A note on the connection between ordered semihyperrings

Publikationstyp
Journal Article
Date Issued
2021-11
Sprache
English
Author(s)
Kou, Zheng
Kosari, Saeed
Monemrad, Mohammadsadegh
Akhoundi, Maryam
Omidi, Saber
TORE-DOI
10.15480/882.3874
TORE-URI
http://hdl.handle.net/11420/10798
Journal
Symmetry
Volume
13
Issue
11
Article Number
2035
Citation
Symmetry 13 (11): 2035 (2021-11)
Publisher DOI
10.3390/sym13112035
Scopus ID
2-s2.0-85118510020
Publisher
Multidisciplinary Digital Publishing Institute (MDPI)
Peer Reviewed
true
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.
Subjects
ordered semihyperring
Galois connection
homomorphism
derivation
DDC Class
510: Mathematik
Lizenz
https://creativecommons.org/licenses/by/4.0/
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