Global lifting of projective modules modulo socles

【摘要】 <正> For any ideal I of a ring R, let S=R/I. In this note, we consider the following global lifting problem: For any projective S-module Q, does there exist a projective R-module P such that Q and P/IP are isomorphic as S-modules? The concept of global lifting was introduced in Wu’s paper and one of our goals there is to study the computation of K₀ groups. Thus in what follows, Q and P are sometimes assumed to be finitely generated in addition.更多还原