Geodesic
Study of $(\sigma,\tau)$-Generalized Derivations with their Composition of Semiprime Rings
Kragujevac Journal of Mathematics, Tome 43 (2019) no. 4, p. 535 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The main purpose of this paper is to study and investigate certain results concerning the $(\sigma,\tau)$-generalized derivation $D$ associated with the $(\sigma,\tau)$-derivation $d$ of semiprime and prime rings $\mathbb{R}$, where $\sigma$ and $\tau$ act as two automorphism mappings of $\mathbb{R}$. We focus on the composition of $(\sigma,\tau)$-generalized derivations of the Leibniz's formula, where we introduce the general formula to compute the composition of the $(\sigma,\tau)$-generalized derivation $D$ of $\mathbb{R}$.
Classification : 16W25 16N60, 16U80
Keywords: Semiprime rings, prime rings, $(\sigma;\tau)$-derivations, torsion free rings, commuting mappings 
@article{KJM_2019_43_4_a3,
     author = {Ajda Fo\v{s}ner and Mehsin Jabel Atteya},
     title = {Study of $(\sigma,\tau)${-Generalized} {Derivations} with their {Composition} of {Semiprime} {Rings}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {535 },
     publisher = {mathdoc},
     volume = {43},
     number = {4},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2019_43_4_a3/}
}
TY  - JOUR
AU  - Ajda Fošner
AU  - Mehsin Jabel Atteya
TI  - Study of $(\sigma,\tau)$-Generalized Derivations with their Composition of Semiprime Rings
JO  - Kragujevac Journal of Mathematics
PY  - 2019
SP  - 535 
VL  - 43
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2019_43_4_a3/
LA  - en
ID  - KJM_2019_43_4_a3
ER  - 
%0 Journal Article
%A Ajda Fošner
%A Mehsin Jabel Atteya
%T Study of $(\sigma,\tau)$-Generalized Derivations with their Composition of Semiprime Rings
%J Kragujevac Journal of Mathematics
%D 2019
%P 535 
%V 43
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2019_43_4_a3/
%G en
%F KJM_2019_43_4_a3
Ajda Fošner; Mehsin Jabel Atteya. Study of $(\sigma,\tau)$-Generalized Derivations with their Composition of Semiprime Rings. Kragujevac Journal of Mathematics, Tome 43 (2019) no. 4, p. 535 . http://geodesic.mathdoc.fr/item/KJM_2019_43_4_a3/