Kou, ZhengZhengKouKosari, SaeedSaeedKosariMonemrad, MohammadsadeghMohammadsadeghMonemradAkhoundi, MaryamMaryamAkhoundiOmidi, SaberSaberOmidi2021-11-052021-11-052021-11Symmetry 13 (11): 2035 (2021-11)http://hdl.handle.net/11420/10798The notion of ordered semihyperrings is a generalization of ordered semirings and a generalization of semihyperrings. In this paper, the Galois connection between ordered semihyperrings are studied in detail and various interesting results are obtained. A construction of an ordered semihyperring via a regular relation is given. Furthermore, we present the Galois connection between homomorphisms and derivations on an ordered semihyperring.The notion of ordered semihyperrings is a generalization of ordered semirings and a generalization of semihyperrings. In this paper, the Galois connection between ordered semihyperrings are studied in detail and various interesting results are obtained. A construction of an ordered semihyperring via a regular relation is given. Furthermore, we present the Galois connection between homomorphisms and derivations on an ordered semihyperring.en2073-8994202111MDPIhttps://creativecommons.org/licenses/by/4.0/ordered semihyperringGalois connectionhomomorphismderivationMathematikJournal Article2021-11-0510.15480/882.387410.3390/sym1311203510.15480/882.3874Other