Article ID Journal Published Year Pages File Type
4587415 Journal of Algebra 2009 20 Pages PDF
Abstract

We study F-rationality and F-regularity in diagonal subalgebras of multigraded rings, and use this to construct large families of rings that are F-rational but not F-regular. We also use diagonal subalgebras to construct rings with divisor class groups that are finitely generated but not discrete in the sense of Danilov.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory