Special Identities with (α,β)-derivations
| Autor: | Chen, Tung-Shyan, 陳東賢 |
|---|---|
| Rok vydání: | 1996 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 84 Let R be a prime ring. In 1993 Bre\v{s}ar studied an identity f_1(x)f_2(y)=f_3(x)f_4(y) for all x,y\in R where each f_i is a derivation of R. Recently Chang considered a more general case when f_2 and f_3 are (α,β)-derivations, f_1 is an (α,α)$- derivation and f_4 is a (β,β)-derivation. We consider the most general case when each f_i is an (α_i,β_i)-derivation. We show that there exists an invertible element t in symmetric Martindale ring of quotients of Rsuch that f_1(x)=f_3( x)t and f_4(x)=tf_2(x) for all x\in R. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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