Generalizing Serre’s Splitting Theorem and Bass’s Cancellation Theorem via free-basic elements
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- by Alessandro De Stefani, Thomas Polstra and Yongwei Yao PDF
- Proc. Amer. Math. Soc. 146 (2018), 1417-1430 Request permission
Abstract:
We give new proofs of two results of Stafford, which generalize two famous Theorems of Serre and Bass regarding projective modules. Our techniques are inspired by the theory of basic elements. Using these methods we further generalize Serre’s Splitting Theorem by imposing a condition to the splitting maps, which has an application to the case of Cartier algebras.References
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Additional Information
- Alessandro De Stefani
- Affiliation: Department of Mathematics, Royal Institute of Technology (KTH), Stockholm, 100 44, Sweden
- MR Author ID: 1053917
- Email: ads@kth.se
- Thomas Polstra
- Affiliation: Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri 65211
- Email: tmpxv3@mail.missouri.edu
- Yongwei Yao
- Affiliation: Department of Mathematics and Statistics, Georgia State University, 30 Pryor Street, Atlanta, Georgia 30303
- MR Author ID: 685921
- Email: yyao@gsu.edu
- Received by editor(s): September 20, 2016
- Received by editor(s) in revised form: March 30, 2017
- Published electronically: December 26, 2017
- Communicated by: Irena Peeva
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 1417-1430
- MSC (2010): Primary 13C10; Secondary 13D15
- DOI: https://doi.org/10.1090/proc/13754
- MathSciNet review: 3754329