(ϕ, φ)-derivations on semiprime rings and Banach algebras
نویسندگان
چکیده
Abstract Let ℛ be a semiprime ring with unity e and ϕ , φ automorphisms of ℛ. In this paper it is shown that if satisfies 2
منابع مشابه
Derivations in semiprime rings and Banach algebras
Let $R$ be a 2-torsion free semiprime ring with extended centroid $C$, $U$ the Utumi quotient ring of $R$ and $m,n>0$ are fixed integers. We show that if $R$ admits derivation $d$ such that $b[[d(x), x]_n,[y,d(y)]_m]=0$ for all $x,yin R$ where $0neq bin R$, then there exists a central idempotent element $e$ of $U$ such that $eU$ is commutative ring and $d$ induce a zero derivation on $(1-e)U$. ...
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ژورنال
عنوان ژورنال: Communications in Mathematics
سال: 2021
ISSN: ['2336-1298', '1804-1388']
DOI: https://doi.org/10.2478/cm-2021-0013