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

Abstract

The aim of this paper is to study the neutrosophic complex finite rings 𝐶(𝑍𝑛 ) 𝑎𝑛𝑑 𝐶(), 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 𝐶(𝑍𝑛 ) 𝑎𝑛𝑑 𝐶() is presented as a partial solution of the famous group of units problem.

Keywords

• neutrosophic complex number
• neutrosophic finite complex number
• maximal ideal
• minimal ideal