One-dimensional rings of finite F-representation type

Takafumi Shibuta

Research output: Contribution to journal › Article

4 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

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Representation Type
Ring
Algebraically closed
High-dimensional

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

One-dimensional rings of finite F-representation type. / Shibuta, Takafumi.

In: Journal of Algebra, Vol. 332, No. 1, 15.04.2011, p. 434-441.

Research output: Contribution to journal › Article

Shibuta, T 2011, 'One-dimensional rings of finite F-representation type', Journal of Algebra, vol. 332, no. 1, pp. 434-441. https://doi.org/10.1016/j.jalgebra.2011.01.009
Shibuta T. One-dimensional rings of finite F-representation type. Journal of Algebra. 2011 Apr 15;332(1):434-441. https://doi.org/10.1016/j.jalgebra.2011.01.009
Shibuta, Takafumi. / One-dimensional rings of finite F-representation type. In: Journal of Algebra. 2011 ; Vol. 332, No. 1. pp. 434-441.
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