Splitting criteria for projective modules over polynomial algebras
Article Type
Research Article
Publication Title
Journal of the London Mathematical Society
Abstract
This article investigates the splitting problem for finitely generated projective modules (Formula presented.) 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 (Formula presented.), we prove a monic inversion principle for ideals. We also exhibit some applications.
DOI
10.1112/jlms.70369
Publication Date
12-1-2025
Recommended Citation
Banerjee, Sourjya and Das, Mrinal Kanti, "Splitting criteria for projective modules over polynomial algebras" (2025). Journal Articles. 5601.
https://digitalcommons.isical.ac.in/journal-articles/5601