Characterizations and representations of core and dual core inverses

Abstract

In this paper, double commutativity and the reverse order law for the core inverse are considered. Then, new characterizations of the Moore-Penrose inverse of a regular element are given by one-sided invertibilities in a ring. Furthermore, the characterizations and representations of the core and dual core inverses of a regular element are considered.

19 pages, http://dx.doi.org/10.4153/CMB-2016-045-7

References in corpus (1)

• New characterizations for core inverses in rings with involution

Cited by in corpus (8)

• On forward-order law for core inverse in rings
• Generalized core inverses of matrices
• The quaternion core inverse and its generalizations
• The core and dual core inverse of a morphism with factorization
• The core and dual core inverses of morphisms with kernels
• Determinantal representations of the weighted core-EP, DMP, MPD, and CMP inverses of matrices with quaternion and complex elements
• Characterizations of core and dual core inverses in rings with involution
• Three limit representations of the core-EP inverse