Thanks for your translation. I have a question about the paragraph 0.1.1.2 because le radical R(A) is translated as the nilradical N(A).
Rappelons que le radical R(A) d'un anneau A (non nécessairement commutatif) est l'intersection des idéaux à gauche maximaux de A (et aussi l'intersection des idéaux à droite maximaux). Le radical de A/R(A) est (0).
According to nLab, this is not the nilradical but the (Jacobson) radical. If I misunderstand your intention, don't care about this issue.
Thanks for your translation. I have a question about the paragraph 0.1.1.2 because le radical R(A) is translated as the nilradical N(A).
According to nLab, this is not the nilradical but the (Jacobson) radical. If I misunderstand your intention, don't care about this issue.