Wedderburn’s pioneer work on the structure of simple algebras set the stage for deep investigations—often with an eye to application in algebraic number theory—in the theory of algebras. Much of the early research, following on the heels of that of Wedderburn, came in the work of Dickson. Then in the 1920’s and early 1930’s a very deep investigation of simple algebras was carried out culminating in a beautiful structure theory for division algebras over algebraic number fields. A large part of the results was developed in the hands of Albert, Artin, Brauer, Noether and many others.

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EP - 123 ET - 1 PB - Mathematical Association of America PY - 1994 SN - 9780883850398 SP - 89 T2 - Noncommutative Rings UR - http://www.jstor.org/stable/10.4169/j.ctt5hh9cw.7 VL - 15 Y2 - 2021/09/23/ ER -