One-dimensional rings of finite F-representation type

Details One-dimensional rings of finite F-representation type One-dimensional rings of finite F-representation type

2009-12-14

arxiv.org/abs/0912.2434v2

Mathematics

Commutative Algebra

8 pages, title changed and typos corrected

Scientific paper

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 a complete local or graded one-dimensional domain which does not have finite F-representation type with a perfect residue field. We also present some examples of higher dimensional rings of finite F-representation type.

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