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Algebras and Orders (Paperback, Softcover reprint of hardcover 1st ed. 1993)
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Algebras and Orders (Paperback, Softcover reprint of hardcover 1st ed. 1993)
Series: NATO Science Series C, 389
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In 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 algebra (e.g., groups, modules, rings and lattices) and
logic (e.g., propositional calculus, model theory and the theory of
relations). It started by extending results from these fields but
by now it is a well-established and dynamic discipline in its own
right. One of the objectives of the ASI was to cover a broad
spectrum of topics in this field, and to put in evidence the
natural links to, and interactions with, boolean algebra, lattice
theory, topology, graphs, relations, automata, theoretical computer
science and (partial) orders. The theory of orders is a relatively
young and vigorous discipline sharing certain topics as well as
many researchers and meetings with universal algebra and lattice
theory. W. Taylor surveyed the abstract clone theory which
formalizes the process of compos ing operations (i.e., the
formation of term operations) of an algebra as a special category
with countably many objects, and leading naturally to the
interpretation and equivalence of varieties."
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