论文标题
在Prime环中没有非平凡的两侧乘法（广义）-skew derivations
There are no nontrivial two-sided multiplicative (generalized)-skew derivations in prime rings
论文作者
论文摘要
正如最初由Ashraf和Mozumder定义的那样，乘法（广义）-Skew推导必须满足两个身份。在此简短说明中，我们表明，由于两个身份的同时满足，质子环的多重（广义）-skew推导是乘法（普遍）推导（即，不是偏斜），或者是广义的偏斜衍生（即，加添加剂）。因此，在乘法（广义）-skew推导的定义中，只能采用其中一个身份，以便在Prime Congs中获得一类新的派生。
As originally defined by Ashraf and Mozumder, multiplicative (generalized)-skew derivations must satisfy two identities. In this short note we show that, as a consequence of the simultaneous satisfaction of both identities, a multiplicative (generalized)-skew derivation of a prime ring is either a multiplicative (generalized) derivation (i.e., not skew), or a generalized skew derivation (i.e., additive). Therefore only one of the identities should be taken in the definition of multiplicative (generalized)-skew derivations in order to get a new class of derivations in prime rings.
