%A Danchev, Peter
%A Almallah, Omar Abdelhameed
%D 2018
%T UU Group Rings
%K
%X A ring is called UU if each its unit is a unipotent. We prove that the group ring R[G] is a commutative UU ring if, and only if, R is a commutative UU ring and G is an abelian 2-group. This extends a result due to McGovern-Raja-Sharp (J. Algebra Appl., 2015) established for commutative nil-clean group rings. In some special cases we also discover when R[G] is a non-commutative UU ring as our results are closely related to those obtained by Ko¸san-Wang-Zhou (J. Pure Appl. Algebra, 2016) and Sahinkaya-Tang-Zhou (J. Algebra Appl., 2017).
%U http://www.ebmmath.com/index.php/EBM/article/view/26
%J Eurasian Bulletin of Mathematics
%0 Journal Article
%P 94-97%8 2018-12-26