Geodesic
Restricted Boolean group rings
Archivum mathematicum, Tome 53 (2017) no. 3, pp. 155-159
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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.
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.
DOI : 10.5817/AM2017-3-155
Classification : 16S34, 20C05, 20C07
Keywords: group rings; restricted Boolean rings; Boolean rings; neat rings; prime group rings 
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Udar, Dinesh; Sharma, R.K.; Srivastava, J.B. Restricted Boolean group rings. Archivum mathematicum, Tome 53 (2017) no. 3, pp. 155-159. doi: 10.5817/AM2017-3-155

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