• D RADHA
• C RAJA LAKSHMI

In a ring (N,+,.) if we ignore commutativity of + and one distributive law, then (N,+,.) is a near-ring. If we do not stipulate the left distributive law, then (N,+,.) is a right near-ring. Let P be any ideal of the near-ring N. Then the near-ring N is said to be P-regular near-ring if for each a in N, there exist an element x in N such that a=axa+p, for some p in P. In 1991, S.J.Choi extends some results of P-regularity in rings to P-regularity in near-rings. In this paper, P-weak regularity in near-ring was defined. Also, some results on P-weakly regular near-rings were discussed.

Regularity, reduced, prime ideal, completely semiprime ideal, simple domain, P-left weakly regular near-rings.

"A STUDY ON P-WEAKLY REGULAR NEAR-RING", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.159-163, June 2019, Available :http://www.jetir.org/papers/JETIR1907Q70.pdf

"A STUDY ON P-WEAKLY REGULAR NEAR-RING", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp159-163, June 2019, Available at : http://www.jetir.org/papers/JETIR1907Q70.pdf