FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 3, PAGES 3-11

**Group algebras in which complements are summands**

A.
N.
Alahmadi

S. K. Jain

P. Kanwar

J. B. Srivastava

Abstract

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It is shown that (1) every almost selfinjective group algebra is
selfinjective and (2) if the group algebra $KG$ is continuous, then
$G$ is
a locally finite group.
Furthermore, it follows that the following assertions are equivalent:
a CS group algebra $KG$ is continuous;
$KG$ is
principally selfinjective; the group $G$ is locally finite.

Location: http://mech.math.msu.su/~fpm/eng/k05/k053/k05301h.htm

Last modified: September 14, 2005