On existence of joins and meets under the star order in strong Rickart rings

DOI10.1080/03081087.2021.1987377OpenAlexW3210539002MaRDI QIDQ6042717

Jānis Cīrulis, Insa Cremer

Publication date: 3 May 2023

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

Full work available at URL: https://doi.org/10.1080/03081087.2021.1987377

zbMATH Keywords

joinmeetstar orderrickart *-ringstrong rickart ring

Mathematics Subject Classification ID

Partial orders, general (06A06) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Conditions on elements (16U99) Associative rings and algebras with additional structure (16W99)

Cites Work

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• Properties of the star supremum for arbitrary Hilbert space operators
• Coherent and precoherent elements in Rickart *-rings
• Relatively orthocomplemented skew nearlattices in Rickart rings
• On the *-order for Rickart *-rings
• Lattice operations on Rickart ∗-rings under the star order
• Extending the star order to Rickart rings

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