On a weighted core inverse in a ring with involution

2017/09/19 by Dijana Mosić, Chunyuan Deng, Haifeng Ma · 4 citations
Computer Science · Mathematics · Materials Science · #Matrix Theory and Algorithms #Advanced Topics in Algebra #Liquid Crystal Research Advancements

paper · doi:10.1080/00927872.2017.1378895

Abstract

We define and investigate the e-core inverse and f-dual core inverse in a ring with involution as extensions of the core and dual core inverse, respectively. Using these definitions, we present and characterize the e-core partial order and the f-dual core partial order. We describe the sets of all elements a Rickart ∗-ring which are below a given element under the e-core and f-dual core partial order. New characterizations of weighted-EP elements are given too.

Citations

• Generalized inverses over integral domains
• Core inverse of matrices

Cited by

• Characterization and Representation of Weighted Core Inverse of Matrices
• Characterizations of weighted (b,c) inverse
• Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses of matrices with quaternion and complex elements
• The quaternion core inverse and its generalizations

Related

• Further results on weighted core inverse in a ring
• Weighted pseudo core inverses in rings
• Group, Moore-Penrose, core and dual core inverse in rings with involution
• Characterizations of weighted core inverse in rings with involution
• Pseudo core inverses in rings with involution