Generalizations of Morphic Group Rings

Libo Zan, Jianlong Chen and Qinghe Huang

International Journal of Mathematics and Mathematical Sciences, 2007, vol. 2007, 1-8

Abstract:

An element a in a ring R is called left morphic if there exists b ∈ R such that 1 R ( a ) = R b and 1 R ( b ) = R a . 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 a n (resp., a n with a n ≠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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:050591

DOI: 10.1155/2007/50591

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