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s -pure submodules.

Crivei, Iuliu (2005)

International Journal of Mathematics and Mathematical Sciences

s -weakly regular group rings

W. B. Vasantha Kandasamy (1993)

Archivum Mathematicum

In this note we obtain a necessary and sufficient condition for a ring to be s -weakly regular (i) When R is a ring with identity and without divisors of zero (ii) When R is a ring without divisors of zero. Further it is proved in a s -weakly regular ring with identity and without units every element is a zero divisor.

Split-null extensions of strongly right bounded rings.

Gary F. Birkenmeier (1990)

Publicacions Matemàtiques

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...

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