On the Classification of the Group of Units for Some Symbolic

m-Plithogenic Rings

Lee Xu

University of Chinese Academy of Sciences, CAS, Mathematics Department, Beijing, China Leexu1244@yahoo.com

Abstract

This paper is dedicated to study and to find the symbolic m-plithogenic units in many symbolic plithogenic rings for some special values of m, where we present a full classification of many different symbolic n-plithogenic group of units as direct products of well-known groups by building suitable and well-defined algebraic isomorphisms.

Keywords: Algebraic unit; Group of units; Classification; Symbolic plithogenic ring