Quasi‐Stone algebras

Mathematical Logic Quarterly 39 (1):255-268 (1993)

Abstract
The purpose of this paper is to define and investigate the new class of quasi-Stone algebras . 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 form an elementary class and that the variety of QSA's is locally finite. Furthermore we prove that the lattice of subvarieties of QSA's is an -chain. MSC: 03G25, 06D16, 06E15
Keywords Pseudocomplemented lattice  Lattice of subvarities  Subdirectly irreducible algebra  Simple algebra  Quasi‐Stone algebra
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DOI 10.1002/malq.19930390130
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References found in this work BETA

Distributive Lattices.Raymond Balbes & Philip Dwinger - 1977 - Journal of Symbolic Logic 42 (4):587-588.

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Citations of this work BETA

Distributive Lattices with a Negation Operator.Sergio Arturo Celani - 1999 - Mathematical Logic Quarterly 45 (2):207-218.
Weak-Quasi-Stone Algebras.Sergio A. Celani & Leonardo M. Cabrer - 2009 - Mathematical Logic Quarterly 55 (3):288-298.
Weak‐Quasi‐Stone Algebras.Sergio A. Celani & Leonardo M. Cabrer - 2009 - Mathematical Logic Quarterly 55 (3):288-298.

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