Priestley Duality for Quasi-Stone Algebras
✍ Scribed by Hernando Gaitán
- Book ID
- 110222457
- Publisher
- Springer Netherlands
- Year
- 2000
- Tongue
- English
- Weight
- 283 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0039-3215
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Priestley's duality for bounded distributive lattices has enjoyed growing attention and has been variously applied in the international literature since its inception in 1970. Whereas its introduction in [10] acknowledged the priority of Stone's 1937 treatment, claiming for itself only a "simpler" "
## Abstract The purpose of this paper is to define and investigate the new class of quasi‐Stone algebras (QSA's). Among other things we characterize the class of simple QSA's and the class of subdirectly irreducible QSA's. It follows from this characterization that the subdirectly irreducible QSA's
## Abstract In this paper we shall introduce the variety __WQS__ of weak‐quasi‐Stone algebras as a generalization of the variety __QS__ of quasi‐Stone algebras introduced in [9]. We shall apply the Priestley duality developed in [4] for the variety __N__ of ¬‐lattices to give a duality for __WQS__.