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

17 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

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10.1016/j.aml.2010.04.023

Cite this

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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.",

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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 - https://www.scopus.com/pages/publications/77953687950

UR - https://www.scopus.com/pages/publications/77953687950#tab=citedBy

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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

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