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*-alpha-derivation on prime *-rings | ||
| Journal of Algebra and Related Topics | ||
| دوره 10، شماره 1، شهریور 2022، صفحه 63-69 اصل مقاله (227.73 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2021.20488.1312 | ||
| نویسنده | ||
| K. Kumar* | ||
| Department of Mathematics, Aligarh Muslim University, Aligarh, India | ||
| چکیده | ||
| Let $\Re$ be an associative ring with involution $*$. An additive map $\lambda\rightarrow \lambda^{*}$ of $\Re$ into itself is called an involution if the following conditions are satisfied $(i) (\lambda\mu)^{*}=\mu^{*}\lambda^{*}$, $(ii) (\lambda^{*})^{*}=\lambda ~~ \mbox{for all}~ \lambda,\mu\in \Re$. A ring equipped with an involution is called an $*$-ring or ring with involution. The aim of the present paper is to establish some results on $*$-$\alpha$-derivations in $*$-rings and investigate the commutativity of prime $*$-rings admitting $*$-$\alpha$-derivations on $\Re$ satisfying certain identities also prove that if $\Re$ admits a reverse $*$-$\alpha$-derivation $\delta$ of $\Re$, then $\alpha\in Z(\Re)$ and some related results have also been discussed. | ||
| کلیدواژه‌ها | ||
| Prime *-ring؛ *- α- derivation؛ reverse *- α-derivation | ||
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آمار تعداد مشاهده مقاله: 582 تعداد دریافت فایل اصل مقاله: 506 |
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