A Study on Hyperatomic Ordered Semihyperrings

被引：0

作者：

Guan, Hao ^{[1
,2
]}

Zahednejad, Behnam ^{[3
]}

Khan, Aysha ^{[4
]}

Akhoundi, Maryam ^{[5
]}

机构：

[1] Guangzhou Univ, Inst Comp Sci & Technol, Guangzhou 510006, Peoples R China

[2] Qiannan Normal Univ Nationalities, Sch Comp Sci Informat Technol, Duyun 558000, Peoples R China

[3] Guangzhou Univ, Inst Artificial Intelligence & Blockchain, Guangzhou 510006, Peoples R China

[4] Prince Sattam bin Abdulaziz Univ, Dept Math, Alkharj 11991, Saudi Arabia

[5] Babol Univ Med Sci, Clin Res Dev Unit Rouhani Hosp, Babol 4717647745, Iran

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 05期

关键词：

ordered semihyperring (OS); R-T operator; tau(RT)(T) topology; hyperatomic ordered semihyperring (HOS); HYPERIDEALS; DERIVATIONS;

D O I：

10.3390/sym15050967

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：

In this study, we analyze an operator R-T of an ordered semihyperring T with symmetrical hyperoperation circle plus and show relations with the L-T operator of T. We define the set epsilon(RT)(K) = {RT (K) circle divide not equal K subset of T }. We denote by tau R-T (T) the topology generated by epsilon(RT) (K). We prove that if R-T(0) = T, then (T, tau(RT) (T)) is connected. Some results relating to the hyperatomic ordered semihyperrings and the topology tau R-T (T) are discussed.

引用

页数：11

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