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http://hdl.handle.net/10077/4152| Title: | On Self-Injectivity and p-Injectivity | Authors: | Yue Chi Ming, Roger | Keywords: | Injective; p-injective; Non-singular; Von Neumann regular; Strongly regular | Issue Date: | 2005 | Publisher: | Università degli Studi di Trieste. Dipartimento di Matematica e Informatica | Source: | Roger Yue Chi Ming, "On Self-Injectivity and p-Injectivity", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 37 (2005), pp. 223-236. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 37 (2005) |
Abstract: | A generalization of injectivity is studied and several properties are developed. Von Neumann regular rings are characterized. Sufficient conditions are given for a ring to admit a strongly regular classical left quotient ring. A nice characterization of strongly regular rings is given. Special direct summands of left self-injective regular and left continuous regular rings are considered. |
Type: | Article | URI: | http://hdl.handle.net/10077/4152 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.37 (2005) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| MingRendMat37.pdf | 136.35 kB | Adobe PDF |  View/Open |
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