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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.

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