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

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 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

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.1016/j.jalgebra.2011.01.009

Fingerprint Dive into the research topics of 'One-dimensional rings of finite F-representation type'. Together they form a unique fingerprint.

Cite this

Shibuta, T. (2011). One-dimensional rings of finite F-representation type. Journal of Algebra, 332(1), 434-441. https://doi.org/10.1016/j.jalgebra.2011.01.009

@article{14a6272cb1084730891d1883a35af845,

title = "One-dimensional rings of finite F-representation type",

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.",

author = "Takafumi Shibuta",

year = "2011",

month = apr,

day = "15",

doi = "10.1016/j.jalgebra.2011.01.009",

language = "English",

volume = "332",

pages = "434--441",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - One-dimensional rings of finite F-representation type

AU - Shibuta, Takafumi

PY - 2011/4/15

Y1 - 2011/4/15

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=79952183346&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952183346&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2011.01.009

DO - 10.1016/j.jalgebra.2011.01.009

M3 - Article

AN - SCOPUS:79952183346

VL - 332

SP - 434

EP - 441

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 1

ER -