Left and Right Magnifying Elements in the Semigroup of all Binary Relations

Authors

  • Watchara Teparos
  • Soontorn Boonta
  • Thitiya Theparod Mahasarakham University

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i4.3870

Keywords:

Relations, functions, magnifying elements, the semigroup of all binary relations

Abstract

An element a of a semigroup S is called left [right] magnifying if there exists a proper subset M of S such that S = aM [S = M a]. Let X be a nonempty set and BX the semigroup of binary relations on X. In this paper, we give necessary and sufficient conditions for elements in BX to be left or right magnifying.

Author Biography

  • Thitiya Theparod, Mahasarakham University

    A lecturer in the Department of Mathematics, Faculty of Science.

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Published

2020-10-31

Issue

Vol. 13 No. 4: (October 2020)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Left and Right Magnifying Elements in the Semigroup of all Binary Relations. (2020). European Journal of Pure and Applied Mathematics, 13(4), 987-994. https://doi.org/10.29020/nybg.ejpam.v13i4.3870