Restricted Boolean group rings
Dinesh Udar; R.K. Sharma; J.B. Srivastava
Archivum Mathematicum (2017)
- Volume: 053, Issue: 3, page 155-159
- ISSN: 0044-8753
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topUdar, Dinesh, Sharma, R.K., and Srivastava, J.B.. "Restricted Boolean group rings." Archivum Mathematicum 053.3 (2017): 155-159. <http://eudml.org/doc/294109>.
@article{Udar2017,
abstract = {In this paper we study restricted Boolean rings and group rings. A ring $R$ is $\textit \{restricted Boolean\}$ if every proper homomorphic image of $R$ is boolean. Our main aim is to characterize restricted Boolean group rings. A complete characterization of non-prime restricted Boolean group rings has been obtained. Also in case of prime group rings necessary conditions have been obtained for a group ring to be restricted Boolean. A counterexample is given to show that these conditions are not sufficient.},
author = {Udar, Dinesh, Sharma, R.K., Srivastava, J.B.},
journal = {Archivum Mathematicum},
keywords = {group rings; restricted Boolean rings; Boolean rings; neat rings; prime group rings},
language = {eng},
number = {3},
pages = {155-159},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Restricted Boolean group rings},
url = {http://eudml.org/doc/294109},
volume = {053},
year = {2017},
}
TY - JOUR
AU - Udar, Dinesh
AU - Sharma, R.K.
AU - Srivastava, J.B.
TI - Restricted Boolean group rings
JO - Archivum Mathematicum
PY - 2017
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 053
IS - 3
SP - 155
EP - 159
AB - In this paper we study restricted Boolean rings and group rings. A ring $R$ is $\textit {restricted Boolean}$ if every proper homomorphic image of $R$ is boolean. Our main aim is to characterize restricted Boolean group rings. A complete characterization of non-prime restricted Boolean group rings has been obtained. Also in case of prime group rings necessary conditions have been obtained for a group ring to be restricted Boolean. A counterexample is given to show that these conditions are not sufficient.
LA - eng
KW - group rings; restricted Boolean rings; Boolean rings; neat rings; prime group rings
UR - http://eudml.org/doc/294109
ER -
References
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