Geodesic
$s$-weakly regular group rings
Archivum mathematicum, Tome 29 (1993) no. 1-2, pp. 39-41

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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.
Classification : 16D25, 16D40, 16E50, 16S34, 20C05
Keywords: group ring; s-weakly regular ring 
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     author = {Vasantha Kandasamy, W. B.},
     title = {$s$-weakly regular group rings},
     journal = {Archivum mathematicum},
     pages = {39--41},
     publisher = {mathdoc},
     volume = {29},
     number = {1-2},
     year = {1993},
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     zbl = {0812.16003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1993__29_1-2_a6/}
}
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Vasantha Kandasamy, W. B. $s$-weakly regular group rings. Archivum mathematicum, Tome 29 (1993) no. 1-2, pp. 39-41. http://geodesic.mathdoc.fr/item/ARM_1993__29_1-2_a6/