On normal subgroups of over rings with many units
L. N. Vaserstein (1990)
Compositio Mathematica
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L. N. Vaserstein (1990)
Compositio Mathematica
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Kenneth A. Brown (1978)
Compositio Mathematica
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Gary F. Birkenmeier (1990)
Publicacions Matemàtiques
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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...
A. Widiger (1983)
Fundamenta Mathematicae
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Ehrlich, Gertrude (1983-1984)
Portugaliae mathematica
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Roger Yue Chi Ming (2002)
Commentationes Mathematicae Universitatis Carolinae
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A new characteristic property of von Neumann regular rings is proposed in terms of annihilators of elements. An ELT fully idempotent ring is a regular ring whose simple left (or right) modules are either injective or projective. Artinian rings are characterized in terms of Noetherian rings. Strongly regular rings and rings whose two-sided ideals are generated by central idempotents are characterized in terms of special annihilators. Quasi-Frobeniusean rings are characterized in terms...
Ghanem, Manal, Al-Ezeh, Hassan (2011)
International Journal of Mathematics and Mathematical Sciences
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