Lattice properties of the minus order on regular modules

DOI10.1216/rmj.2022.52.15OpenAlexW4224214710MaRDI QIDQ2136353

Abdullah Harmanci, Burcu Ungor, Savci Rahman Argun, Tugce Pekacar Calci, Sait Halıcıoglu

Publication date: 10 May 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-1/Lattice-properties-of-the-minus-order-on-regular-modules/10.1216/rmj.2022.52.15.full

zbMATH Keywords

minus orderregular moduleplus order

Mathematics Subject Classification ID

Partial orders, general (06A06) Ordered rings, algebras, modules (06F25) Ordered structures (06F99) General and miscellaneous (16B99)

Cites Work

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• Matrix partial orders through generalized inverses: Unified theory
• Automorphisms of \(B(H)\) with respect to minus partial order
• On some characterizations of the star partial ordering for matrices and rank subtractivity
• Prime submodules of Noetherian modules
• Shorted Operators Relative to a Partial Order in a Regular Ring
• UNIT-REGULAR MODULES
• Minus partial order in regular modules
• The direct sum order in regular modules
• On properties of the minus partial order in regular modules
• Regular Modules

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