论文标题
F-Rough环的强大设定值的基本定理
A fundamental theorem of powerful set-valued for F-rough ring
论文作者
论文摘要
在本文中，我们在倒数设置值映射上介绍了上下近似值，以及在强大的设置有价值的同构中建立的近似值，从环R1到戒指R2的功率集。此外，有价值的功能集合的下部和上部近似值的性质是研究。此外，我们将在近似F-Rough环作为新结果的近似值中提供同构定理的证明。但是，我们将证明强大的设定值同构的内核是R1的子。我们的结果是引入RING的第一个同构定理，因为它概括了设定的有价值映射的概念。
In this paper, we introduce the upper and lower approximations on the invers set-valued mapping and the approximations an established on a powerful set valued homomorphism from a ring R1 to power sets of a ring R2. Moreover, the properties of lower and upper approximations of a powerful set valued are studies. In addition, we will give a proof of the theorem of isomorphism over approximations F-rough ring as new result. However, we will prove the kernel of the powerful set-valued homomorphism is a subring of R1. Our result is introduce the first isomorphism theorem of ring as generalized the concept of the set valued mappings.
