首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Generalized Skew Derivations Implemented by Elementary Operators
Authors:Daniel Eremita  Ilja Gogić  Dijana Ilišević
Institution:1. Department of Mathematics and Computer Science, FNM, University of Maribor, 2000, Maribor, Slovenia
2. Department of Mathematics, University of Zagreb, Bijeni?ka 30, 10000, Zagreb, Croatia
3. Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi?a 4, 21000, Novi Sad, Serbia
Abstract:Let R be a semiprime ring with the maximal right ring of quotients Q mr . An additive map d: RQ mr is called a generalized skew derivation if there exists a ring endomorphism σ:RR and a map \(\d:R \to Q_{mr}\) such that \(d(xy)=\d(x)y+\sigma(x)d(y)\) for all x,y?∈?R. If σ is surjective, we determine the structure of generalized skew derivations for which there exists a finite number of elements a i ,b i ?∈?Q mr such that d(x)?=?a 1 xb 1?+???+?a n xb n for all x?∈?R.
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号