Existence of unimodular element in a projective module over symbolic Rees algebras

DOI10.1007/s12044-023-00768-warXiv2301.05394OpenAlexW4389832702MaRDI QIDQ6182350

Chandan Bhaumik, Husney Parvez Sarwar

Publication date: 25 January 2024

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.05394

zbMATH Keywords

projective modulessymbolic Rees algebraunimodular element

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Stability for projective modules (19A13)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a problem of Zariski
• Some theorems about projective modules over polynomial rings
• \(K_0\)-stability over monoid algebras
• On the existence of unimodular elements and cancellation of projective modules over noetherian and non-noetherian rings
• Basic elements and cancellation over Laurent polynomial rings
• Generating non-Noetherian modules efficiently
• The Bass-Murthy question: Serre dimension of Laurent polynomial extensions
• On Jaffard domains
• Application of patching diagrams to some questions about projective modules
• Determinantal rings
• Stability results for projective modules over Rees algebras
• Stability theorems for overrings of polynomial rings. II
• Zero cycles and projective modules
• On Serre dimension of monoid algebras and Segre extensions
• Murthy's conjecture on 0-cycles
• Serre dimension of monoid algebras
• Some Results about Projective Modules over Monoid Algebras
• The Conjectures of Eisenbud and Evans
• A Prime Ideal in a Polynomial Ring Whose Symbolic Blow-up is Not Noetherian

This page was built for publication: Existence of unimodular element in a projective module over symbolic Rees algebras