ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 62,   2   (1993)
pp.   179-190

AFFINE COMPLETE ALGEBRAS ABSTRACTING KLEENE AND STONE ALGEBRAS
M. HAVIAR


Abstract.  Boolean algebras are affine complete by a well-known result of G. Gratzer. Various generalizations of this result have been obtained. Among them, a characterization of affine complete Stone algebras having a smallest dense element was given by R. Beazer. In this paper, generalizations of Beazer's result are presented for algebras abstracting simultaneously Kleene and Stone algebras.

AMS subject classification.  06D15, 06D30
Keywords.  (locally) affine complete algebra, compatible function, (principal) K$_2$-algebra

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