On the relation between torsion submodule and Fitting ideals

DOI10.1142/S0219498822501730zbMath1494.13013OpenAlexW3169128519MaRDI QIDQ5104137

Somayeh Hadjirezaei

Publication date: 9 September 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822501730

zbMATH Keywords

Fitting idealsregular elementtorsion submoduleLipman's lemma

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Other special types of modules and ideals in commutative rings (13C13) Torsion modules and ideals in commutative rings (13C12)

Cites Work

• Unnamed Item
• On the first nonzero Fitting ideal of a module
• What makes a complex exact?
• On the first nonzero Fitting ideal of a module over a UFD (II)
• On finitely generated module whose first nonzero fitting ideal is maximal
• On the First Nonzero Fitting Ideal of a Module Over a UFD
• Decomposition of finitely generated modules using Fitting ideals
• On the Jacobian Ideal of the Module of Differentials

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