CHARACTERIZATION OF JORDAN $\{g, h\}$-DERIVATIONS OVER MATRIX ALGEBRAS | ||
| Journal of Algebraic Systems | ||
| دوره 11، شماره 1، آذر 2023، صفحه 77-95 اصل مقاله (166 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2022.11250.1562 | ||
| نویسندگان | ||
| Arindam Ghosh1؛ Om Prakash* 2 | ||
| 1Department of Mathematics, Government Polytechnic Kishanganj, Thakurganj, P.O. Box 855116, Kishanganj, India. | ||
| 2Department of Mathematics, Indian Institute of Technology Patna, P.O. Box 801106, Patna, India. | ||
| چکیده | ||
| In this article, we characterize $\{g, h\}$-derivation on the upper triangular matrix algebra $\mathcal{T}_n(C)$ and prove that every Jordan $\{g, h\}$-derivation over $\mathcal{T}_n(C)$ is a $\{g, h\}$-derivation under a certain condition, where $C$ is a $2$-torsion free commutative ring with unity $1\neq 0$. Also, we study $\{g, h\}$-derivation and Jordan $\{g, h\}$-derivation over full matrix algebra $\mathcal{M}_n(C)$. | ||
| کلیدواژهها | ||
| Derivation؛ {g, h}-Derivation؛ Upper Triangular Matrix Algebra؛ Matrix Algebra | ||
| مراجع | ||
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