ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 67,   2   (1998)
pp.   249-271

OPTIMAL NATURAL DUALITIES FOR SOME QUASIVARIETIES OF DISTRIBUTIVE DOUBLE $p$-ALGEBRAS
M. J. SARAMAGO


Abstract.  Quasivarieties of distributive double $p$-algebras generated by an ordinal sum $nderline M$ of two Boolean lattices are considered. Globally minimal failsets within $\Bbb S(nderline M^2)$ are completely determined; from them all the optimal dualities for these quasivarieties are obtained.

AMS subject classification.  06D15, 08C15
Keywords.  Distributive double $p$-algebra, failset, natural duality, optimal\break duality

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