Left prime weakly regular near-rings
AbstractIn 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 .
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