On projective modules and computation of dimension of a module over Laurent polynomial ring

DOI10.5402/2011/926165zbMath1226.13010OpenAlexW2067880489MaRDI QIDQ555248

Ratnesh Kumar Mishra, Shiv Datt Kumar, Srinivas Behara

Publication date: 22 July 2011

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

Full work available at URL: https://doi.org/10.5402/2011/926165

zbMATH Keywords

projective modulesdimensionLaurent polynomial

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Formal power series rings (13F25)

Uses Software

• SINGULAR

Cites Work

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• Codimension and multiplicity
• Two examples of the Bass-Quillen-Suslin conjectures
• A cancellation theorem for projective modules in the metastable range
• Bases for projective modules in \(A_n(k)\).
• A Remark on Horrocks' Theorem About Projective A[ T -Modules]
• Homological Dimension in Local Rings
• About Direct Summands of Projective Modules Over Laurent Polynomial Rings
• SINGULAR
• Projective Modules Over an Extension of a Local Ring