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

Section

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

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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