Systems of Inequalities Characterizing Ring Homomorphisms
Assume that T:P→R and U:P→R are arbitrary mappings between two partially ordered rings P and R. We study a few systems of functional inequalities which characterize ring homomorphisms. For example, we prove that if T and U satisfy T(f+g)≥T(f)+T(g), U(f·g)≥U(f)·U(g), for all f,g∈P and T≥U, then U=T...
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Main Authors: | Włodzimierz Fechner, Andrzej Olbryś |
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Format: | Article |
Language: | English |
Published: |
Wiley
2016-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2016/8069104 |
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