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A note on primitive near-rings

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강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2009.03|한국수학논문집 (Korean Journal of Mathematics)|제17권 제1호|pp. 113-125

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키워드

primitive near-ringN-modulesN-homomorphismsmonogenicdensity.
주제분류수학

초록

The present note is based on Wielandt's research. We generalize some of his methods and results. In particular, we present a density theorem for 0-primitive near-rings. We recall from Betsch's result some basic results on 2-primitive near-rings with identity.

Abstract

The present note is based on Wielandt's research. We generalize some of his methods and results. In particular, we present a density theorem for 0-primitive near-rings. We recall from Betsch's result some basic results on 2-primitive near-rings with identity.

참고문헌 (7)

  1. G. Betsch, "Some structure theorems on 2-primitive near-rings", Colloquia Mathematica Societatis Janos Bolyai. 6. Rings, Modules and Radicals, pp.73~102 (1971)
  2. A. H. Clifford, "The algebraic theory of semigroups, vol.1. Math-ematical Surveys no.7", Amer. Math. Soc., Providence R.I., ~ (1961)
  3. N. M. Jacobson, "Structure of rings", Amer. Math. Soc. Coll. Publ., XXXVII (1964)
  4. R. R. Laxton, "Primitive distributively generated near-rings", Mathematika, 8, pp.142~158 (1961)
  5. G. Pilz, "Near-rings" (1983), North Holland Publishing Company
  6. D. Ramakotaiah, "Structure of 1-primitive near-rings", Math. Z, 110, pp.15~26 (1969)
  7. H. Wielandt, , Unpublished manuscripts from the years 1937-1952., ~

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