One-dimensional rings of finite F-representation type

Takafumi Shibuta

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)434-441
    Number of pages8
    JournalJournal of Algebra
    Volume332
    Issue number1
    DOIs
    Publication statusPublished - Apr 15 2011

    All Science Journal Classification (ASJC) codes

    • Algebra and Number Theory

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