Extensions and s-comparability of exchange rings
Authors : Chaoling Huang
Pages : 544-549
View : 14 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Let S be a ring extension of R. In this note, for any positive integer s we study s-comparability related to ring extensions. We show that if S is an excellent extension of R, R and S are exchange rings, and R has the n-unperforation property. R satisfies s-comparability if and we only if so does S, and we prove that for a 2-sided ideal J of S, and an exchange subring R of the exchange ring S, which contains J as a direct summand, then R satisfies s-comparability if and only if so does R/J.Keywords : Exchange rings, excellent extensions, s-comparability