Systems of Inequalities Characterizing Ring Homomorphisms
Joint Authors
Fechner, Włodzimierz
Olbryś, Andrzej
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-17
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Fechner, Włodzimierz& Olbryś, Andrzej. 2016. Systems of Inequalities Characterizing Ring Homomorphisms. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1108649
Modern Language Association (MLA)
Fechner, Włodzimierz& Olbryś, Andrzej. Systems of Inequalities Characterizing Ring Homomorphisms. Journal of Function Spaces No. 2016 (2016), pp.1-5.
https://search.emarefa.net/detail/BIM-1108649
American Medical Association (AMA)
Fechner, Włodzimierz& Olbryś, Andrzej. Systems of Inequalities Characterizing Ring Homomorphisms. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1108649
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108649