## 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
✦ LIBER ✦
Varieties of quasi-Stone algebras
✍ Scribed by Hernando Gaitán
- Book ID
- 104307080
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 92 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0168-0072
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✦ Synopsis
In this note we give equational bases for varieties of quasi-Stone algebras.
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## 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__.
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