On chains of prime submodules

DOI10.1007/BF02784529zbMath1067.13006MaRDI QIDQ1611538

Shing Hing Man, Patrick F. Smith

Publication date: 2002

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

chain of prime submodulesdimension of finitely generated modules over a Dedekind domain

Mathematics Subject Classification ID

Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (13)

SOME RESULTS ON INTEGER-VALUED POLYNOMIALS OVER MODULES ⋮ SOME RESULTS ON STRONGLY PRIME SUBMODULES ⋮ Strongly Prime Submodules, G-Submodules and Jacobson Modules ⋮ A generalization of the classical Krull dimension for modules. ⋮ A Cohen-type theorem for w-Noetherian modules ⋮ A short Note on prime submodules ⋮ Dimension of a ring with respect to a subring ⋮ Modules with Noetherian Spectrum ⋮ Height of prime and weakly prime submodules ⋮ NOETHERIAN SPECTRUM ON RINGS AND MODULES ⋮ Strongly Prime Submodules ⋮ Zariski Spaces of Modules over Arbitrary Rings ⋮ GENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES

Cites Work

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• Prime submodules of Noetherian modules
• Prime submodules, the descent invariant, and modules of finite length
• One dimensional domains which satisfy the radical formula are Dedekind domains
• Commutative rings with restricted minimum condition
• On the prime radical of a module over a commutative ring
• On dimensions of finitely generated modules
• On commutative Noetherian rings which satisfy the radical formula
• On radicals of submodules
• Spectra of modules

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