Geodesic
Finite Rings in Which 1 is a Sum of Two Non-P-Th Power Units
Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 94-103

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

Let R be a finite ring with 1 and let R* denote the group of units of R. Let p be a prime number. In this paper we consider the question of whether there exist a, b in R* such that a and b are non- p -th powers whose sum is 1. If such units a, b existing, we say that R is an N (p)-ring. Of course if p does not divide |R*|, the order of R*, then every element in R* is a pth power. 
Jacobson, David. Finite Rings in Which 1 is a Sum of Two Non-P-Th Power Units. Canadian journal of mathematics, Tome 28 (1976) no. 1, pp. 94-103. doi: 10.4153/CJM-1976-011-6
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