Prime submodules and flat modules

DOI10.1007/s10114-005-0813-0zbMath1110.13007OpenAlexW1969929786MaRDI QIDQ856830

Abdulrasool Azizi

Publication date: 13 December 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0813-0

zbMATH Keywords

free moduleprime submoduleflat moduleheight of a prime submodule

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Other special types of modules and ideals in commutative rings (13C13) Injective and flat modules and ideals in commutative rings (13C11)

Related Items

The Nakayama Property of a Module and Related Concepts ⋮ A new topology over the primary-like spectrum of a module ⋮ Zariski topology on the spectrum of fuzzy classical primary submodules ⋮ Radical formula and prime submodules ⋮ \(n\)-almost prime submodules ⋮ A closure operation on submodules ⋮ On the Zariski topology over the primary-like spectrum ⋮ Weakly $2$-absorbing submodules of modules ⋮ Height of prime and weakly prime submodules ⋮ ON GENERALIZATION OF NAKAYAMA'S LEMMA ⋮ Principal Ideal Multiplication Modules ⋮ Unnamed Item ⋮ RADICAL FORMULA AND WEAKLY PRIME SUBMODULES

Cites Work

• Prime submodules, the descent invariant, and modules of finite length
• Intersection of prime submodules and dimension of modules
• Weak Multiplication Modules
• Prime submodules
• A principal ideal theorem analogue for modules over commutative rings
• Spectra of modules
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