CENTER FOR APPLIED MATHEMATICS AND THEORETICAL PHYSICS
UNIVERZA V MARIBORU UNIVERSITY OF MARIBOR
MLADINSKA 3 SI-2000 MARIBOR SLOVENIA
Phone +(386) (2) 2355 350 and 2355 351 $\bullet$ Fax +(386) (2) 2355 360
Robnik@uni-mb.si $\bullet$ www.camtp.uni-mb.si
PROF.DR. MARKO ROBNIK, MEMBER OF EASA, DIRECTOR

Seminarsko predavanje
Centra za uporabno matematiko in teoretično fiziko

On derivations and related topics
Dedicated to the memory of Professor Ivan Vidav (1918-2015)

Professor Dr. Joso Vukman


Department of Mathematics,
Faculty of Natural Sciences and Mathematics, University of Maribor

Abstract: Let $R$ be a ring. An additive mapping $D:R\rightarrow R$ is called a derivation in case $D(xy)=D(x)y+xD(y)$ holds for all $% x,y\in R$ and is called a Jordan derivation if $D(x^{2})=D(x)x+xD(x)$ holds for all $x\in R$. An additive mapping $D:R\rightarrow R$ is called a left derivation in case $D(xy)=xD(y)+yD(x)$ holds for all $x,y\in R$ and is called a left Jordan derivation if $D(x^{2})=2D(x)x$ holds for all $x\in R$. An additive mapping $T:R\rightarrow R$ is called left (right) centralizer if $T(xy)=T(x)y$ ($T(xy)=xT(y)$) holds for all $x,y\in R.$An additive mapping $T:R\rightarrow R$ is called left (right) centralizer if $T(xy)=T(x)y$ ($T(xy)=xT(y)$) holds for all $x,y\in R.$ We call $T:R\rightarrow R$ a two-sided centralizer in case $T$ is both a left and a right centralizer. An additive mapping $T:R\rightarrow R$ is called left (right) Jordan centralizer if $T(x^{2})=T(x)x$ ( $T(x^{2})=xT(x)$) holds for all $x\in R.$ We intend to present some results related to derivations, left derivations and centralizers in prime and semiprime rings.

Seminarsko predavanje (v angleškem jeziku) bo v četrtek 24. novembra 2016 ob 16:30 uri v seminarski sobi CAMTP na Mladinski 3, drugo nadstropje levo. Vljudno vabljeni vsi zainteresirani, tudi študentje.

Prof.Dr. Marko Robnik, član EASA
-- Direktor CAMTP --