Restricted Boolean group rings
Archivum mathematicum, Tome 53 (2017) no. 3, pp. 155-159.
Voir la notice de l'article dans Czech Digital Mathematics Library
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
Mots-clés : group rings; restricted Boolean rings; Boolean rings; neat rings; prime group rings
Mots-clés : group rings; restricted Boolean rings; Boolean rings; neat rings; prime group rings
@article{10_5817_AM2017_3_155, author = {Udar, Dinesh and Sharma, R.K. and Srivastava, J.B.}, title = {Restricted {Boolean} group rings}, journal = {Archivum mathematicum}, pages = {155--159}, publisher = {mathdoc}, volume = {53}, number = {3}, year = {2017}, doi = {10.5817/AM2017-3-155}, mrnumber = {3708769}, zbl = {06819522}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.5817/AM2017-3-155/} }
TY - JOUR AU - Udar, Dinesh AU - Sharma, R.K. AU - Srivastava, J.B. TI - Restricted Boolean group rings JO - Archivum mathematicum PY - 2017 SP - 155 EP - 159 VL - 53 IS - 3 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.5817/AM2017-3-155/ DO - 10.5817/AM2017-3-155 LA - en ID - 10_5817_AM2017_3_155 ER -
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. https://geodesic-test.mathdoc.fr/articles/10.5817/AM2017-3-155/
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