Algebras and Orders

Ivo G. Rosenberg, Gert Sabidussi (Herausgeber)

Buch | Softcover

558 Seiten

2010 | Softcover reprint of hardcover 1st ed. 1993
Springer (Verlag)
978-90-481-4243-9 (ISBN)

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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.

Partial algebras — an introductory survey.- Duality theory on ten dollars a day.- Algebraic ordered sets and their generalizations.- A Boolean formalization of predicate calculus.- Lectures on free lattices.- A survey of Boolean algebras with operators.- Essentially minimal groupoids.- Functional and affine completeness and arithmetical varieties.- Reading, drawing, and order.- Hyperidentities.- Abstract clone theory.- Now Alouette Knows It All.

Erscheint lt. Verlag	7.12.2010
Reihe/Serie	NATO Science Series C ; 389
Zusatzinfo	XVIII, 558 p.
Verlagsort	Dordrecht
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	90-481-4243-1 / 9048142431
ISBN-13	978-90-481-4243-9 / 9789048142439
Zustand	Neuware