Star, sharp, core and dual core partial order in rings with involution

DOI10.1016/j.amc.2015.02.062zbMath1391.16044OpenAlexW2019641001MaRDI QIDQ1636905

Dragan S. Djordjević, Dragan S. Rakić

Publication date: 7 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.02.062

zbMATH Keywords

star partial ordercore inversecore partial ordersharp partial orderminus partial orderring with involution

Mathematics Subject Classification ID

Partial orders, general (06A06) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Topological and ordered rings and modules (16W80)

Related Items (14)

*-DMP elements in *-semigroups and *-rings ⋮ Some new results on the core partial order ⋮ On a weighted core inverse in a ring with involution ⋮ On the star and minus orders on Hilbert space operators ⋮ 1MP and MP1 inverses and one-sided star orders in a ring with involution ⋮ Equivalence relations based on \((b, c)\)-inverses in rings ⋮ Partial orders based on the CS decomposition ⋮ Weighted pre-orders involving the generalized Drazin inverse ⋮ Further Results on the Sharp Ordering in Rings ⋮ Monotone linear transformations on matrices over semirings ⋮ Sharp partial order and linear autonomous systems ⋮ Properties of core-EP order in rings with involution ⋮ Core partial order in rings with involution ⋮ On some orders in ∗-rings based on the core-EP decomposition

Cites Work

• Core inverse and core partial order of Hilbert space operators
• Group, Moore-Penrose, core and dual core inverse in rings with involution
• Matrix partial orders through generalized inverses: Unified theory
• Some more properties of core partial order
• The minus partial order and the shorted matrix
• On group inverses and the sharp order
• Generalized inverses. Theory and applications.
• Further properties on the core partial order and other matrix partial orders
• Core inverse of matrices
• Natural structures on semigroups with involution
• Note on the core matrix partial ordering
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Star, sharp, core and dual core partial order in rings with involution