-Morphic Rings
- Resource Type
- Article
- Authors
- Qinghe Huang; Jianlong Chen
- Source
- Kyungpook Mathematical Journal, 47(3), pp.363-372 Sep, 2007
- Subject
- 수학
- Language
- ISSN
- 0454-8124
1225-6951
An element a in a ring R is called left morphic if R/Ra = l(a). A ring R is called left morphic if every element is left morphic. In this paper, an element a in a ring R is called left -morphic (resp. left G-morphic) if there exists a positive number n such that an (resp. an 6= 0) is left morphic. A ring R is called left -morphic (resp.left G-morphic) if every element is left -morphic (resp. left G-morphic). The Morita invariance of left -morphic (resp. left G-morphic) rings is discussed. Several relevant properties are proved. In particular, it is shown that a left Noetherian ring R with M4(R) left G-morphic or M2(R) left morphic is QF. Some known results of left morphic rings are extended to left G-morphic rings and left -morphic rings.