Geodesic
Periodic and Nil Polynomials in Rings
Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 473-476

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

Let R be an associative ring and f(x1,..., xd) a polynomial in noncommuting variables. We say that f is periodic or nil in R if for all r1,..., rd ∈ R we have that f(r1,..., rd) is periodic, respectively nilpotent (recall that a ∈ R is periodic if for some integer ). 
Felzenszwalb, Bernardo; Giambruno, Antonino. Periodic and Nil Polynomials in Rings. Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 473-476. doi: 10.4153/CMB-1980-072-5
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