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Morphic Elements in Regular Near-rings

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We define morphic near-ring elements and study their behavior in regular near-rings. We show that the class of left morphic regular near-rings is properly contained between the classes of left strongly regular and unit-regular near-rings.

Abstract

We define morphic near-ring elements and study their behavior in regular near-rings. We show that the class of left morphic regular near-rings is properly contained between the classes of left strongly regular and unit-regular near-rings.

참고문헌 (22)

  1. N. Argac, "Weakly and strongly regular near-rings", Algebra Colloq, 12, pp.121~130 (2005)
  2. H. E. Bell, "Near-rings in which each element is a power of itself", Bull. Aust. Math. Soc, 2, pp.363~368 (1970)
  3. A. Benini, "Weakly divisible nearrings", Discrete Math., 208, pp.209 (1999), 49~59
  4. A. Benini, "Finite weakly divisible nearrings", Riv. Mat. Univ. Parma(8), 2, pp.101~116 (2009)
  5. J. Chen, "Morphic group rings", J. Pure Appl. Algebra, 205, pp.621~639 (2006)
  6. G. Ehrlich, "Unit-regular rings", Portugal. Math, 27, pp.209~212 (1968)
  7. G. Ehrlich, "Units and one-sided units in regular rings", Trans. Amer. Math. Soc, 216, pp.81~90 (1976)
  8. G. Ferrero, "Nearrings : some developments linked to semigroups and groups" (2012), Springer Publishing Co. Inc.
  9. K. R. Goodearl, "Von Neumann regular rings" (1979), Advanced Publishing Program
  10. H. E. Heatherly, "Near-rings with a special condition on idempotents", Math. Pannon, 10, pp.197~209 (1999)
  11. T. -K. Lee, "Morphic rings and unit regular rings", J. Pure Appl. Algebra, 210, pp.501~510 (2007)
  12. T. -K. Lee, "A theorem on unit-regular rings", Canad. Math. Bull, 53, pp.321~326 (2010)
  13. Y. Li, "Ehrlich’s theorem for groups", Bull. Aust. Math. Soc, 81, pp.304~309 (2010)
  14. Y. Li, "Morphic groups", J. Pure Appl. Algebra, 214, pp.1827~1834 (2010)
  15. G. Mason, "Strongly regular near-rings", Proc. Edinburgh Math. Soc, 23, pp.27~35 (1980)
  16. J. D. P. Meldrum, "Near-rings and their links with groups" (1985), Pitman
  17. P. Nandakumar, "On weakly π-subcommutative near-rings", Bull. Malays. Math. Sci. Soc, 32, pp.131~136 (2009)
  18. W. K. Nicholson, "Rings with the dual of the isomorphism theorem", J. Algebra, 271, pp.391~406 (2004)
  19. W. K. Nicholson, "Principal rings with the dual of the isomorphism theorem", Glasgow Math. J, 46, pp.181~191 (2004)
  20. W. K. Nicholson, "Morphic modules", Comm. Algebra, 33, pp.2629~2647 (2005)
  21. G. Pilz, Near-rings, "Near-rings, the theory and its applications" (1983), North Holland
  22. Y. V. Reddy, "On strongly regular near-rings", Proc. Edinburgh Math. Soc, 27, pp.61~64 (1984)

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