On the Prime Spectrum of a Module and Zariski Topologies

DOI10.1080/00927870903386510zbMath1206.13016OpenAlexW2109075306MaRDI QIDQ3079291

R. Ovlyaee-Sarmazdeh, Habibollah Ansari-Toroghy

Publication date: 2 March 2011

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

Full work available at URL: https://doi.org/10.1080/00927870903386510

zbMATH Keywords

Zariski topologyprime submodulespectral spacetop moduleprimeful moduleX-injective module

Mathematics Subject Classification ID

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

Related Items (16)

ON THE MAXIMAL SPECTRUM OF A MODULE ⋮ A new topology over the primary-like spectrum of a module ⋮ Zariski topology on the spectrum of fuzzy classical primary submodules ⋮ The Graded Classical Prime Spectrum with the Zariski Topology as a Notherian Topological Space ⋮ On the graph of modules over commutative rings ⋮ On the Zariski topology over the primary-like spectrum ⋮ Topological properties of the prime spectrum of a semimodule ⋮ Unnamed Item ⋮ On the Zariski topology over an $L$-module $M$ ⋮ Modules and Spectral Spaces ⋮ The Zariski Topology-Graph of Modules Over Commutative Rings ⋮ On the maximal spectrum of a module and Zariski topology ⋮ Unnamed Item ⋮ ZARISKI-LIKE SPACES OF CERTAIN MODULES ⋮ On spectrum of comultiplication modules ⋮ PRIMARY ZARISKI TOPOLOGY ON THE PRIMARY SPECTRUM OF A MODULE

Cites Work

• Unnamed Item
• Prime submodules of Noetherian modules
• On the spectrum of a module over a commutative ring
• Multiplication Modules in Which Every Prime Submodule is Contained in a Unique Maximal Submodule
• On the Prime Spectrum ofX-Injective Modules
• Saturations of Submodules
• Spectra of modules

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