Attaching a topological space to a module

DOI10.2298/FIL1809171HzbMath1499.13045OpenAlexW2941038704WikidataQ128007910 ScholiaQ128007910MaRDI QIDQ5032363

Dawood Hassanzadeh-lelekaami

Publication date: 16 February 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1809171h

zbMATH Keywords

Zariski topologyNoetherian spectrumstrongly prime submodules

Mathematics Subject Classification ID

Other special types of modules and ideals in commutative rings (13C13) Theory of modules and ideals in commutative rings (13C99)

Cites Work

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• An introduction to Zariski spaces over Zariski topologies
• Distributive rings, uniserial rings of fractions, and endo-Bezout modules.
• Weakly prime modules.
• On almost prime submodules
• Rings with Noetherian spectrum
• On the spectrum of a module over a commutative ring
• Weak Multiplication Modules
• Strongly Prime Submodules
• Prime submodules
• Modules Whose Lattice of Submodules is Distributive
• On dimensions of finitely generated modules
• Saturations of Submodules
• A closure operation on submodules
• Spectra of modules
• Content Modules and Algebras.
• Multiplication modules
• Multiplication modules

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