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Non-Linear New Product ABPi Derivations on Rings | ||
| Computational Sciences and Engineering | ||
| مقاله 9، دوره 3، شماره 2، آذر 2023، صفحه 265-272 اصل مقاله (308.61 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22124/cse.2024.27486.1080 | ||
| نویسندگان | ||
| Fariba Kazemi؛ Ali Taghavi* | ||
| Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran | ||
| چکیده | ||
| Let R be aunital prime ring with unit I which contains a non-trivial idempotent P_1. We will show that anyarbitrary not necessarily linearmap Φ:R→Rsatisfies the condition Φ(ABP_i )=Φ(A)BP_i+AΦ(B) P_i+ABΦ(P_i ). i=1.2 (0.1) for allA.B∈R, where P_2=I-P_1, is an additive derivation. Let R be aunital prime ring with unit I which contains a non-trivial idempotent P_1. We will show that anyarbitrary not necessarily linearmap Φ:R→Rsatisfies the condition Φ(ABP_i )=Φ(A)BP_i+AΦ(B) P_i+ABΦ(P_i ). i=1.2 (0.1) for allA.B∈R, where P_2=I-P_1, is an additive derivation. | ||
| کلیدواژه‌ها | ||
| Jordan triple derivation؛ Prime ∗ -algebra؛ Additive map | ||
| مراجع | ||
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