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Split-null extensions of strongly right bounded rings.
Birkenmeier, Gary F.

Data: 1990
Resum: 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.
Drets: Tots els drets reservats.
Llengua: Anglès.
Document: article ; recerca ; publishedVersion
Publicat a: Publicacions Matemàtiques, V. 34 n. 1 (1990) p. 37-44, ISSN 0214-1493

DOI: 10.5565/PUBLMAT_34190_03

8 p, 245.7 KB

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