Work

Splitting criteria for projective modules over polynomial algebras

Year: 2025

Type: article

Abstract: This article investigates the splitting problem for finitely generated projective modules over affine algebras over algebraically closed fields and their polynomial extensions. We then address an open question due to M. Roitman on monic inversion principle for projective modules and prove it in the affirmative for finitely generated rings. For affine algebras over , we prove a monic inversion principle for ideals. We also exhibit some applications.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70369

Authors: Sourjya Banerjee, Mrinal Kanti Das

Institutions: Institute of Mathematical Sciences, Indian Statistical Institute

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4416744890

FWCI: 3.445

Cites: 25

Cited by: 1

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