Solutions of Some Kandasamy-Smarandache Open Problems About the Algebraic Structure of Neutrosophic Complex Finite Numbers

Authors

  • Basheer Abd Al Rida Sadiq Imam Kadhum College For Islamic Science University, Iraq

Keywords:

Neutrosophic complex number, neutrosophic finite complex number, maximal ideal, minimal ideal

Abstract

The aim of this paper is to study the neutrosophic complex finite rings
ð¶(ð‘ð‘›
) ð‘Žð‘›ð‘‘ ð¶(< ð‘𑛠∪ ð¼ >), and to give a classification theorem of these rings. Also, this work
introduces full solutions for 12 Kandasamy-Smarandache open problems concerning these
structures of generalized rings modulo integers. Also, a necessary and sufficient condition
of invertibility in ð¶(ð‘ð‘›
) ð‘Žð‘›ð‘‘ ð¶(< ð‘𑛠∪ ð¼ >) is presented as a partial solution of the famous
group of units problem.

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Published

2023-03-01

Issue

Vol. 54 (2023): Neutrosophic Sets and Systems

Section

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

License

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

Basheer Abd Al Rida Sadiq. (2023). Solutions of Some Kandasamy-Smarandache Open Problems About the Algebraic Structure of Neutrosophic Complex Finite Numbers. Neutrosophic Sets and Systems, 54, 184-196. http://fs.unm.edu/nss8/index.php/111/article/view/3264