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General Algebra And Ordered Sets

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General Algebra And Ordered Sets

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Author : Miroslav Ploščica
language : en
Publisher:
Release Date : 2003

General Algebra And Ordered Sets written by Miroslav Ploščica and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Ordered algebraic structures categories.

Algebras And Orders

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Author : Ivo G. Rosenberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Algebras And Orders written by Ivo G. Rosenberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

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.

General Algebra And Ordered Sets

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Author : Univerzita Palackého v Olomouci. Přírodovědecká fakulta. Katedra algebry a geometrie. Letní škola
language : en
Publisher:
Release Date : 1994

General Algebra And Ordered Sets written by Univerzita Palackého v Olomouci. Přírodovědecká fakulta. Katedra algebry a geometrie. Letní škola and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Algebra categories.

Theory Of Ordered Sets And General Algebra Abstracts Of Lectures Held At The Summer Session Department Of Mathematics Faculty Of Science Je Purkyne University In Brno Comenius University Bratislava Technical College In Kosice

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Author :
language : en
Publisher:
Release Date :

Theory Of Ordered Sets And General Algebra Abstracts Of Lectures Held At The Summer Session Department Of Mathematics Faculty Of Science Je Purkyne University In Brno Comenius University Bratislava Technical College In Kosice written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Ordered Sets

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Author : Bernd Schröder
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Ordered Sets written by Bernd Schröder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

An introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. The text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory course.

Summer Session On The Theory Of Ordered Sets And General Algebra

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Author :
language : de
Publisher:
Release Date : 1969

Summer Session On The Theory Of Ordered Sets And General Algebra written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Algebra categories.

Lectures In General Algebra

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Author : A. G. Kurosh
language : en
Publisher: Elsevier
Release Date : 2014-07-10

Lectures In General Algebra written by A. G. Kurosh and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-10 with Mathematics categories.

Lectures in General Algebra is a translation from the Russian and is based on lectures on specialized courses in general algebra at Moscow University. The book starts with the basics of algebra. The text briefly describes the theory of sets, binary relations, equivalence relations, partial ordering, minimum condition, and theorems equivalent to the axiom of choice. The text gives the definition of binary algebraic operation and the concepts of groups, groupoids, and semigroups. The book examines the parallelism between the theory of groups and the theory of rings; such examinations show the convenience of constructing a single theory from the results of group experiments and ring experiments which are known to follow simple corollaries. The text also presents algebraic structures that are not of binary nature. From this parallelism arise other concepts, such as that of the lattices, complete lattices, and modular lattices. The book then proves the Schmidt-Ore theorem, and also describes linear algebra, as well as the Birkhoff-Witt theorem on Lie algebras. The text also addresses ordered groups, the Archimedean groups and rings, and Albert's theorem on normed algebras. This book can prove useful for algebra students and for professors of algebra and advanced mathematicians.