EXTENSIONS OF GM-RINGS OVER GENERALIZED POWER SERIES RINGS

Abstract

Let R be a reduced ring, (S, ≤) a cancellative torsion-free strictly ordered monoid, it is shown that ring [[RS,≤]] is a GM− ring if and only if R is a GM−ring. We also investigate GM− rings for some special Morita Contexts and module extensions over generalized power series rings.