Strongly Nil* Clean Ideals
An element is known a strongly nil* clean element if a=e1 - e1e2 + n , where e1,e2 are idempotents and n is nilpotent, that commute with one another. An ideal I of a ring R is called a strongly nil* clean ideal if each element of I is...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Mosul University
2022-12-01
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| Series: | Al-Rafidain Journal of Computer Sciences and Mathematics |
| Subjects: | |
| Online Access: | https://csmj.mosuljournals.com/article_176591_fb0767abe3b5f003ab58bccf8337aca2.pdf |
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| _version_ | 1849768452161536000 |
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| author | Muayad Alali Nazar Shuker |
| author_facet | Muayad Alali Nazar Shuker |
| author_sort | Muayad Alali |
| collection | DOAJ |
| description | An element is known a strongly nil* clean element if a=e1 - e1e2 + n , where e1,e2 are idempotents and n is nilpotent, that commute with one another. An ideal I of a ring R is called a strongly nil* clean ideal if each element of I is strongly nil* clean element. We investigate some of its fundamental features, as well as its relationship to the nil clean ideal. |
| format | Article |
| id | doaj-art-358cc992bde74331b5ff1ea0e048de6f |
| institution | DOAJ |
| issn | 1815-4816 2311-7990 |
| language | English |
| publishDate | 2022-12-01 |
| publisher | Mosul University |
| record_format | Article |
| series | Al-Rafidain Journal of Computer Sciences and Mathematics |
| spelling | doaj-art-358cc992bde74331b5ff1ea0e048de6f2025-08-20T03:03:46ZengMosul UniversityAl-Rafidain Journal of Computer Sciences and Mathematics1815-48162311-79902022-12-01162575910.33899/csmj.2022.176591176591Strongly Nil* Clean IdealsMuayad Alali0Nazar ShukerCollege of computer science and Mathematics University of MosulAn element is known a strongly nil* clean element if a=e1 - e1e2 + n , where e1,e2 are idempotents and n is nilpotent, that commute with one another. An ideal I of a ring R is called a strongly nil* clean ideal if each element of I is strongly nil* clean element. We investigate some of its fundamental features, as well as its relationship to the nil clean ideal.https://csmj.mosuljournals.com/article_176591_fb0767abe3b5f003ab58bccf8337aca2.pdfnilpotent elementjacobson radicalstrongly nil* clean idealidempotent element |
| spellingShingle | Muayad Alali Nazar Shuker Strongly Nil* Clean Ideals Al-Rafidain Journal of Computer Sciences and Mathematics nilpotent element jacobson radical strongly nil* clean ideal idempotent element |
| title | Strongly Nil* Clean Ideals |
| title_full | Strongly Nil* Clean Ideals |
| title_fullStr | Strongly Nil* Clean Ideals |
| title_full_unstemmed | Strongly Nil* Clean Ideals |
| title_short | Strongly Nil* Clean Ideals |
| title_sort | strongly nil clean ideals |
| topic | nilpotent element jacobson radical strongly nil* clean ideal idempotent element |
| url | https://csmj.mosuljournals.com/article_176591_fb0767abe3b5f003ab58bccf8337aca2.pdf |
| work_keys_str_mv | AT muayadalali stronglynilcleanideals AT nazarshuker stronglynilcleanideals |