Title of article :
Baer Group Rings with Involution
Author/Authors :
Khairnar, Anil Department of Mathematics - Abasaheb Garware College, India , Waphare, B. N. Center for Advanced Study in Mathematics - Department of Mathematics - Savitribai Phule Pune University, India
Abstract :
We prove that if a group ring RG is a (quasi) Baer ∗-ring, then so
is R, whereas converse is not true. Sufficient conditions are given so that for
some finite cyclic groups G, if R is (quasi-) Baer ∗-ring, then so is the group
ring RG. We prove that if the group ring RG is a Baer ∗-ring, then so is RH
for every subgroup H of G. Also, we generalize results of Zhong Yi, Yiqiang
Zhou (for (quasi-) Baer rings) and L. Zan, J. Chen (for principally quasi-Baer
and principally projective rings).
Keywords :
Group ring , Baer ∗-ring , quasi-Baer ∗-ring
Journal title :
International Electronic Journal of Algebra
