A Study of $*$-Prime Rings with Derivations
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 677
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This paper's major goal is to describe the structure of the $*$-prime ring, with the help of three different derivations $\alpha$, $\beta$ and $\gamma$ such that $\alpha([s_1,s_1^*])+[\beta(s_1),\beta(s_1^*)]+[\gamma(s_1), s_1^*]\in \Za(\chi)$ for all $s_1\in \chi$. Further, some more related results have also been discussed. As applications, classical theorems due to Bell-Daif \cite{BD1995} and Herstein \cite{INH2} are deduced.
Classification :
16N60, 16W10, 16W25
Keywords: prime ring, involution, derivation, central identities.
Keywords: prime ring, involution, derivation, central identities.
Adnan Abbasi; Shakir Ali; Abdul Nadim Khan; Muzibur Rahman Mozumder. A Study of $*$-Prime Rings with Derivations. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 5, p. 677 . http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a1/
@article{KJM_2025_49_5_a1,
author = {Adnan Abbasi and Shakir Ali and Abdul Nadim Khan and Muzibur Rahman Mozumder},
title = {A {Study} of $*${-Prime} {Rings} with {Derivations}},
journal = {Kragujevac Journal of Mathematics},
pages = {677 },
year = {2025},
volume = {49},
number = {5},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a1/}
}
TY - JOUR AU - Adnan Abbasi AU - Shakir Ali AU - Abdul Nadim Khan AU - Muzibur Rahman Mozumder TI - A Study of $*$-Prime Rings with Derivations JO - Kragujevac Journal of Mathematics PY - 2025 SP - 677 VL - 49 IS - 5 UR - http://geodesic.mathdoc.fr/item/KJM_2025_49_5_a1/ LA - en ID - KJM_2025_49_5_a1 ER -