Let
k[
G] be a semilocal group algebra. It is shown that if
k is an algebraically closed field, then every finitely generated flat
k[
G]-module is projective.
Key words semilocal algebra - unitary module - associative ring - algebraically closed field - flat module - finitely generated module - projective module
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Translated from Matematicheskie Zametki, vol. 78, no. 3, 2005, pp. 409–412.
Original Russian Text Copyright ©2005 by M. F. Nasrutdinov.