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From numbers to rings: The early history of ring theory. (English) Zbl 0908.16001
In this history of ring theory, going roughly from 1840 to 1940, the author lists the main stages: in the non-commutative theory they are hypercomplex systems and division algebras, while the commutative theory has the two large branches of algebraic number theory and algebraic geometry, with a brief mention of some of the methods to which they gave arise. There is no mention of more modern developments, nor of the many applications: representation theory, power series rings in probability theory, algebras in functional analysis etc.
MSC:
16-03Historical (associative rings and algebras)
01A55Mathematics in the 19th century
01A60Mathematics in the 20th century