A NOVEL STUDY OF SOFT SETS OVER N-ARY SEMIGROUPS

Authors

  • Qiumei Wang Hubei University for Nationalities - Department of Mathematics
  • Xiaowu Zohu Hubei University for Nationalities - Department of Mathematics
  • Jianming Zhan Hubei University for Nationalities - Department of Mathematics

Keywords:

n-ary semigroups, soft n-ary semigroups, idealistic soft n-ary semigroups, soft congruence relations, soft homomorphisms

Abstract

In this paper, we show that the regular n-ary semigroups can be described by using idealistic soft n-ary semigroups.  The relationships between regular n-ary semigroups and soft regular n-ary semigroups are also discussed.  Finally, we introduce quotient n-ary semigroups via soft congruence relations and establish some homomorphisms and related properties with respect to soft congruence relations.

Cover of n°37 Italian Journal of Pure and Applied Mathematics

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Published

2017-01-31

How to Cite

Wang, Q., Zohu, X., & Zhan, J. (2017). A NOVEL STUDY OF SOFT SETS OVER N-ARY SEMIGROUPS. Italian Journal of Pure and Applied Mathematics, 37, 583–594. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6674

Issue

N°37 - January 2017

Section

Articoli - Forum Editrice

License

Copyright (c) 2017 Qiumei Wang, Xiaowu Zohu, Jianming Zhan

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)

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