학술논문

A Study on Hyperatomic Ordered Semihyperrings.
Document Type
Article
Source
Symmetry (20738994). May2023, Vol. 15 Issue 5, p967. 11p.
Subject
*TOPOLOGY
Language
ISSN
2073-8994
Abstract
In this study, we analyze an operator R T of an ordered semihyperring T with symmetrical hyperoperation ⊕ and show relations with the L T operator of T. We define the set E R T (K) = { R T (K) : ∅ ≠ K ⊆ T } . We denote by τ R T (T) the topology generated by E R T (K) . We prove that if R T (0) = T , then (T , τ R T (T)) is connected. Some results relating to the hyperatomic ordered semihyperrings and the topology τ R T (T) are discussed. [ABSTRACT FROM AUTHOR]