Extending the star order to Rickart rings

DOI10.1080/03081087.2015.1095858zbMath1358.06012OpenAlexW2192534245MaRDI QIDQ5741222

Jānis Cīrulis

Publication date: 22 July 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2015.1095858

zbMATH Keywords

orthogonalitystar orderlattice operationsspace preorderRickart \(^\ast\)-ringstrong Rickart ring

Mathematics Subject Classification ID

Partial orders, general (06A06) Abstract operator algebras on Hilbert spaces (47L30) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Ordered rings, algebras, modules (06F25)

Cites Work

• Quasi-orthomodular posets and weak BCK-algebras.
• On the *-order for Rickart *-rings
• Relative inverses in Baer \({}^*\)-semigroups
• Star, left-star, and right-star partial orders in Rickart ∗-rings
• Lattice operations on Rickart ∗-rings under the star order
• On partial orders in Rickart rings
• Natural structures on semigroups with involution

Related Items (5)

Notes on reduced Rickart rings. I. Representation and equational axiomatizations ⋮ On existence of joins and meets under the star order in strong Rickart rings ⋮ On the star and minus orders on Hilbert space operators ⋮ The diamond partial order for strong Rickart rings ⋮ Spectral order on a synaptic algebra

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