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Weak Bi-ideals of Near-rings

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Abstract

The notion of bi-ideals in near-rings was effectively used to characterize the near-felds. Using this notion, various generalizations of regularity conditions have been studied. In this paper, we generalize further the notion of bi-ideals and introduce the notion of weak bi-ideals in near-rings and obtain various characterizations using the same in left self distributive near-rings.

참고문헌 (4)

  1. "On left bi-potent near-rings", pp.99~107 (1979)
  2. "A note on regular rings", pp.465~468 (1956)
  3. "On Bi-ideals of near-rings", pp.1002~1005 (1987)
  4. "Quasi-ideals in near-rings", pp.41~46 (1983), Kyushu Univ

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