indian Mathematical Society, 72(1-4), 157–161. Retrieved from https://informaticsjournals.com/index.php/jims/article/view/21828