https://scholars.lib.ntu.edu.tw/handle/123456789/572143
標題: | Additive maps of semiprime rings satisfying an engel condition | 作者: | Lee T.-K Li Y Tang G. TSIU-KWEN LEE |
公開日期: | 2021 | 卷: | 58 | 期: | 3 | 起(迄)頁: | 659-668 | 來源出版物: | Bulletin of the Korean Mathematical Society | 摘要: | Let R be a semiprime ring with maximal right ring of quotients Qmr(R), and let n1, n2, …, nk be k fixed positive integers. Suppose that R is (n1 +n2 +· · ·+nk) !-torsion free, and that f: ρ → Qmr(R) is an additive map, where ρ is a nonzero right ideal of R. It is proved that if [[…[f(x), xn1 ], … ], xnk = 0 for all x ? ρ, then [f(x), x] = 0 for all x ? ρ. This gives the result of Beidar et al. [2] for semiprime rings. Moreover, it is also proved that if R is p-torsion, where p is a prime integer with (Formula Presented), and if f: R → Qmr(R) is an additive map satisfying [[ … [f(x), xn1 ], …], xnk] = 0 for all x ? R, then [f(x), x] = 0 for all x ? R. ? 2021 Korean Mathematical Society. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85108066050&doi=10.4134%2fBKMS.b200460&partnerID=40&md5=d7bf50e2294c0a4cf69f191ab38ed0b8 https://scholars.lib.ntu.edu.tw/handle/123456789/572143 |
ISSN: | 10158634 | DOI: | 10.4134/BKMS.b200460 |
顯示於: | 數學系 |
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