On Clean and Nil-Clean Symbolic 2-Plithogenic Rings
| Autor: | P. Prabakara, Florentin Smarandache |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Neutrosophic Sets and Systems, Vol 59, Pp 296-305 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2331-6055 2331-608X 08191905 |
| Popis: | 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. |
| Databáze: | Directory of Open Access Journals |
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