Article ID Journal Published Year Pages File Type
4586407 Journal of Algebra 2011 8 Pages PDF
Abstract

We prove that a complete local or graded one-dimensional domain of prime characteristic has finite F-representation type if its residue field is algebraically closed or finite, and present examples of complete local or graded one-dimensional domains which do not have finite F-representation type with perfect residue fields. We also present some examples of higher dimensional rings of finite F-representation type.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory