
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.
clean ring, Electronic computers. Computer science, symbolic 2-plithogenic ring, QA1-939, QA75.5-76.95, nil-clean ring, clean symbolic 2-plithogenic ring, nil-clean symbolic 2-plithogenic ring, Mathematics
clean ring, Electronic computers. Computer science, symbolic 2-plithogenic ring, QA1-939, QA75.5-76.95, nil-clean ring, clean symbolic 2-plithogenic ring, nil-clean symbolic 2-plithogenic ring, Mathematics
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