Stability results for projective modules over Rees algebras

Ravi A. Rao; Husney Parvez Sarwar

doi:10.1016/j.jpaa.2018.02.031

paper

Stability results for projective modules over Rees algebras

arXiv:1803.03979 · doi:10.1016/j.jpaa.2018.02.031

Abstract

We provide a class of commutative Noetherian domains $R$ of dimension $d$ such that every finitely generated projective $R$ -module $P$ of rank $d$ splits off a free summand of rank one. On this class, we also show that $P$ is cancellative. At the end we give some applications to the number of generators of a module over the Rees algebras.

10 pages, to appear in JPAA