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.

引用

页码：6205 / 6210

页数：6

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