Integral domains which admit at most two star operations

Evan Houston; Abdeslam Mimouni; Mi Hee Park

doi:10.1080/00927872.2010.480956

Integral domains which admit at most two star operations

Evan Houston^*, Abdeslam Mimouni, Mi Hee Park

^*Corresponding author for this work

Department of Mathematics

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

26 Scopus citations

Abstract

In this article, we characterize domains which admit at most two star operations in the integrally closed and Noetherian cases. We also precisely count the number of star operations on an h-local Prüfer domain.

Original language	English
Pages (from-to)	1907-1921
Number of pages	15
Journal	Communications in Algebra
Volume	39
Issue number	5
DOIs	https://doi.org/10.1080/00927872.2010.480956
State	Published - May 2011

Bibliographical note

Funding Information:
The third-named author was supported by the Chung-Ang University Research Grants in 2008.

Keywords

Divisorial ideal
H-local domain
PVD
Prüfer domain
Star operation

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2010.480956

Cite this

@article{75dee85a95f44f45adb6c7656e629b08,

title = "Integral domains which admit at most two star operations",

abstract = "In this article, we characterize domains which admit at most two star operations in the integrally closed and Noetherian cases. We also precisely count the number of star operations on an h-local Pr{\"u}fer domain.",

keywords = "Divisorial ideal, H-local domain, PVD, Pr{\"u}fer domain, Star operation",

author = "Evan Houston and Abdeslam Mimouni and Park, \{Mi Hee\}",

note = "Funding Information: The third-named author was supported by the Chung-Ang University Research Grants in 2008.",

year = "2011",

month = may,

doi = "10.1080/00927872.2010.480956",

language = "English",

volume = "39",

pages = "1907--1921",

journal = "Communications in Algebra",

issn = "0092-7872",

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T1 - Integral domains which admit at most two star operations

AU - Houston, Evan

AU - Mimouni, Abdeslam

AU - Park, Mi Hee

N1 - Funding Information: The third-named author was supported by the Chung-Ang University Research Grants in 2008.

PY - 2011/5

Y1 - 2011/5

N2 - In this article, we characterize domains which admit at most two star operations in the integrally closed and Noetherian cases. We also precisely count the number of star operations on an h-local Prüfer domain.

AB - In this article, we characterize domains which admit at most two star operations in the integrally closed and Noetherian cases. We also precisely count the number of star operations on an h-local Prüfer domain.

KW - Divisorial ideal

KW - H-local domain

KW - PVD

KW - Prüfer domain

KW - Star operation

UR - https://www.scopus.com/pages/publications/79959512564

U2 - 10.1080/00927872.2010.480956

DO - 10.1080/00927872.2010.480956

M3 - Article

AN - SCOPUS:79959512564

SN - 0092-7872

VL - 39

SP - 1907

EP - 1921

JO - Communications in Algebra

JF - Communications in Algebra

IS - 5

ER -

Integral domains which admit at most two star operations

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this