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Original Articles

Group Homomorphism Generated Near-Rings and Rings: A Unity Not Fixing Each Element of the Group

Pages 2029-2041 | Received 08 Jun 1999, Published online: 11 Dec 2006

References

  • Birkenmeier , G. , Heatherly , H. and Pilz , G. 1997a . Homomorphisms on groups I: distributive and d.g. near-rings . Comm. Algebra , 25 : 185 – 211 .
  • Birkenmeier , G. , Heatherly , H. and Pilz , G. 1997b . “ Near-rings and rings generated by homomorphisms on groups ” . In Nearrings, Nearfields and K-Loops Edited by: Saad , G. and Thomsen , M. 199 – 210 . Netherlands : Kluwer Academic Publishers .
  • Caranti , A. , Franciosi , S. and de Giovanni , F. 1987 . “ Some examples of infinite groups in which each element commutes with its endomorphic images ” . In Group Theory , Lecture Notes in Math. 1281 9 – 17 . New York : Springer-Verlag .
  • Faudree , R. 1971 . Groups in which each element commutes with its endomorphic image . Proc. Amer. Math. Soc. , 27 : 236 – 240 .
  • Malone , J. 1977 . More on groups in which each element commutes with its endomorphic image . Proc. Amer. Math. Soc. , 65 : 209 – 214 .

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