On the *-order for Rickart *-rings

DOI10.1007/BF01191791zbMath0516.06016OpenAlexW2032339113MaRDI QIDQ1052357

Melvin F. Janowitz

Publication date: 1983

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01191791

zbMATH Keywords

Rickart *-ring*-order*-regular ringBaer *-ringcomplete lower semilatticeinvolution ringpseudo upper semilattice

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Semilattices (06A12)

Related Items

Properties of the star supremum for arbitrary Hilbert space operators ⋮ Coherent and precoherent elements in Rickart *-rings ⋮ Lattice operations on Rickart ∗-rings under the star order ⋮ On existence of joins and meets under the star order in strong Rickart rings ⋮ Extensions of the Fill–Fishkind formula and the infimum – parallel sum relation ⋮ Star order on operator and function algebras and its nonlinear preservers ⋮ Bibliography on quantum logics and related structures ⋮ Extending the star order to Rickart rings ⋮ Left-star order structure of Rickart *-rings ⋮ Star order and topologies on von Neumann algebras ⋮ Order properties of generalized projections ⋮ Natural partial order on rings with involution

Cites Work

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• Lattice properties of the *-order for complex matrices
• A note on Rickart rings and semi-Boolean algebras
• Relative inverses in Baer \({}^*\)-semigroups
• Pseudo Lattice Properties of the Star-Orthogonal Partial Ordering for Star- Regular Rings
• Natural structures on semigroups with involution
• Direct Product Decomposition of Commutative Semisimple Rings
• Direct Product of Division Rings and a Paper of Abian