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Kurosh-Amitsur Right Jacobson Radical of Type 0 for Right Near-Rings

Author

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  • Ravi Srinivasa Rao
  • K. Siva Prasad
  • T. Srinivas

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.

Suggested Citation

  • Ravi Srinivasa Rao & K. Siva Prasad & T. Srinivas, 2008. "Kurosh-Amitsur Right Jacobson Radical of Type 0 for Right Near-Rings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2008, pages 1-6, February.
    • Handle: RePEc:hin:jijmms:741609
    DOI: 10.1155/2008/741609
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