- International Electronic Journal of Algebra
- Volume:2 Issue:2
- EXTENSIONS OF GM-RINGS OVER GENERALIZED POWER SERIES RINGS
EXTENSIONS OF GM-RINGS OVER GENERALIZED POWER SERIES RINGS
Authors : Lunqun Ouyang, Dayong Liu
Pages : 226-236
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Publication Date : 2007-12-01
Article Type : Research Paper
Abstract :Let R be a reduced ring, insert ignore into journalissuearticles values(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.Keywords : GM rings, module extension, generalized power series