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

Autor: Bhaumik, Chandan, Sarwar, Husney Parvez
Rok vydání: 2023
Předmět:
Zdroj: Proc. Indian Acad. Sci. Math. Sci. 133(47) 2023
Druh dokumentu: Working Paper
DOI: 10.1007/s12044-023-00768-w
Popis: Let $A$ be a symbolic (or an extended symbolic) Rees algebra (need not be Noetherian) of dimension $d$. Let $P$ be a finitely generated projective $A$-module of rank $\geq$ $d$. Then P has a unimodular element. This improves the classical result of Serre for the mentioned class of algebras.
Databáze: arXiv