Hostname: page-component-745bb68f8f-b6zl4 Total loading time: 0 Render date: 2025-01-08T08:51:07.871Z Has data issue: false hasContentIssue false
  • English
  • Français

A note on additive mappings in noncommutative fields

Published online by Cambridge University Press:  17 April 2009

J. Vukman
J. Vukman
Affiliation:
University of MariborVEKŠRazlagova 1462000 Maribor, Yugoslavia
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 3 , December 1987 , pp. 499 - 502
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), 23–36.Google Scholar