Structure of $3$-Prime Near Rings with Generalized $(\sigma,\tau)$-$n$-Derivations
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 6, p. 891
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper, we define generalized $(\sigma,\tau)$-$n$-derivation for any mappings $\sigma$ and $\tau$ of a near ring $N$ and also investigate the structure of a $3$-prime near ring satisfying certain identities with generalized $(\sigma,\tau)$-$n$-derivation. Moreover, we characterize the aforementioned mappings.
Classification :
16N60, 16W25, 16Y30
Keywords: 3-prime near ring, semigroup ideal, $(\sigma;\tau)$-$n$-derivations, generalized $(\sigma;\tau)$-$n$-derivations
Keywords: 3-prime near ring, semigroup ideal, $(\sigma;\tau)$-$n$-derivations, generalized $(\sigma;\tau)$-$n$-derivations
@article{KJM_2023_47_6_a5,
author = {Asma Ali and Abdelkarim Boua and Inzamam Ul Huque},
title = {Structure of $3${-Prime} {Near} {Rings} with {Generalized} $(\sigma,\tau)$-$n${-Derivations}},
journal = {Kragujevac Journal of Mathematics},
pages = {891 },
publisher = {mathdoc},
volume = {47},
number = {6},
year = {2023},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2023_47_6_a5/}
}
TY - JOUR AU - Asma Ali AU - Abdelkarim Boua AU - Inzamam Ul Huque TI - Structure of $3$-Prime Near Rings with Generalized $(\sigma,\tau)$-$n$-Derivations JO - Kragujevac Journal of Mathematics PY - 2023 SP - 891 VL - 47 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/KJM_2023_47_6_a5/ LA - en ID - KJM_2023_47_6_a5 ER -
%0 Journal Article %A Asma Ali %A Abdelkarim Boua %A Inzamam Ul Huque %T Structure of $3$-Prime Near Rings with Generalized $(\sigma,\tau)$-$n$-Derivations %J Kragujevac Journal of Mathematics %D 2023 %P 891 %V 47 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/KJM_2023_47_6_a5/ %G en %F KJM_2023_47_6_a5
Asma Ali; Abdelkarim Boua; Inzamam Ul Huque. Structure of $3$-Prime Near Rings with Generalized $(\sigma,\tau)$-$n$-Derivations. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 6, p. 891 . http://geodesic.mathdoc.fr/item/KJM_2023_47_6_a5/