Abstract:

Exchange rings are generalized, and one-sided exchange rings are investigated. It is discussed that some properties of one-sided exchange rings about formal power series ring, skew power series ring and generalized power series ring. Some equivalent characterizations of one-sided exchange rings are given under the condition of Abelian ring.

Key words:  exchange ring; one-sided exchange ring; formal power series ring; skew power series ring; generalized power series ring