s -weakly regular group rings

W. B. Vasantha Kandasamy

Archivum Mathematicum (1993)

  • Volume: 029, Issue: 1-2, page 39-41
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Vasantha Kandasamy, W. B.. "$s$-weakly regular group rings." Archivum Mathematicum 029.1-2 (1993): 39-41. <http://eudml.org/doc/247434>.

@article{VasanthaKandasamy1993,
abstract = {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.},
author = {Vasantha Kandasamy, W. B.},
journal = {Archivum Mathematicum},
keywords = {group ring; s-weakly regular ring; -weakly regular ring},
language = {eng},
number = {1-2},
pages = {39-41},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {$s$-weakly regular group rings},
url = {http://eudml.org/doc/247434},
volume = {029},
year = {1993},
}

TY - JOUR
AU - Vasantha Kandasamy, W. B.
TI - $s$-weakly regular group rings
JO - Archivum Mathematicum
PY - 1993
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 029
IS - 1-2
SP - 39
EP - 41
AB - 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.
LA - eng
KW - group ring; s-weakly regular ring; -weakly regular ring
UR - http://eudml.org/doc/247434
ER -

References

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  1. A generalization of strongly regular rings, Acta. Math. Hungar 43 (1984), No 1-2, 57-61. (1984) Zbl0535.16015MR0731964

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