The number of idempotents in abelian group rings
Affiliation:
1. Department of Mathematics, Plovdiv University, Plovdiv, Bulgaria
Abstract
Suppose that R is a commutative unitary ring of arbitrary characteristic and
G is a multiplicative abelian group. Our main theorem completely determines
the cardinality of the set id(RG), consisting of all idempotent elements in
the group ring RG. It is explicitly calculated only in terms associated with
R, G and their divisions. This result strengthens previous estimates
obtained in the literature recently.
Publisher
National Library of Serbia
Subject
General Mathematics