Left prime weakly regular near-rings

Authors

  • P. Dheena
  • D. Sivakumar

DOI:

https://doi.org/10.5556/j.tkjm.36.2005.102

Abstract

In this paper we introduce the notion of left prime weakly regular, left primeweakly $ \pi $-regular and left prime pseudo $ \pi $-regular near-rings. We alsointroduce the concept of strong left prime weakly regular near-rings. We haveobtained conditions for a near-ring $ N $ to be left prime pseudo $ \pi $-regular.We have also obtained conditions for a near-ring $ N $ to be strong left primepseudo $ \pi $-regular. Finally we have answered the open question given in [1].

Author Biographies

P. Dheena

Department of Mathematics, Annmalai University, India.

D. Sivakumar

Department of Mathematics, D.D.E., Annamalai University, India.

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Published

2005-12-31

How to Cite

Dheena, P., & Sivakumar, D. (2005). Left prime weakly regular near-rings. Tamkang Journal of Mathematics, 36(4), 309–313. https://doi.org/10.5556/j.tkjm.36.2005.102

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Section

Papers