New Results about Quadratic Functional Equation on Semigroups
Let S be a semigroup, let (H, +) be a uniquely 2-divisible, abelian group and let φ, ψ be two endomorphisms of S that need not be involutive. In this paper, we express the solutions f : S → H of the following quadratic functional equation f(xφ(y))+f(ψ(y)x)=2f(x)+2f(y), x,y∈S,f\left( {x\varphi \lef...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2024-11-01
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| Series: | Annales Mathematicae Silesianae |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amsil-2024-0023 |
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