The Zariski Topology on the Second Spectrum of a Module

DOI10.1142/S1005386714000625zbMath1309.13011OpenAlexW2081230886MaRDI QIDQ2928451

Habibollah Ansari-Toroghy, Faranak Farshadifar

Publication date: 7 November 2014

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

Full work available at URL: https://doi.org/10.1142/s1005386714000625

zbMATH Keywords

Zariski topologyspectral spacesecond spectrumsecond submodulecotop module

Mathematics Subject Classification ID

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

Related Items

Unnamed Item, The Zariski topology on the second spectrum of a module (II), On the second spectrum and the second classical Zariski topology of a module, On $S$-comultiplication modules, Finitely generated coreduced comultiplication modules, Second spectrum of modules and spectral spaces, Unnamed Item, A sheaf on the second spectrum of a module, On weakly 2-prime ideals in commutative rings, On the interior of a submodule with respect to a set of ideals, Unnamed Item, Unnamed Item, Decomposition of modules into modules whose annihilators are pseudo-irreducible, Second classical Zariski topology on second spectrum of lattice modules, Almost prime and weakly prime submodules, Second multiplication modules, Zariski second radical elements of lattice modules, On \(S\)-second spectrum of a module, On S-Zariski topology, On the upper dual Zariski topology, Quasi 2-absorbing second modules

Cites Work

• A dual Zariski topology for modules.
• On the dual notion of prime submodules. II
• On the Dual Notion of Prime Submodules
• On the spectrum of a module over a commutative ring
• Modules with Noetherian Spectrum
• The co-localization of an Artinian module
• The Minimal Prime Spectrum of a Commutative Ring
• ARTINIAN MODULES AND HILBERT POLYNOMIALS