The strongly Tri-nil clean rings
This study explores the structure and properties of strongly Tri-nil clean rings. A ring is defined as strongly Tri-nil clean if every member in a ring can be expressed as the sum of a tripotent element and a nilpotent member, where these components commute. We provide the right singular ideal of a...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Mosul University
2025-06-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.uomosul.edu.iq/article_186833_c50f44da353ba86cc8d3b22ff26e62ba.pdf |
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| Summary: | This study explores the structure and properties of strongly Tri-nil clean rings. A ring is defined as strongly Tri-nil clean if every member in a ring can be expressed as the sum of a tripotent element and a nilpotent member, where these components commute. We provide the right singular ideal of a ring which is a nil ideal. We examine a ring with each element σ in R,σ^2 is zhou. we also found in these rings the char(R)=48, and every unit of order 4, Finally, we provide if R is a Tri-nil clean ring with 3∈N(R) if and only if every member of R is a sum of three tripotent and nilpotent that commute. |
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| ISSN: | 1815-4816 2311-7990 |