Geodesic
Grothendieck groups of twisted free associative algebras
Glasgow mathematical journal, Tome 18 (1977) no. 2, pp. 193-196

Voir la notice de l'article provenant de la source Cambridge University Press

Let R be an associative ring with identity, X a set of noncommuting variables, = {αx} x ∈ X a set of automorphisms αx of R and R {X} the -twisted free associative algebra on X over R. Let Y be another set of noncommuting variables, B = {βy}y∈Y a set of automorphisms βy of R {X} and S = (R{X})B {Y} the B-twisted free associative algebra on Y over R{X}. Next, let X1 be a set of noncommuting variables, for each l = 1,2,.... We form the free associative algebra S1 = S{X1}on Xl over S and inductively, we form the free associative algebra Sl+1 = Sl{Xl+1} on Xl+1 over Sl, l = 1,2,.... 
Choo, Koo-Guan. Grothendieck groups of twisted free associative algebras. Glasgow mathematical journal, Tome 18 (1977) no. 2, pp. 193-196. doi: 10.1017/S0017089500003268
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