Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 8, Tome 281 (2001), pp. 128-132
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G. A. Garkusha. A note on almost regular group rings. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 8, Tome 281 (2001), pp. 128-132. http://geodesic.mathdoc.fr/item/ZNSL_2001_281_a4/
@article{ZNSL_2001_281_a4,
author = {G. A. Garkusha},
title = {A note on almost regular group rings},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {128--132},
year = {2001},
volume = {281},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_281_a4/}
}
TY - JOUR
AU - G. A. Garkusha
TI - A note on almost regular group rings
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2001
SP - 128
EP - 132
VL - 281
UR - http://geodesic.mathdoc.fr/item/ZNSL_2001_281_a4/
LA - ru
ID - ZNSL_2001_281_a4
ER -
%0 Journal Article
%A G. A. Garkusha
%T A note on almost regular group rings
%J Zapiski Nauchnykh Seminarov POMI
%D 2001
%P 128-132
%V 281
%U http://geodesic.mathdoc.fr/item/ZNSL_2001_281_a4/
%G ru
%F ZNSL_2001_281_a4
It is proved that the group ring $R=AG$ is an almost regular ring if and only if: (i) the ring $A$ is almost regular, (ii) the group $G$ is locally finite and (iii) an order of any finite subgroup $H$ of the group $G$ is a unit in $A$.
