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International Journal of Statistika and Mathematika, ISSN: 2277- 2790 E-ISSN: 2249-8605

Volume 8, Issue 1, August 2013 pp 10-18

Research Article

Some Aspects on Integral Power of Near Ring Radicals

 Ripa Kataki

Department of Mathematics, B. Borooah College, Guwahati-7,Assam, INDIA.

Academic Editor:  Dr. Dase R.K.


In this paper we prove some results on left integral power of Nilpotent radical and Jacobson radical of a near ring N. The integral power of the nilpotent radical leads us to define s-rank of an N-group E having no infinite independent family of nonzero ideals of it. We see that this so called s-rank of E coincides with the sum of s-rank of an ideal M of it and s-rank of . Also we get some results if s-rank of E is zero. The structure of  left integral power of J in a strictly linearly ordered near ring exhibits some interesting facts in case of its D-regularity.

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