Resumen de Dual dimension of modules over normalizing extensions

Ahmad Shamsuddin

• Let S = Si=1n Rai be a finite normalizing extension of R and suppose that SM is a left S-module. Denote by crk(A) the dual Goldie dimension of the module A. We show that crk(RM) = n · crk(SM) if either SM is artinian or the group homomorphism M ? aiM given by x ? aix is an isomorphism.