Turkish Journal of Mathematics
DOI
10.3906/mat-1011-526
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
First Page
544
Last Page
549
Recommended Citation
HUANG, CHAOLING
(2012)
"Extensions and s-comparability of exchange rings,"
Turkish Journal of Mathematics: Vol. 36:
No.
4, Article 5.
https://doi.org/10.3906/mat-1011-526
Available at:
https://journals.tubitak.gov.tr/math/vol36/iss4/5
