论文标题
关于核心反向核心逆订单定律
On forward-order law for core inverse in rings
论文作者
论文摘要
如果$ a $和$ b $是一对可逆元素，那么$ ab $也是可逆的，并且产品的倒数$ ab $满足 $$（ab）^{ - 1} = a^{ - 1} b^{ - 1} $$被称为{\ it forward-ordore law}。 本文为圆环的核心逆向核心逆，以与涉及相关性建立了一些足够的条件。它还介绍了加权核心逆的远期定律和核心逆向的三重前阶定律。此外，我们讨论了摩尔 - 铅反向，群体和核心逆的杂种前阶定律。
If $a$ and $b$ are a pair of invertible elements, then $ab$ is also invertible and the inverse of the product $ab$ satisfying $$(ab)^{-1}=a^{-1}b^{-1}$$ is known as the {\it forward-order law}. This article establishes a few sufficient conditions of the forward-order law for the core inverse of elements in rings with involution. It also presents the forward-order law for the weighted core inverse and the triple forward-order law for the core inverse. Additionally, we discuss the hybrid forward-order law among the Moore-Penrose inverse, the group inverse, and the core inverse.
