One-dimensional rings of finite F-representation type

Takafumi Shibuta

doi:10.1016/j.jalgebra.2011.01.009

One-dimensional rings of finite F-representation type

Takafumi Shibuta

Research output: Contribution to journal › Article › peer-review

6 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 language	English
Pages (from-to)	434-441
Number of pages	8
Journal	Journal of Algebra
Volume	332
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2011.01.009
Publication status	Published - Apr 15 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jalgebra.2011.01.009

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AB - 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.

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JO - Journal of Algebra

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One-dimensional rings of finite F-representation type

Abstract

All Science Journal Classification (ASJC) codes

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