(1) Faculté Jean Perrin, Université d'Artois, Rue Jean Souvraz, 62307 Lens, France;(2) Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warsaw, Poland
Abstract:
Let R be a ring, σ an injective endomorphism of R and δ a σ-derivation of R. We prove that if R is semiprime left Goldie then the same holds for the Ore extension Rx;σ,δ] and both rings have the same left uniform dimension.
Presented by S. Montgomery
Mathematics Subject Classification (2000) 16S90.
Jerzy Matczuk: Supported by the Flemish–Polish bilateral agreement BIL 01/31.