A characterization of l-Ideals in l-groups

Yichuan Yang; Liqiong Liu

doi:10.1142/S1005386711000502

A characterization of l-Ideals in l-groups

Yichuan Yang^*
, Liqiong Liu

^*Corresponding author for this work

School of Mathematical Sciences

Guangxi Entry-Exit Inspection and Quarantine Bureau

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

Abstract

We present a characterization of l-ideals in an arbitrary l-group without use of inequalities, which generalizes the corresponding result of Alpay, Emel'yanov and Ercan for o-ideals in Riesz spaces.

Original language	English
Pages (from-to)	659-662
Number of pages	4
Journal	Algebra Colloquium
Volume	18
Issue number	4
DOIs	https://doi.org/10.1142/S1005386711000502
State	Published - Dec 2011

Keywords

Riesz space
l-group
l-ideal
o-ideal

Access to Document

10.1142/S1005386711000502

Cite this

@article{98ccca28b15c4af8a731abfaf72c26e5,

title = "A characterization of l-Ideals in l-groups",

abstract = "We present a characterization of l-ideals in an arbitrary l-group without use of inequalities, which generalizes the corresponding result of Alpay, Emel'yanov and Ercan for o-ideals in Riesz spaces.",

keywords = "Riesz space, l-group, l-ideal, o-ideal",

author = "Yichuan Yang and Liqiong Liu",

year = "2011",

month = dec,

doi = "10.1142/S1005386711000502",

language = "英语",

volume = "18",

pages = "659--662",

journal = "Algebra Colloquium",

issn = "1005-3867",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "4",

}

TY - JOUR

T1 - A characterization of l-Ideals in l-groups

AU - Yang, Yichuan

AU - Liu, Liqiong

PY - 2011/12

Y1 - 2011/12

N2 - We present a characterization of l-ideals in an arbitrary l-group without use of inequalities, which generalizes the corresponding result of Alpay, Emel'yanov and Ercan for o-ideals in Riesz spaces.

AB - We present a characterization of l-ideals in an arbitrary l-group without use of inequalities, which generalizes the corresponding result of Alpay, Emel'yanov and Ercan for o-ideals in Riesz spaces.

KW - Riesz space

KW - l-group

KW - l-ideal

KW - o-ideal

UR - https://www.scopus.com/pages/publications/80053552954

U2 - 10.1142/S1005386711000502

DO - 10.1142/S1005386711000502

M3 - 文章

AN - SCOPUS:80053552954

SN - 1005-3867

VL - 18

SP - 659

EP - 662

JO - Algebra Colloquium

JF - Algebra Colloquium

IS - 4

ER -

A characterization of l-Ideals in l-groups

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this