Research ArticleNo Access

Ordered power ternary semigroups

S. Kar

https://orcid.org/0000-0002-3955-9464

Department of Mathematics, Jadavpur University, 188, Raja S. C. Mallick Road, Kolkata 700032, India

E-mail Address: karsukhendu@yahoo.co.in

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A. Roy

Department of Mathematics, Jadavpur University, 188, Raja S. C. Mallick Road, Kolkata 700032, India

E-mail Address: agnimathematics@gmail.com

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, and

I. Dutta

Department of Mathematics, Jadavpur University, 188, Raja S. C. Mallick Road, Kolkata 700032, India

E-mail Address: indrani.jumath@gmail.com

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https://doi.org/10.1142/S1793557122501807Cited by:0 (Source: Crossref)

Abstract

We consider a power ternary semigroup $P (S)$ $P (S)$ associated with a ternary semigroup $S$ $S$ and study some properties of $P (S)$ $P (S)$ by using the corresponding properties of $S$ $S$ . After that we study the notion of ordered power ternary semigroup and our main aim is to establish some interconnection between the properties of a ternary semigroup $S$ $S$ and the associated ordered ternary semigroup $𝒫 (𝒮)$ .

Communicated by X. Guo

Keywords:

AMSC: 20M10, 06F05

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