1955/07/01 by P. M. Cohn · 1 citation
Chemistry · Mathematics · Medicine · #Advanced Topics in Algebra #Chemistry #Combinatorics #Finite Group Theory Research #Geometry #Group (periodic table) #Integer (computer science) #Lie group #Locally nilpotent #Mathematics #Nilpotent #Nilpotent group #Physics #Product (mathematics) #Pure mathematics #Ring (chemistry) #Synthesis of Organic Compounds
paper · doi:10.1017/s0305004100030395
openalex publication_date 1955/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21
Let L be a Lie ring and denote the product of x and y in L by [ x , y ]. The ring L is said to satisfy the Engel condition (cf. (1)), if for every pair of elements x, y ε L there is an integer k = k ( x , y )such that If k ( x , y ) can be taken equal to a fixed integer n for all x , y ε L then L is said to satisfy the n-th Engel condition .