On DMP inverses and m-EP elements in rings

2018/02/05 by Huihui Zhu
Computer Science · Mathematics · #Matrix Theory and Algorithms #Advanced Topics in Algebra #Algebraic and Geometric Analysis

paper · doi:10.1080/03081087.2018.1432546

Abstract

Let R be a unital ∗-ring. In this paper, we introduce pseudo DMP inverses and generalized m-EP elements in R, which can been seen as extensions of DMP inverses and m-EP matrices, respectively. Also, we investigate both pseudo DMP inverses and generalized m-EP elements for their characterizations and properties.

Citations

• The class ofm-EPandm-normal matrices
• On a new generalized inverse of matrices

Related

• *-DMP elements in *-semigroups and *-rings
• New results on EP elements in rings with involution
• Weighted pseudo core inverses in rings
• EP elements in rings with involution
• The Sum of EP elements in a ring with involution