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.

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Last modified: September 14, 2005