A principal ideal theorem analogue for modules over commutative rings

DOI10.1080/00927879408824957zbMath0795.13001OpenAlexW2093055753MaRDI QIDQ4290596

R. L. McCasland, Seleena M. George, Patrick F. Smith

Publication date: 6 June 1994

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

Full work available at URL: https://doi.org/10.1080/00927879408824957

zbMATH Keywords

minimal prime submoduleprincipal ideal theorem

Mathematics Subject Classification ID

Principal ideal rings (13F10) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items (19)

Strongly Prime Submodules, G-Submodules and Jacobson Modules ⋮ Prime submodules and flat modules ⋮ Radical formula and prime submodules ⋮ One dimensional domains which satisfy the radical formula are Dedekind domains ⋮ Chain conditions in modules with krull dimension ⋮ Modules with Noetherian Spectrum ⋮ Prime Submodules and a Sheaf on the Prime Spectra of Modules ⋮ A generalized principal ideal theorem for modules over a commutative ring ⋮ Height of prime and weakly prime submodules ⋮ Prime and primary submodules of certain modules ⋮ Strongly irreducible submodules of modules ⋮ Prime Modules and Submodules ⋮ A Brief Survey on Semiprime and Weakly Compressible Modules ⋮ On prime submodules and primary decomposition ⋮ Associated Prime Submodules of Finitely Generated Modules ⋮ A characterization of prime submodules ⋮ An introduction to Zariski spaces over Zariski topologies ⋮ Radicals of submodules of free modules ⋮ GENERALIZED PRINCIPAL IDEAL THEOREM FOR MODULES

Cites Work

• Unnamed Item
• Prime submodules of Noetherian modules
• Coherent mori domains and the principal ideal theorem
• Prime submodules
• Prime modules.
• On radicals of submodules

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