Author: Dietmar DorningerPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 328
Book Description
Contributions to General Algebra 6
Author: Dietmar DorningerPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 328
Book Description
Contributions to General Algebra
Author: Contributions to General Algebra 14
Author: Ivan ChajdaContributions to General Algebra 5
Author: Johannes CzermakPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 424
Book Description
Algebras and Orders
Author: Ivo G. RosenbergPublisher: Springer Science & Business Media
ISBN: 9401706972
Category : Mathematics
Languages : en
Pages : 565
Book Description
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.
Hyperidentities and Clones
Author: Klaus DeneckePublisher: CRC Press
ISBN: 9789056992354
Category : Mathematics
Languages : en
Pages : 334
Book Description
Theories and results on hyperidentities have been published in various areas of the literature over the last 18 years. Hyperidentities and Clones integrates these into a coherent framework for the first time. The author also includes some applications of hyperidentities to the functional completeness problem in multiple-valued logic and extends the general theory to partial algebras. The last chapter contains exercises and open problems with suggestions for future work in this area of research. Graduate students and mathematical researchers will find Hyperidentities and Clones a thought-provoking and illuminating text that offers a unique opportunity to study the topic in one source.
Contributions to General Algebra 9
Author: Günter PilzContributions to General Algebra 12
Author: Dietmar DorningerPublisher:
ISBN:
Category : Algebra
Languages : en
Pages : 452
Book Description
Universal Algebra and Coalgebra
Author: Klaus DeneckePublisher: World Scientific
ISBN: 9812837450
Category : Mathematics
Languages : en
Pages : 291
Book Description
The purpose of this book is to study the structures needed to model objects in universal algebra, universal coalgebra and theoretical computer science. Universal algebra is used to describe different kinds of algebraic structures, while coalgebras are used to model state-based machines in computer science.The connection between algebras and coalgebras provides a way to connect static data-oriented systems with dynamical behavior-oriented systems. Algebras are used to describe data types and coalgebras describe abstract systems or machines.The book presents a clear overview of the area, from which further study may proceed.
Topics in Polynomials of One and Several Variables and Their Applications
Author: Themistocles M. RassiasPublisher: World Scientific
ISBN: 9789810206147
Category : Mathematics
Languages : en
Pages : 658
Book Description
This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications. It is dedicated to P L Chebyshev, a leading Russian mathematician.