Split-null extensions of strongly right bounded rings
- Autores: Gary F. Birkenmeier
- Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 34, Nº 1, 1990, págs. 37-44
- Idioma: inglés
- DOI: 10.5565/publmat_34190_03
- Enlaces
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Resumen
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.
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