Minimality of Pair (I,J)-Ideals in Ternary Semigroups

Authors

  • Mehdi Dehghanian Sirjan University of Technology
  • Ahmad Mohammadhasani Sirjan University of Technology

DOI:

https://doi.org/10.30495/jme.v14i0.1023

Keywords:

pair (I, J)-ideal, quasi regular, regular, ternary semigroup

Abstract

Let $S$ be a ternary semigroup‎. ‎In this article we introduce our notation and prove some elementary properties of a pair ideal $(I,J)$ of a ternary semigroup $S$ and give some characterizations of the minimality of pair left (right) and middle ideal in ternary semigroup.‎

 

Author Biographies

Mehdi Dehghanian, Sirjan University of Technology

Assistant Professor of Mathematics,

Department of Mathematic

 

Ahmad Mohammadhasani, Sirjan University of Technology

Assistant Professor of Mathematics,

Department of Mathematic

 

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Published

2019-09-22

Issue

Vol. 14

Section

Vol. 14, No. 4, (2020)

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