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Morphic group rings |
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| Authors: | Jianlong Chen Yiqiang Zhou |
| Institution: | a Department of Mathematics, Southeast University, Nanjing, Jiangsu 210096, China b Department of Mathematics, Brock University, St. Catharine's, Ont, Canada L2S 3A1 c Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, Canada A1C 5S7 |
| Abstract: | An element a in a ring R is called left morphic if there exists b∈R such that lR(a)=Rb and lR(b)=Ra, where lR(a) denotes the left annihilator of a in R. The ring R is called left morphic if every element of R is left morphic. Left morphic rings have been studied by Nicholson and Sánchez Campos. In this paper, the question of when a group ring is left morphic is discussed in great detail and various morphic group rings are identified. |
| Keywords: | Primary: 16S34 secondary: 16U99 |
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