One-dimensional rings of finite F-representation type

Takafumi Shibuta

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)434-441
Number of pages8
JournalJournal of Algebra
Issue number1
Publication statusPublished - Apr 15 2011
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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