Results on Lie ideals of prime ringswith homoderivations
Let R be a prime ring of characteristic not 2 and U be a noncentral square closed Lie ideal of R. An additive mapping Hon R is called a homoderivation if H(xy) =H(x)H(y)+H(x)y+xH(y)for all x, y∈R. In this paper we investigate homoderivations satisfying certain differential identitieson square clos...
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| Format: | Article |
| Language: | English |
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University of Extremadura
2023-12-01
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| Series: | Extracta Mathematicae |
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| Online Access: | https://publicaciones.unex.es/index.php/EM/article/view/2427 |
| _version_ | 1797398193358503936 |
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| author | A. Sarikaya O. Gölbasi |
| author_facet | A. Sarikaya O. Gölbasi |
| author_sort | A. Sarikaya |
| collection | DOAJ |
| description |
Let R be a prime ring of characteristic not 2 and U be a noncentral square closed Lie ideal of R. An additive mapping Hon R is called a homoderivation if H(xy) =H(x)H(y)+H(x)y+xH(y)for all x, y∈R. In this paper we investigate homoderivations satisfying certain differential identitieson square closed Lie ideals of prime rings.
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| first_indexed | 2024-03-09T01:22:15Z |
| format | Article |
| id | doaj.art-29e3f86c5efc4becae69b1abb1e22d15 |
| institution | Directory Open Access Journal |
| issn | 0213-8743 2605-5686 |
| language | English |
| last_indexed | 2024-03-09T01:22:15Z |
| publishDate | 2023-12-01 |
| publisher | University of Extremadura |
| record_format | Article |
| series | Extracta Mathematicae |
| spelling | doaj.art-29e3f86c5efc4becae69b1abb1e22d152023-12-10T10:26:58ZengUniversity of ExtremaduraExtracta Mathematicae0213-87432605-56862023-12-01Results on Lie ideals of prime ringswith homoderivationsA. Sarikaya0O. Gölbasi1Department of Mathematics, Faculty of Science, Sivas Cumhuriyet University Sivas, TurkeyDepartment of Mathematics, Faculty of Science, Sivas Cumhuriyet University Sivas, Turkey Let R be a prime ring of characteristic not 2 and U be a noncentral square closed Lie ideal of R. An additive mapping Hon R is called a homoderivation if H(xy) =H(x)H(y)+H(x)y+xH(y)for all x, y∈R. In this paper we investigate homoderivations satisfying certain differential identitieson square closed Lie ideals of prime rings. https://publicaciones.unex.es/index.php/EM/article/view/2427prime ringLie idealhomoderivationcommutativity |
| spellingShingle | A. Sarikaya O. Gölbasi Results on Lie ideals of prime ringswith homoderivations Extracta Mathematicae prime ring Lie ideal homoderivation commutativity |
| title | Results on Lie ideals of prime ringswith homoderivations |
| title_full | Results on Lie ideals of prime ringswith homoderivations |
| title_fullStr | Results on Lie ideals of prime ringswith homoderivations |
| title_full_unstemmed | Results on Lie ideals of prime ringswith homoderivations |
| title_short | Results on Lie ideals of prime ringswith homoderivations |
| title_sort | results on lie ideals of prime ringswith homoderivations |
| topic | prime ring Lie ideal homoderivation commutativity |
| url | https://publicaciones.unex.es/index.php/EM/article/view/2427 |
| work_keys_str_mv | AT asarikaya resultsonlieidealsofprimeringswithhomoderivations AT ogolbasi resultsonlieidealsofprimeringswithhomoderivations |