NeutroOrderedAlgebra: Applications to Semigroups

Authors

  • Madeleine Al-Tahan
  • F. Smarandache
  • Bijan Davvaz

Abstract

Starting with a partial order on a NeutroAlgebra, we get a NeutroStructure. The latter if it satisfies
the conditions of NeutroOrder, it becomes a NeutroOrderedAlgebra. In this paper, we apply our new defined
notion to semigroups by studying NeutroOrderedSemigroups. More precisely, we define some related terms like
NeutrosOrderedSemigroup, NeutroOrderedIdeal, NeutroOrderedFilter, NeutroOrderedHomomorphism, etc., illustrate them via some examples, and study some of their properties

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Published

2021-01-31

Issue

Vol. 39 (2021): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Copyright (c) 2024 Neutrosophic Sets and Systems

Creative Commons License

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

 Creative Commons Attribution (CC BY) license.

How to Cite

Madeleine Al-Tahan, F. Smarandache, & Bijan Davvaz. (2021). NeutroOrderedAlgebra: Applications to Semigroups. Neutrosophic Sets and Systems, 39, 133-147. https://fs.unm.edu/nss8/index.php/111/article/view/4048

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