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| Home > Articles > Published articles > Split-null extensions of strongly right bounded rings |
| Date: | 1990 |
| Abstract: | A ring is said to be strongly right bounded if every nonzero right ideal contains a nonzero ideal. In this paper strongly right bounded rings are characterized, conditions are determined which ensure that the split-null (or trivial) extension of a ring is strongly right bounded, and we characterize strongly right bounded right quasi-continuous split-null extensions of a left faithful ideal over a semiprime ring . This last result partially generalizes a result of C. Faith concerning split-null extensions of commutative FPF rings. |
| Rights: | Tots els drets reservats.  |
| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Published in: | Publicacions matemàtiques, V. 34 n. 1 (1990) p. 37-44, ISSN 2014-4350 |
