De Morgan Algebras with a Quasi-Stone Operator

Studia Logica 103 (1):75-90 (2015)
Abstract
We investigate the class of those algebras in which is a de Morgan algebra, is a quasi-Stone algebra, and the operations \ and \ are linked by the identity x**º = x*º*. We show that such an algebra is subdirectly irreducible if and only if its congruence lattice is either a 2-element chain or a 3-element chain. In particular, there are precisely eight non-isomorphic subdirectly irreducible Stone de Morgan algebras
Keywords De Morgan algebra  Quasi-Stone algebra  QSM-algebra  Subdirectly irreducible
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DOI 10.1007/s11225-013-9538-8
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References found in this work BETA

Classical Modal De Morgan Algebras.Sergio A. Celani - 2011 - Studia Logica 98 (1-2):251-266.
Quasi‐Stone Algebras.Nalinaxi H. Sankappanavar & Hanamantagouda P. Sankappanavar - 1993 - Mathematical Logic Quarterly 39 (1):255-268.

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