Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지
DOI QR코드

DOI QR Code

GENERALIZATION OF REGULARITY AND S-UNITALITY

  • Cho, Yong Uk (Department of Mathematics Education, College of Education, Silla University)
  • Received : 2012.06.22
  • Accepted : 2012.09.03
  • Published : 2013.05.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we introduce more general concepts of regularity and S-unitality, that is, ${\pi}$-regularity and ${\pi}S$-unitality and then give some examples in near-rings, also investigate their characterization and proper-ties.

Keywords

References

  1. J.C. Beidleman, A note on regular near-rings, J. Indian Math. Soc. 33 (1969) 207-210.
  2. H.E. Heatherly, On regular near-rings, J. Indian Math. Soc. 38 (1974) 345-354.
  3. Y. Hirano and H. Tominaga, Regular rings, V-rings and their generalizations, Hiroshima Math. J. 9 (1979) 137-149.
  4. M. Hongan, Note on strongly regular near-rings, Proc. Edn Math. Soc. 29 (1986) 379-381.
  5. S. Ligh, On regular near-rings, Math. Japon. (1970) 7-13.
  6. G. Mason, On strongly regular near-rings, Proc. Edn. Math. Soc. (1980) 27-36.
  7. G. Mason, A note on strong forms of regularity for near-rings, Indian J. of Math. (1998) 149-153.
  8. G. Pilz, Near-rings, North Holland Publishing Company, Amsterdam, New York, Oxford (1983).