AI 中文总结
研究通过满足特定恒等式的 *- 逆 P - 导数对建立商环\(R/P\)交换性准则，还恢复了素环上相关结果。
AI 中文摘要
本文通过满足适当换位子和反换位子微分恒等式的 *- 逆 P - 导数对，建立了商环\(R/P\)的交换性准则。作为应用，恢复了一些关于素环上 *- 逆导数的结果。
英文摘要
In this paper, we establish commutativity criteria for the quotient ring $R/P$ through pairs of $\ast$-reverse $P$-derivations satisfying suitable commutator and anti-commutator differential identities. As applications, a number of results concerning $\ast$-reverse derivations on prime rings are recovered.
