Zariski Topologies for Coprime and Second Submodules

DOI10.1142/S1005386715000061zbMath1312.16002arXiv1008.4164OpenAlexW2963369945MaRDI QIDQ5496357

Jawad Y. Abuhlail

Publication date: 30 January 2015

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

Full work available at URL: https://arxiv.org/abs/1008.4164

zbMATH Keywords

spectramultiplication modulescomultiplication modulesZariski topologiescoprime submodulessecond submodules

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Basic constructions in general topology (54B99) Other classes of modules and ideals in associative algebras (16D80) General module theory in associative algebras (16D10) Other special types of modules and ideals in commutative rings (13C13)

Related Items

Unnamed Item ⋮ The Zariski topology on the second spectrum of a module (II) ⋮ Generalizations of strongly hollow ideals and a corresponding topology ⋮ PS-hollow representations of modules over commutative rings ⋮ On the second spectrum and the second classical Zariski topology of a module ⋮ Second spectrum of modules and spectral spaces ⋮ A sheaf on the second spectrum of a module ⋮ On the interior of a submodule with respect to a set of ideals ⋮ Unnamed Item ⋮ Decomposition of modules into modules whose annihilators are pseudo-irreducible ⋮ Second representable modules over commutative rings^* ⋮ Zariski-like topologies for lattices with applications to modules over associative rings ⋮ On \(S\)-second spectrum of a module ⋮ Strongly hollow elements of commutative rings ⋮ On the upper dual Zariski topology ⋮ Strongly sum 2-irreducible submodules of a module

Cites Work

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• STRONGLY IRREDUCIBLE SUBMODULES
• Modules whose proper submodules are non-hopf kernels
• Spectra of modules
• Arithmetical rings
• Multiplication modules
• Strongly irreducible ideals of a commutative ring

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