Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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LOWER FORMATION RADICAL FOR NEAR RINGS

  • Saxena, P.K. (Indian Institute of Technology) ;
  • Bhandari, M.C. (Indian Institute of Technology)
  • Published : 1978.06.20
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Abstract

In [7) Scott has defined C-formation radical for a class C of near rings and has studied its porperties under chain conditions. A natural question that arises is: Does there exist a Lower C-Formation radical class L(M) containing a given class M of ideals of near rings in C? In this paper we answer this by giving. two constructions for L(M) and prove that prime radical is hereditary.

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