Topological Semigroups and their Prequantale Models

被引：1
|
作者：
Zhao, Bin [1 ]
Xia, Changchun [1 ]
Wang, Kaiyun [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
来源：
FILOMAT | 2017年 / 31卷 / 19期
基金：
中国国家自然科学基金;
关键词：
Topological semigroup; prequantale; Scott topology; prequantale model;
D O I：
10.2298/FIL1719205Z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a condition (Delta) on topological semigroups, and prove that every T-1 topological semigroup satisfying condition (Delta) has a bounded complete algebraic prequantale model. On the basis of this result, we also show that every T-0 topological semigroup satisfying condition (Delta) can be embedded into a compact and locally compact sober topological semigroup.
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页码：6205 / 6210
页数：6
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