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On The Commutativity of J-Rings

Published online by Cambridge University Press:  20 November 2018

Jiang Luh*
Affiliation:
Wright State University, Dayton, Ohio
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A ring R is called a J-ring if there exists an integer n > 1 such that xn = x for every xR. The following beautiful theorem due to Jacobson (4, 5) is a generalization of Wedderburn's theorem, which asserts that every finite division ring must be a field.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1967

References

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6. Luh, J., On the structure of J-rings, Amer. Math. Monthly, 74 (1967), 164166.Google Scholar