1955/01/01 by S. A. Jennings · 114 citations
Engineering · Mathematics · #Algebra over a field #Class (philosophy) #Discrete mathematics #Element (criminal law) #Finite Group Theory Research #Finitely-generated abelian group #Group (periodic table) #Group ring #Ideal (ethics) #Mathematics #Nilpotent #Nilpotent group #Pure mathematics #Ring (chemistry) #Rings, Modules, and Algebras #Torsion (gastropod) #Unipotent #Zero (linguistics) #graph theory and CDMA systems
paper · pdf · doi:10.4153/cjm-1955-022-5
published in Canadian Journal of Mathematics 7, 169-187 (Cambridge University Press)
openalex publication_date 1955/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
Introduction. In this paper we study the (discrete) group ring Γ of a finitely generated torsion free nilpotent group over a field of characteristic zero. We show that if Δ is the ideal of Γ spanned by all elements of the form G − 1, where G ∈ , then and the only element belonging to Δ w for all w is the zero element (cf. (4.3) below).