The covering problem for finite rings with respect to the RT-metric

Bahattin Yildiz; Irfan Siap; Tevfik Bilgin; Gursel Yesilot

doi:10.1016/j.aml.2010.04.023

The covering problem for finite rings with respect to the RT-metric

Bahattin Yildiz, Irfan Siap, Tevfik Bilgin, Gursel Yesilot

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

13 Scopus citations

Abstract

In this work, the cardinality of the minimal R-covers of finite rings with respect to the RT-metric is established. By generalizing the result in Nakaoka and dos Santos (2010) [1], the minimal cardinalities of 0-short coverings of finite chain rings are calculated. The connection between R-short coverings of rings with respect to the RT-metric and the 0-short coverings of rings is demonstrated, and with the help of this connection, the problem of finding the minimal cardinalities of R-short coverings of finite chain rings is solved.

Original language	English (US)
Pages (from-to)	988-992
Number of pages	5
Journal	Applied Mathematics Letters
Volume	23
Issue number	9
DOIs	https://doi.org/10.1016/j.aml.2010.04.023
State	Published - Sep 2010
Externally published	Yes

Keywords

0-short covering
Covering
R-balls
RT-metric
Short covering

ASJC Scopus subject areas

Applied Mathematics

Access to Document

10.1016/j.aml.2010.04.023

Cite this

@article{b8e18d9d53324f168c5224d24b5edcab,

title = "The covering problem for finite rings with respect to the RT-metric",

abstract = "In this work, the cardinality of the minimal R-covers of finite rings with respect to the RT-metric is established. By generalizing the result in Nakaoka and dos Santos (2010) [1], the minimal cardinalities of 0-short coverings of finite chain rings are calculated. The connection between R-short coverings of rings with respect to the RT-metric and the 0-short coverings of rings is demonstrated, and with the help of this connection, the problem of finding the minimal cardinalities of R-short coverings of finite chain rings is solved.",

keywords = "0-short covering, Covering, R-balls, RT-metric, Short covering",

author = "Bahattin Yildiz and Irfan Siap and Tevfik Bilgin and Gursel Yesilot",

year = "2010",

month = sep,

doi = "10.1016/j.aml.2010.04.023",

language = "English (US)",

volume = "23",

pages = "988--992",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Limited",

number = "9",

}

TY - JOUR

T1 - The covering problem for finite rings with respect to the RT-metric

AU - Yildiz, Bahattin

AU - Siap, Irfan

AU - Bilgin, Tevfik

AU - Yesilot, Gursel

PY - 2010/9

Y1 - 2010/9

N2 - In this work, the cardinality of the minimal R-covers of finite rings with respect to the RT-metric is established. By generalizing the result in Nakaoka and dos Santos (2010) [1], the minimal cardinalities of 0-short coverings of finite chain rings are calculated. The connection between R-short coverings of rings with respect to the RT-metric and the 0-short coverings of rings is demonstrated, and with the help of this connection, the problem of finding the minimal cardinalities of R-short coverings of finite chain rings is solved.

AB - In this work, the cardinality of the minimal R-covers of finite rings with respect to the RT-metric is established. By generalizing the result in Nakaoka and dos Santos (2010) [1], the minimal cardinalities of 0-short coverings of finite chain rings are calculated. The connection between R-short coverings of rings with respect to the RT-metric and the 0-short coverings of rings is demonstrated, and with the help of this connection, the problem of finding the minimal cardinalities of R-short coverings of finite chain rings is solved.

KW - 0-short covering

KW - Covering

KW - R-balls

KW - RT-metric

KW - Short covering

UR - http://www.scopus.com/inward/record.url?scp=77953687950&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77953687950&partnerID=8YFLogxK

U2 - 10.1016/j.aml.2010.04.023

DO - 10.1016/j.aml.2010.04.023

M3 - Article

AN - SCOPUS:77953687950

SN - 0893-9659

VL - 23

SP - 988

EP - 992

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 9

ER -

The covering problem for finite rings with respect to the RT-metric

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this