One-dimensional rings of finite F-representation type
Commutative Algebra
2010-01-13 v2
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 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.
Keywords
Cite
@article{arxiv.0912.2434,
title = {One-dimensional rings of finite F-representation type},
author = {Takafumi Shibuta},
journal= {arXiv preprint arXiv:0912.2434},
year = {2010}
}
Comments
8 pages, title changed and typos corrected