Abstract. Weakly associative lattices, a generalization of lattices, led to the introduction of dual discriminator. For a further generalization, graph algebras (or weak lattices), the original term did not produce a ``suitable'' term for dual discriminator function. Our goal is to describe why the original term was applicable for weakly associative lattices, and we present a class of algebras where the original term yields the dual discriminator function.
AMS Subject Classification
(1991): 06B99, 08B99
Keyword(s):
varieties,
dual discriminator function,
generalizations of lattices,
directed graphs,
projective planes
Received February 6, 2003, and in final form April 16, 2006. (Registered under 5931/2009.)
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