论文标题
进一步导致环中的加权芯逆
Further results on weighted core inverse in a ring
论文作者
论文摘要
最近,引入了与无关的环中加权芯反向的概念,最近[Mosic等人。通讯。代数,2018年; 46(6); 2332-2345]。在本文中,我们探讨了加权核心倒数的新表示和表征,在一个在不同条件下的UNITAR环中,在一个Unital环中的两个加权核心可逆元素的差异和差异。此外,我们讨论了一个环中加权核心可逆元素的反向定律和混合型反向顺序定律。
The notion of the weighted core inverse in a ring with involution was introduced, recently [Mosic et al. Comm. Algebra, 2018; 46(6); 2332-2345]. In this paper, we explore new representation and characterization of the weighted core inverse of sum and difference of two weighted core invertible elements in an unital ring with involution under different conditions. Further, we discuss reverse order laws and mixed-type reverse order laws for the weighted core invertible elements in a ring.