International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 50591, 8 pages
Generalizations of Morphic Group Rings
Department of Mathematics, Southeast University, Nanjing 210096, China
Received 9 October 2006; Revised 20 December 2006; Accepted 5 February 2007
Academic Editor: Howard E. Bell
Copyright © 2007 Libo Zan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
An element in a ring is called left morphic if there exists such that and . is called left morphic if every element of is left morphic. An element
in a ring is called left -morphic (resp., left -morphic) if there exists a
positive integer such that (resp., with )
is left morphic. is called left -morphic (resp., left -morphic) if every element
of is left -morphic (resp., left -morphic). In this paper, the -morphic problem and -morphic problem of group rings are studied.