

a note on derivations in rings and banach algebras



نویسنده

rehman nadeem ur ,huang shuliang ,raza mohd arif

منبع

journal of algebraic structures and their applications  2019  دوره : 6  شماره : 1  صفحه:115 125



چکیده

let $r$ be a prime ring with $u$ the utumi quotient ring and $q$ be the martindale quotient ring of $r$, respectively. let $d$ be a derivation of $r$ and $m,n$ be fixed positive integers. in this paper, we study the case when one of the following holds:$(i)$~ $d(x)circ_n d(y)$=$xcirc _m y$ $(ii)$~$d(x)circ_m d(y)$=$(d(xcirc y))^n$ for all $x,y$ in some appropriate subset of $r$. we also examine the case where $r$ is a semiprime ring. finally, as an application we apply our result to the continuous derivations on banach algebras.

کلیدواژه

prime and semiprime rings ,derivations ,martindale ring of quotients ,banach algebras ,radical

آدرس

aligarh muslim university, department of mathematics, india, chuzhou university, school of mathematics and finance, china, king abdulaziz university, faculty of science and artsrabigh, department of mathematics, saudi arabia

پست الکترونیکی

arifraza03@gmail.com










