L’introduction de l’algèbre moderne en Italie. (Introduction of modern algebra in Italy). (French) Zbl 0663.01007

Brigaglia, Aldo

Cah. Sémin. Hist. Math. 10, 323-349 (1989).

Studies on algebra and theory of numbers - issued between 1920-1923 [i.e. M. Cipolla, Teoria dei gruppi d’ordine finito e sue applicazione; G. Scorza, Corpi numerici ed algebre (1921); L. Bianchi, Lezioni sulla teoria dei numeri algebrici, Darboux Bull., II. Ser. 44, 8- 16 (1920)] have placed Italian mathematics on a leading position in the world, especially in the domain of introducing axiomatic languages. The conference (delivered on March 23, 1988, within the Seminar of History of Mathematics) surveys the main mathematical concepts supporting the idea that the accomplishments of those years were not spontaneous; on the contrary, they have to be considered as top achievements in the domain of axiomatic algebra developed by the Italian school of algebraic geometry, whose climax is to be placed in the last but one decade of the XIXth century.

Reviewer: C. Cusmir

MSC:

01A55	History of mathematics in the 19th century
01A60	History of mathematics in the 20th century
01A72	Schools of mathematics

Keywords:

algebra; theory of numbers; algebraic geometry; finite group; numeric body