D-sets Generated by a Subset of a Group

Authors

  • Michael Patula Baldado Jr. Negros Oriental State University
  • Cristopher John Salvador Rosero Cebu Normal University

Keywords:

groups, D-sets, index minimum

Abstract

A subset D of a group G is a D-set if every element of G, not in D, has its inverse in D. Let A be a non-empty subset of G. A smallest D-set of G that contains A is called a D-set generated by A, denoted by <A>. Note that <A> may not be unique. This paper characterized sets A with unique <A> and sets whose number of generated D-sets is equal to the index minimum.

Author Biographies

  • Michael Patula Baldado Jr., Negros Oriental State University
    Mathematics Department, Associate Professor
  • Cristopher John Salvador Rosero, Cebu Normal University
    Mathematics Department, Assistant Professor

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Published

2016-01-27

Issue

Vol. 9 No. 1: (January 2016)

Section

Computer Science

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How to Cite

D-sets Generated by a Subset of a Group. (2016). European Journal of Pure and Applied Mathematics, 9(1), 34-38. https://www.ejpam.com/index.php/ejpam/article/view/2473