Generalizations of Morphic Group Rings

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...

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Main Authors: Libo Zan, Jianlong Chen, Qinghe Huang
Format: Article
Language:English
Published: Hindawi Limited 2007-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2007/50591
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spelling doaj-d46eedee9d854cd5ae61708597f2a2d62020-11-24T22:32:54ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/5059150591Generalizations of Morphic Group RingsLibo Zan0Jianlong Chen1Qinghe Huang2Department of Mathematics, Southeast University, Nanjing 210096, ChinaDepartment of Mathematics, Southeast University, Nanjing 210096, ChinaDepartment of Mathematics, Southeast University, Nanjing 210096, ChinaAn 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.http://dx.doi.org/10.1155/2007/50591
collection DOAJ
language English
format Article
sources DOAJ
author Libo Zan
Jianlong Chen
Qinghe Huang
spellingShingle Libo Zan
Jianlong Chen
Qinghe Huang
Generalizations of Morphic Group Rings
International Journal of Mathematics and Mathematical Sciences
author_facet Libo Zan
Jianlong Chen
Qinghe Huang
author_sort Libo Zan
title Generalizations of Morphic Group Rings
title_short Generalizations of Morphic Group Rings
title_full Generalizations of Morphic Group Rings
title_fullStr Generalizations of Morphic Group Rings
title_full_unstemmed Generalizations of Morphic Group Rings
title_sort generalizations of morphic group rings
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2007-01-01
description 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.
url http://dx.doi.org/10.1155/2007/50591
work_keys_str_mv AT libozan generalizationsofmorphicgrouprings
AT jianlongchen generalizationsofmorphicgrouprings
AT qinghehuang generalizationsofmorphicgrouprings
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