A partial order on subsets of Baer bimodules with applications to C∗-modules

DOI10.1142/S0219498821501954OpenAlexW3036270253MaRDI QIDQ5163429

Gary F. Birkenmeier, Yeliz Kara

Publication date: 4 November 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498821501954

zbMATH Keywords

partial orderBaer ring\(C^\ast\)-moduleBaer bimoduleprojection invariance

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Bimodules in associative algebras (16D20) Ordered rings, algebras, modules (06F25) General module theory in associative algebras (16D10)

Cites Work

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• Automorphisms of \(B(H)\) with respect to minus partial order
• Generalized triangular matrix rings and the fully invariant extending property.
• Dual rings
• Extensions of Rings and Modules
• Minus partial order in Rickart rings
• Star order on operator and function algebras
• Goldie Extending Modules
• Natural structures on semigroups with involution
• Baer and Quasi-Baer Modules
• Self-adjoint ideals in baer *-rings
• π-Baer rings
• Partial orders on the power sets of Baer rings
• s.Baer and s.Rickart Modules
• 𝔏-Rickart Modules
• Regular Modules

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