On complete lattices of radical submodules and \(z\)-submodules
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Publication:6657155
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)
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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