摘要
In this paper,we study extended modules for a special class of Oreextensions.We will assume that R is a ring and A will denote the Ore extensionA:=R[X1,...,xn;σ]for whichσis an automorphism of R,xixj=xjxi and xir=σ(r)xi,for every 1<i,j≤n.With some extra conditions over the ring R,wewill prove Vaserstein's,Quillen's patching,Horrocks',and Quillen-Suslin's theoremsfor this type of non-commutative rings.
基金
the project New trends of non-commutative algebra and skew PBW extensions,HERMES CODE 26872,Universidad Nacional de Colombia
The authors are grateful tothe editors and the referee for valuable suggestions and corrections.
