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SOME RESULTS ON REDUCIBILITY AND STRONG REDUCIBILITY

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We investigate some properties of strongly reduced near-rings and left regular near-rings, also show that a strongly reduced near-ring is reduced. Next, we will characterize that reducibility, strong reducibility and left regularity in near-rings.

Abstract

We investigate some properties of strongly reduced near-rings and left regular near-rings, also show that a strongly reduced near-ring is reduced. Next, we will characterize that reducibility, strong reducibility and left regularity in near-rings.

참고문헌 (6)

  1. Hongan, M., "Note on strongly regular near-rings", Proc. Edinburgh Math. Soc., 통권 : 29, pp.379~381 (1986)
  2. Mason, G., "Strongly regular near-rings", Proc. Edinburgh Math. Soc., 통권 : 23, pp.27~35 (1980)
  3. Mason, G., "A note on strong forms of regularity for near-rings", Indian J. of Math., 40(2), pp.149~153 (1998)
  4. Murty, C. V. L. N., "Generalized near-elds", Proc. Edinburgh Math. Soc., pp.21~24 (1984)
  5. Pilz, G., "Near-Rings", pp.23~ (1983), North-Holland Publishing Company
  6. Reddy, Y. V., "On strongly regular near-rings", Proc. Edinburgh Math. Soc., pp.61~64 (1984)

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