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Algebras and Orders Neudorf this essay is going toIn the summer of 1991 the Department of Mathematics and Statistics of the Universite de Montreal was fortunate to host the NATO Advanced Study Institute "Algebras and Orders" as its 30th Seminaire de mathematiques superieures (SMS), a summer school with a long tradition and well established reputation. This book contains the contributions of the invited speakers. Universal algebra which established itself only in the 1930's grew from traditional