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Solutions of Some Kandasamy–Smarandache Problems about Neutrosophic Complex Numbers and Group of Units’ Problem
Author(s) -
Mohammad Abobala,
Ahmad Hatip,
Necati Olgun
Publication year - 2022
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2022/6331177
Subject(s) - mathematics , ring (chemistry) , generalization , group (periodic table) , invertible matrix , product (mathematics) , unit (ring theory) , real number , algebra over a field , combinatorics , pure mathematics , discrete mathematics , geometry , mathematical analysis , chemistry , organic chemistry , mathematics education
Neutrosophic complex numbers are a novel interesting generalization of classical complex numbers. This study aims to study the neutrosophic complex infinite rings, where we classify those rings as direct products by using classical complex field C . Also, this work introduces full solutions for 18 Kandasamy–Smarandache open problems concerning these structures, as well as the group of unit’s famous problem, where the group of units (invertible elements) of a neutrosophic complex ring will be classified as a direct product of two classical groups of units.

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