Projections for generalized inverses
Sanzhang Xu, Jianlong Chen, Julio Benítez · Linear and Multilinear Algebra · 2017
Let R be a unital ring with involution. In Section 2, for given two core invertible elements , we investigate mainly the absorption law for the core inverse in virtue of the equality of the projections and . In Section 3, we study several relations concerning the projections and , where and . Some well-known results are extended to the -reducing ring case. As an application, EP elements in a -reducing ring are considered.