On finitely generated module whose first nonzero Fitting ideal is prime

DOI10.1007/S41980-019-00351-YzbMath1455.13016OpenAlexW3006127472MaRDI QIDQ826577

Somayeh Hadjirezaei

Publication date: 5 January 2021

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-019-00351-y

zbMATH Keywords

prime idealFitting idealsregular elementtorsion submodule

Mathematics Subject Classification ID

Structure, classification theorems for modules and ideals in commutative rings (13C05) Torsion modules and ideals in commutative rings (13C12)

Cites Work

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• Fitting ideals for finitely presented algebraic dynamical systems
• 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
• Fitting ideals and finite projective dimension
• On the First Nonzero Fitting Ideal of a Module Over a UFD
• On the Jacobian Ideal of the Module of Differentials
• Modules with chain conditions up to isomorphism

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