Generalizations of Morphic Group Rings
An element a in a ring R is called left morphic if there exists b∈R such that 1R(a)=Rb and 1R(b)=Ra. R is called left morphic if every element of R is left morphic. An element a in a ring R is called left π-morphic (resp., left G-morphic) if there exists a positive integer n such that an (resp., a...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2007-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/2007/50591 |
Summary: | An element a in a ring R is called left morphic if there exists b∈R such that 1R(a)=Rb and 1R(b)=Ra. R is called left morphic if every element of R is left morphic. An element a
in a ring R is called left π-morphic (resp., left G-morphic) if there exists a
positive integer n such that an (resp., an with an≠0)
is left morphic. R is called left π-morphic (resp., left G-morphic) if every element
of R is left π-morphic (resp., left G-morphic). In this paper, the G-morphic problem and π-morphic problem of group rings are studied. |
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ISSN: | 0161-1712 1687-0425 |