Group algebras in which complements are summands

Author： Alahmadi A.   Jain S.   Kanwar P.   Srivastava J.  

Publisher： Springer Publishing Company

ISSN： 1072-3374

Source： Journal of Mathematical Sciences, Vol.144, Iss.2, 2007-07, pp. : 3875-3880

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Abstract

It is shown that (1) every almost self-injective group algebra is self-injective 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 self-injective; the group G is locally finite.

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