Open AccessArticle

Algebraicness properties on transitive binary relational sets and a characterization of continuous directed complete posets

and

Esmail Hassan Abdullatif Al-Sabri²³

1High Institute of Engineering and Technology King Marioutt, P.O. Box 3135, Egypt2Department of Mathematics, Faculty of Science and Arts, King Khalid University, Muhayl Assir 61913, Saudi Arabia3Department of Mathematics and Computer, Faculty of Science, IBB University, IBB 70270, Yemen

* Corresponding Author: Mohammed M khalaf. Email:

Annals of Communications in Mathematics 2023, 6 (1), 57-66. https://doi.org/10.62072/acm2023060106

Received: 15 Feb 2023 |

Accepted: 15 Mar 2023 |

Published: 31 Mar 2023

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Abstract

In this work we introduce and study the concepts of algebraicness, and continuity on transitive binary relational sets ( so called T RS). Some interactions between these concepts are investigated. Further more a characterization of continuous directed complete posets and Algebraic T RS are studied. Our results are generalizations of corresponding results in posets.

Keywords

algebraicness; poset; relational sets; transitive binary

Cite This Article

Mohammed M khalaf, Esmail Hassan Abdullatif Al-Sabri.

Algebraicness properties on transitive binary relational sets and a characterization of continuous directed complete posets.

Annals of Communications in Mathematics

2023,

6 (1):

57-66.

https://doi.org/10.62072/acm2023060106

Copyright © 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).