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

Yildiz B., Siap I., Bilgin T., YEŞİLOT G.

APPLIED MATHEMATICS LETTERS, vol.23, no.9, pp.988-992, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 9
  • Publication Date: 2010
  • Doi Number: 10.1016/j.aml.2010.04.023
  • Journal Name: APPLIED MATHEMATICS LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.988-992
  • Yıldız Technical University Affiliated: Yes

Abstract

In this work, the cardinality of the minimal R-covers of finite rings with respect to the RI-metric is established. By generalizing the result in Nakaoka and dos Santos (2010) 111, 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. (C) 2010 Elsevier Ltd. All rights reserved.