Stable Rings for Morita Contexts of Generalized Power Series Rings

摘要

In this paper,we show that if rings A and B are(s,2)-rings,then so is the ring of a Morita Context([[AS,≤]],[[BS,≤]],[[MS,≤]],[[NS,≤]],ψS,φS) of generalized power series.Also we get analogous results for unit 1-stable ranges,GM-rings and rings which have stable range one.These give new classes of rings satisfying such stable range conditions.