On Clean and Nil-clean Symbolic 2-Plithogenic Rings

Download or read book On Clean and Nil-clean Symbolic 2-Plithogenic Rings written by P. Prabakaran and published by Infinite Study. This book was released on 2023-01-01 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: A ring is said to be clean if every element of the ring can be written as a sum of an idempotent element and a unit element of the ring and a ring is said to be nil-clean if every element of the ring can be written as a sum of an idempotent element and a nilpotent element of the ring. In this paper, we generalize these arguments to symbolic 2-plithogenic structure. We introduce the structure of clean and nil-clean symbolic 2-plithogenic rings and some of its elementary properties are presented. Also, we have found the equivalence between classical clean(nil-clean) ring R and the corresponding symbolic 2-plithogenic ring 2-SPR.