TY - JOUR
A2 - Wu, Shanhe
AU - Fechner, Włodzimierz
AU - Olbryś, Andrzej
PY - 2016
DA - 2016/11/17
TI - Systems of Inequalities Characterizing Ring Homomorphisms
SP - 8069104
VL - 2016
AB - 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 and this mapping is a ring homomorphism. Moreover, we find two other systems for which we obtain analogous assertions.
SN - 2314-8896
UR - https://doi.org/10.1155/2016/8069104
DO - 10.1155/2016/8069104
JF - Journal of Function Spaces
PB - Hindawi Publishing Corporation
KW -
ER -