A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2022; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Height of separable algebras over commutative rings

1981
*
Rocky Mountain Journal of Mathematics
*

In this paper we define an ^-algebra S to be height one separable over R (a commutative ring) if S is separable at each localization at a height one prime ideal of R. We prove some general properties of height one separability and give some examples of non-separable, height one separable extensions. It is also shown that if S is an integrally closed domain and R is the fixed subring of G-invariant elements of S, for some finite group G of automorphisms of S, and if each localization of R at a

doi:10.1216/rmj-1981-11-4-593
fatcat:bvwswirv2nhgnfvri7kkwvjngm