On complete lattices of radical submodules and \(z\)-submodules

DOI10.1007/S00012-024-00880-6MaRDI QIDQ6657155

Hosein Fazaeli Moghimi, Seyedeh Fatemeh Mohebian

Publication date: 6 January 2025

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

zbMATH Keywords

framemultiplication modulecoherent mapradical submodule\(z\)-submodule

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Frames, locales (06D22) Basic constructions in general topology (54B99) Theory of modules and ideals in commutative rings (13C99)

Cites Work

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• A note on lattices of \(z\)-ideals of \(f\)-rings.
• Anti-homomorphisms between module lattices
• The Laskerian property in commutative rings
• Prime submodules of Noetherian modules
• Some connections between frames of radical ideals and frames of \(z\)-ideals
• Characterizations of Gelfand rings specially clean rings and their dual rings
• On the lattice of \(z\)-ideals of a commutative ring
• z-ideals and prime ideals
• Yosida frames
• The Zariski topology on the prime spectrum of a module
• Gelfand and exchange rings: their spectra in pointfree topology
• Complete homomorphisms between module lattices
• Ideals in rings of continuous functions
• MAPPINGS BETWEEN LATTICES OF RADICAL SUBMODULES
• Modules with Noetherian Spectrum
• On lattices of z-ideals of function rings
• PRIME AND RADICAL SUBMODULES OF MODULES OVER COMMUTATIVE RINGS
• An extension of $z$-ideals and $z^\circ$-ideals
• MAPPINGS BETWEEN MODULE LATTICES
• Multiplication modules

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