Priestley Spaces, Quasi–hyperalgebraic Lattices and Smyth Powerdomains

We introduce the concept of quasi-hyperalgebraic lattice and prove that a complete lattice is a Priestley space with respect to the interval topology if and only if it is quasi-hyperalgebraic. Some characterizations of quasi-hyperalgebraic lattices are presented. We also prove that the Smyth powerdo...

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 22; no. 3; pp. 951 - 958
Main Authors Yang, Jin Bo, Luo, Mao Kang
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.05.2006
Subjects
Algebra
Studies
Theorems
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Summary:We introduce the concept of quasi-hyperalgebraic lattice and prove that a complete lattice is a Priestley space with respect to the interval topology if and only if it is quasi-hyperalgebraic. Some characterizations of quasi-hyperalgebraic lattices are presented. We also prove that the Smyth powerdomain of a quasi-hyperalgebraic lattice is hyperalgebraic.[PUBLICATION ABSTRACT]
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-005-0737-8