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- Title
On Clean and Nil-clean Symbolic 2-Plithogenic Rings.
- Authors
Prabakaran, P.; Smarandache, Florentin
- Abstract
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.
- Subjects
IDEMPOTENTS
- Publication
Neutrosophic Sets & Systems, 2023, Vol 59, p296
- ISSN
2331-6055
- Publication type
Article