On w-Neat Rings
In this paper, we offer a new generalization of the neat ring that is called a w-neat ring. A ring $ R $ is said to be weakly clean if every $ r\in R $ can be written as $ r=u+e $ or $ r=u-e $ where $ u\in$ U$(R) $ and $ e\in$ Id$(R) $. We define a w-neat ring to be one for which every p...
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| Format: | Article |
| Language: | English |
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University of Kashan
2023-03-01
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| Series: | Mathematics Interdisciplinary Research |
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| Online Access: | https://mir.kashanu.ac.ir/article_113766_9174f06d418c8dc1d065ce2e54b7a344.pdf |
| _version_ | 1797630864461398016 |
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| author | Fatemeh Rashedi |
| author_facet | Fatemeh Rashedi |
| author_sort | Fatemeh Rashedi |
| collection | DOAJ |
| description | In this paper, we offer a new generalization of the neat ring that is called a w-neat ring. A ring $ R $ is said to be weakly clean if every $ r\in R $ can be written as $ r=u+e $ or $ r=u-e $ where $ u\in$ U$(R) $ and $ e\in$ Id$(R) $. We define a w-neat ring to be one for which every proper homomorphic image is weakly clean.We obtain some properties of w-neat rings. |
| first_indexed | 2024-03-11T11:14:00Z |
| format | Article |
| id | doaj.art-f992adf26b6f45ada9e62f60ea1551be |
| institution | Directory Open Access Journal |
| issn | 2476-4965 |
| language | English |
| last_indexed | 2024-03-11T11:14:00Z |
| publishDate | 2023-03-01 |
| publisher | University of Kashan |
| record_format | Article |
| series | Mathematics Interdisciplinary Research |
| spelling | doaj.art-f992adf26b6f45ada9e62f60ea1551be2023-11-11T10:09:18ZengUniversity of KashanMathematics Interdisciplinary Research2476-49652023-03-0181657010.22052/mir.2022.248393.1375113766On w-Neat RingsFatemeh Rashedi0Department of Mathematics,Velayat University,Iranshahr, IranIn this paper, we offer a new generalization of the neat ring that is called a w-neat ring. A ring $ R $ is said to be weakly clean if every $ r\in R $ can be written as $ r=u+e $ or $ r=u-e $ where $ u\in$ U$(R) $ and $ e\in$ Id$(R) $. We define a w-neat ring to be one for which every proper homomorphic image is weakly clean.We obtain some properties of w-neat rings.https://mir.kashanu.ac.ir/article_113766_9174f06d418c8dc1d065ce2e54b7a344.pdfclean ringcleaned poorly ringw-neat ring |
| spellingShingle | Fatemeh Rashedi On w-Neat Rings Mathematics Interdisciplinary Research clean ring cleaned poorly ring w-neat ring |
| title | On w-Neat Rings |
| title_full | On w-Neat Rings |
| title_fullStr | On w-Neat Rings |
| title_full_unstemmed | On w-Neat Rings |
| title_short | On w-Neat Rings |
| title_sort | on w neat rings |
| topic | clean ring cleaned poorly ring w-neat ring |
| url | https://mir.kashanu.ac.ir/article_113766_9174f06d418c8dc1d065ce2e54b7a344.pdf |
| work_keys_str_mv | AT fatemehrashedi onwneatrings |