Gselmann, Eszter and Kiss, Gergely and Vincze, Csaba (2019) Characterization of field homomorphisms through Pexiderized functional equations. Journal of Difference Equations and Applications. ISSN 1023-6198 , eISSN: 1563-5120
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Abstract
The aim of this paper is to prove characterization theorems for field homomorphisms. More precisely, the main result investigates the following problem. Let n∈N be arbitrary, K a field and f1,…,fn:K→C additive functions. Suppose further that equation ∑i=1nfqii(xpi)=0(x∈K) is also satisfied. Then the functions f1,…,fn are linear combinations of field homomorphisms from K to C.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 03 Apr 2019 12:54 |
| Last Modified: | 03 Apr 2019 12:54 |
| URI: | http://real.mtak.hu/id/eprint/92453 |
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