Continuous Prequantale Models of T1 Topological Semigroups | Zendy

Hui Li | Zendy; Xiangnan Zhou | Zendy; Qingguo Li | Zendy

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Continuous Prequantale Models of T1 Topological Semigroups

Author(s) -

Hui Li,

Xiangnan Zhou,

Qingguo Li

Publication year - 2019

Publication title -

electronic notes in theoretical computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.242

H-Index - 60

ISSN - 1571-0661

DOI - 10.1016/j.entcs.2019.07.019

Subject(s) - semigroup , mathematics , bounded function , cancellative semigroup , topological space , topology (electrical circuits) , domain (mathematical analysis) , topological ring , bicyclic semigroup , topological algebra , pure mathematics , topological vector space , mathematical analysis , combinatorics

In this paper, we show that every T 1 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 T 1 topological semigroup satisfying condition (Δ) has a continuous prequantale model, which may not be bounded complete.

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