http://hdl.handle.net/20.500.12128/3027
Tytuł: | Systems of Inequalities Characterizing Ring Homomorphisms |
Autor: | Fechner, Włodzimierz Olbryś, Andrzej |
Słowa kluczowe: | Ring Homomorphisms; Inequalities |
Data wydania: | 2016 |
Źródło: | Journal of Function Spaces, (2016), art. no. 8069104, s. 1-5 |
Abstrakt: | 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 is an element of P and T >= U, then U = T and thismapping is a ring homomorphism. Moreover, we find two other systems for which we obtain analogous assertions. |
URI: | http://hdl.handle.net/20.500.12128/3027 |
DOI: | 10.1155/2016/8069104 |
ISSN: | 2314-8896 |
Pojawia się w kolekcji: | Artykuły (WNŚiT) |
Plik | Opis | Rozmiar | Format | |
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Fechner_Systems_of_Inequalities_Characterizing_Ring_Homomorphisms.pdf | 2,05 MB | Adobe PDF | Przejrzyj / Otwórz |
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