A Note on the Connection between Ordered Semihyperrings

被引：10
|
作者：
Kou, Zheng [1 ]
Kosari, Saeed [1 ]
Monemrad, Mohammadsadegh [2 ]
Akhoundi, Maryam [3 ]
Omidi, Saber [4 ]
机构：
[1] Guangzhou Univ, Inst Comp Sci & Technol, Guangzhou 510006, Peoples R China
[2] Hamburg Univ Technol, Inst Math, D-21073 Hamburg, Germany
[3] Babol Univ Med Sci, Rouhani Hosp, Clin Res Dev Unit, Babol 4717647745, Iran
[4] Minist Educ Iran, Dept Educ Tehran, Tehran 1511943943, Iran
来源：
SYMMETRY-BASEL | 2021年 / 13卷 / 11期
关键词：
ordered semihyperring; Galois connection; homomorphism; derivation; REGULAR EQUIVALENCE-RELATIONS; DERIVATIONS;
D O I：
10.3390/sym13112035
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
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收藏
页数：9
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