East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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SOME RESULTS ON REDUCIBILITY AND STRONG REDUCIBILITY

  • Cho, Yong-Uk (DEPARTMENT OF MATHEMATICAL EDUCATION COLLEGE OF EDUCATION SILLA UNIVERSITY)
  • Received : 2009.11.26
  • Accepted : 2010.04.14
  • Published : 2010.05.31
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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.

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References

  1. Hongan, M., Note on strongly regular near-rings, Proc. Edinburgh Math. Soc. 29, (1986), 379-381. https://doi.org/10.1017/S001309150001782X
  2. Mason, G., Strongly regular near-rings, Proc. Edinburgh Math. Soc. 23 (1980), 27-35. https://doi.org/10.1017/S0013091500003564
  3. Mason, G., A note on strong forms of regularity for near-rings, Indian J. of Math. 40 no.2, (1998), 149-153.
  4. Murty, C. V. L. N., Generalized near-elds, Proc. Edinburgh Math. Soc. 27 (1984), 21-24. https://doi.org/10.1017/S0013091500022070
  5. Pilz, G., Near-Rings, North-Holland Publishing Company, Amsterdam, New York, Oxford 23 (1983).
  6. Reddy, Y. V. and Murty, C. V. L. N., On strongly regular near-rings, Proc. Edinburgh Math. Soc. 27 (1984), 61-64. https://doi.org/10.1017/S0013091500022136