On rings and Banach algebras with skew derivations
收藏DataCite Commons2020-10-19 更新2025-04-16 收录
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http://siba-ese.unisalento.it/index.php/notemat/article/view/22847/19160
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资源简介：
In the present paper, we investigate the commutativity of a prime Banach algebra with skew derivations and prove that if $\Aa$ is prime Banach algebra and $\Aa$ has a nonzero continuous linear skew derivation $\f$ from $\Aa$ to $\Aa$ such that $[\f(\xa^{m}), \f(\ya^{n})] - [\xa^{m}, \ya^{n}] \in \z(\Aa)$ for an integers $m = m(\xa, \ya)>1$ and $n = n(\xa, \ya)>1$ and sufficiently many $\xa, \ya$, then $\Aa$ is commutative.
提供机构：
University of Salento
创建时间：
2020-10-19
