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A note on additive mappings in noncommutative fields

Published online by Cambridge University Press:  17 April 2009

J. Vukman
Affiliation:
University of MariborVEKŠRazlagova 1462000 Maribor, Yugoslavia
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In this paper we prove a result concerning the Cauchy functional equation, that is the functional equation f(x + y) = f(x) + f(y), in skew fields with characteristic not two.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1987

References

[1]Herstein, I.N., Rings with involution, (University of Chicago Press, 1976).Google Scholar
[2]Kurepa, S., “The Cauchy functional equation and scalar product in vector spaces”, Glas. Mat.-Fiz. Astr. 19 (1964), 2336.Google Scholar