ScholarLens Back to search
2019•Electronic Notes in Theoretical Computer ScienceOpen access

Continuous Prequantale Models of T1 Topological Semigroups

Hui Li, Xiangnan Zhou, Qingguo Li

Open full text 0 citations

Abstract

In this paper, we show that every T1 topological semigroup satisfying condition (Δ) can be embedded into a topological semigroup (D,σ,⊙), where (D,⊑) is a domain. Furthermore, by considering the maximal point topological semigroup of a continuous prequantale, it is proven that every T1 topological semigroup satisfying condition (Δ) has a continuous prequantale model, which may not be bounded complete.

Open-access reader

About this research paper

What this paper is about

In this paper, we show that every T1 topological semigroup satisfying condition (Δ) can be embedded into a topological semigroup (D,σ,⊙), where (D,⊑) is a domain. Furthermore, by considering the maximal point topological semigroup of a continuous prequantale, it is proven that every T1 topological semigroup satisfying condition (Δ) has a continuous prequantale model, which may not be bounded complete.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper, we show that every T1 topological semigroup satisfying condition (Δ) can be embedded into a topological semigroup (D,σ,⊙), where (D,⊑) is a domain. Furthermore, by considering the maximal point topological semigroup of a continuous prequantale, it is proven that every T1 topological semigroup satisfying condition (Δ) has a continuous prequantale model, which may not be bounded complete.

Key concepts: Semigroup, Mathematics, Bounded function, Cancellative semigroup, Topological space, Topology (electrical circuits), Domain (mathematical analysis), Topological ring

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Continuous Prequantale Models of T1 Topological Semigroups — Research Paper | ScholarLens