Prime Submodules and a Sheaf on the Prime Spectra of Modules

DOI10.1080/00927872.2013.780063zbMath1295.13017arXiv1305.1556OpenAlexW2071895276MaRDI QIDQ5417963

Dawoud Hassanzadeh-Lelekaami, Hajar Roshan Shekalgourabi

Publication date: 23 May 2014

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

Full work available at URL: https://arxiv.org/abs/1305.1556

zbMATH Keywords

prime submodulesZariski topologylocal cohomology modulessheaf of modulesideal transform modules

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Other special types of modules and ideals in commutative rings (13C13) Theory of modules and ideals in commutative rings (13C99) Foundations of algebraic geometry (14A99) Elementary questions in algebraic geometry (14A25)

Related Items (8)

Unnamed Item ⋮ Unnamed Item ⋮ A generalization of Hartshorne's connectedness theorem ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A sheaf on the second spectrum of a module ⋮ On S-Zariski topology ⋮ On the prime spectrum of an le-module

Cites Work

• Unnamed Item
• Unnamed Item
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• An introduction to Zariski spaces over Zariski topologies
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• Weak Multiplication Modules
• Modules with Noetherian Spectrum
• Prime submodules
• On commutative noetherian rings which satisfy the generalized radical formula
• A principal ideal theorem analogue for modules over commutative rings
• On dimensions of finitely generated modules
• Saturations of Submodules
• On radicals of submodules
• PRIME AND RADICAL SUBMODULES OF MODULES OVER COMMUTATIVE RINGS
• Spectra of modules
• Modules and Spectral Spaces
• ON THE SHEAF OF MODULES
• Modules which satisfy the radical formula

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