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Superderivations and Jordan superderivations of generalized quaternion algebras | ||
| Journal of Mahani Mathematical Research | ||
| دوره 13، شماره 5 - شماره پیاپی 30، اسفند 2024، صفحه 1-9 اصل مقاله (477.3 K) | ||
| نوع مقاله: Special Issue: First Joint IIIMT-Algebra Forum Conference 2023 | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2024.23328.1626 | ||
| نویسنده | ||
| Leila Heidari Zadeh* | ||
| Department of Mathematics and Statistics, Shoushtar Branch, Islamic Azad University, Shoushtar, Iran. | ||
| چکیده | ||
| Let $H_{\alpha,\beta}$ be the generalized quaternion algebra over a unitary commutative ring. This paper aims to consider superderivations and Jordan superderivations of $H_{\alpha,\beta}$ and hence to obtain the superalgebra $Der_{s} (H_{\alpha,\beta})$ of superderivations and $Der_{Js} (H_{\alpha,\beta})$ of Jordan superderivations of $H_{\alpha,\beta}$. It turns out that on generalized quaternion algebras, any superderivation is inner. In particular, there exist Jordan superderivations that are not superderivations. | ||
| کلیدواژه‌ها | ||
| Superalgebra؛ superderivation؛ Jordan superderivation؛ generalized quaternion algebra | ||
| مراجع | ||
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