The $(j,m)$-core inverse in rings with involution

Authors : Sanzhang XU, Jianlong CHEN, Dijana MOSİĆ

Pages : 1676-1685

Doi:10.15672/hujms.701870

View : 14 | Download : 5

Publication Date : 2020-10-06

Article Type : Research Paper

Abstract :Let $R$ be a unital ring with involution. The $insert ignore into journalissuearticles values(j,m);$-core inverse of a complex matrix was extended to an element in $R$. New necessary and sufficient conditions such that an element in $R$ to be $insert ignore into journalissuearticles values(j,m);$-core invertible are given. Moreover, several additive and product properties of two $insert ignore into journalissuearticles values(j,m);$-core invertible elements are investigated and a order related to the $insert ignore into journalissuearticles values(j,m);$-core inverse is introduced. ***********************************************************************************************************************************
Keywords : Moore Penrose inverse j m, core inverse, EP element