Subrings of polynomial rings and the conjectures of Eisenbud and Evans

DOI10.1016/j.jalgebra.2023.10.039arXiv2301.05001OpenAlexW4388980049MaRDI QIDQ6187301

Sourjya Banerjee

Publication date: 15 January 2024

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

Full work available at URL: https://arxiv.org/abs/2301.05001

zbMATH Keywords

cancellationbasic elementgeneralized dimension functionQuillen patching

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Stability for projective modules (19A13) Efficient generation of modules (19A15)

Cites Work

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• Euler class and complete intersections
• On efficient generation of ideals
• Basic elements and cancellation over Laurent polynomial rings
• Stability theorems for overrings of polynomial rings
• On the Forster-Eisenbud-Evans conjectures
• On two conjectures about polynomial rings
• On a conjecture of Murthy
• Stability theorems for overrings of polynomial rings. II
• Zero cycles and projective modules
• Generating modules efficiently: Theorems from algebraic K-theory
• Counterexamples to the Eisenbud–Goto regularity conjecture
• The Conjectures of Eisenbud and Evans
• Projective modules over polynomial rings

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