Kurosh-Amitsur Right Jacobson Radical of Type 0 for Right Near-RingsReport as inadecuate




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International Journal of Mathematics and Mathematical SciencesVolume 2008 2008, Article ID 741609, 6 pages

Research Article

Department of Mathematics, P.G.Centre, P.B. Siddhartha College of Arts and Science, Vijayawada-520010, Andhra Pradesh, India

Department of Mathematics, Chalapathi Institute of Engineering and Technology, Chalapathi Nagar, Lam, Guntur-522034, Andhra Pradesh, India

Department of Mathematics, Kakatiya University, Warangal-506009, Andhra Pradesh, India

Received 20 August 2007; Accepted 6 November 2007

Academic Editor: Howard E. Bell

Copyright © 2008 Ravi Srinivasa Rao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

By a near-ring we mean a right near-ring. , the right Jacobson radical of type 0, was introduced for near-rings by the first and second authors. In this paper properties of the radical are studied. It is shown that is a Kurosh-Amitsur radical KA-radical in the variety of all near-rings , in which the constant part of is an ideal of . So unlike the left Jacobson radicals of types 0 and 1 of near-rings, is a KA-radical in the class of all zero-symmetric near-rings. is not -hereditary and hence not an ideal-hereditary radical in the class of all zero-symmetric near-rings.





Author: Ravi Srinivasa Rao, K. Siva Prasad, and T. Srinivas

Source: https://www.hindawi.com/



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