On Cauchy differences of all orders
Document Type
Article
Publication Date
8-1991
Department
Department of Mathematical Sciences
Abstract
This paper deals with the problem of characterizing higher order Cauchy differences of mappings on groups and semigroups. Symmetric, first order Cauchy differences f(x + y)-f(x)-f(y) for maps f between groups were characterized by Jessen, Karpf, and Thorup [8] through the use of first partial Cauchy differences. Our results are similar and extend their result to higher order differences. Our results also extend those of Heuvers [6] for mappings between vector spaces over the rationals.
Publication Title
Aequationes Mathematicae
Recommended Citation
Ebanks, B.,
Heuvers, K.,
&
Ng, C.
(1991).
On Cauchy differences of all orders.
Aequationes Mathematicae,
42(1), 137-153.
http://doi.org/10.1007/BF01818486
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/4329
Publisher's Statement
© 1991 Birkhäuser Verlag. Publisher’s version of record: https://doi.org/10.1007/BF01818486