Generalized Morphic Rings and Their Applications |
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| Authors: | Haiyan Zhu |
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| Institution: | Department of Mathematics , Nanjing University , Nanjing, China |
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| Abstract: | A ring R is called “left generalized morphic” if for every element a in R, there exists b ∈ R such that l(a)? R/Rb, where l(a) denotes the left annihilator of a in R. The aim of this article is to investigate these rings. Several examples are given. They include left morphic rings and left p.p. rings. As applications, some homological dimensions over these rings are defined and studied. |
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| Keywords: | Generalized morphic ring P-Flat module P-Injective module |
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