Author: Chengming Bai
Publisher: World Scientific
ISBN: 9814458333
Category : Mathematics
Languages : en
Pages : 318
Book Description
The book aims to exemplify the recent developments in operad theory, in universal algebra and related topics in algebraic topology and theoretical physics. The conference has established a better connection between mathematicians working on operads (mainly the French team) and mathematicians working in universal algebra (primarily the Chinese team), and to exchange problems, methods and techniques from these two subject areas.
Operads And Universal Algebra - Proceedings Of The International Conference
Author: Chengming Bai
Publisher: World Scientific
ISBN: 9814458333
Category : Mathematics
Languages : en
Pages : 318
Book Description
The book aims to exemplify the recent developments in operad theory, in universal algebra and related topics in algebraic topology and theoretical physics. The conference has established a better connection between mathematicians working on operads (mainly the French team) and mathematicians working in universal algebra (primarily the Chinese team), and to exchange problems, methods and techniques from these two subject areas.
Publisher: World Scientific
ISBN: 9814458333
Category : Mathematics
Languages : en
Pages : 318
Book Description
The book aims to exemplify the recent developments in operad theory, in universal algebra and related topics in algebraic topology and theoretical physics. The conference has established a better connection between mathematicians working on operads (mainly the French team) and mathematicians working in universal algebra (primarily the Chinese team), and to exchange problems, methods and techniques from these two subject areas.
Proceedings of the International Conference on Algebra Dedicated to the Memory of A. I. Mal$'$cev
Author: Leonid A. Bokut'
Publisher: American Mathematical Soc.
ISBN: 0821851381
Category : Algebra
Languages : en
Pages : 696
Book Description
Publisher: American Mathematical Soc.
ISBN: 0821851381
Category : Algebra
Languages : en
Pages : 696
Book Description
Universal Algebra
Author: George Grätzer
Publisher: Springer Science & Business Media
ISBN: 0387774874
Category : Mathematics
Languages : en
Pages : 601
Book Description
Universal Algebra has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices (with contributions from B. Jónsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well selected additional bibliography of over 1250 papers and books which makes this an indispensable new edition for students, faculty, and workers in the field.
Publisher: Springer Science & Business Media
ISBN: 0387774874
Category : Mathematics
Languages : en
Pages : 601
Book Description
Universal Algebra has become the most authoritative, consistently relied on text in a field with applications in other branches of algebra and other fields such as combinatorics, geometry, and computer science. Each chapter is followed by an extensive list of exercises and problems. The "state of the art" account also includes new appendices (with contributions from B. Jónsson, R. Quackenbush, W. Taylor, and G. Wenzel) and a well selected additional bibliography of over 1250 papers and books which makes this an indispensable new edition for students, faculty, and workers in the field.
A Course in Universal Algebra
Author: S. Burris
Publisher: Springer
ISBN: 9781461381327
Category : Mathematics
Languages : en
Pages : 276
Book Description
Universal algebra has enjoyed a particularly explosive growth in the last twenty years, and a student entering the subject now will find a bewildering amount of material to digest. This text is not intended to be encyclopedic; rather, a few themes central to universal algebra have been developed sufficiently to bring the reader to the brink of current research. The choice of topics most certainly reflects the authors' interests. Chapter I contains a brief but substantial introduction to lattices, and to the close connection between complete lattices and closure operators. In particular, everything necessary for the subsequent study of congruence lattices is included. Chapter II develops the most general and fundamental notions of uni versal algebra-these include the results that apply to all types of algebras, such as the homomorphism and isomorphism theorems. Free algebras are discussed in great detail-we use them to derive the existence of simple algebras, the rules of equational logic, and the important Mal'cev conditions. We introduce the notion of classifying a variety by properties of (the lattices of) congruences on members of the variety. Also, the center of an algebra is defined and used to characterize modules (up to polynomial equivalence). In Chapter III we show how neatly two famous results-the refutation of Euler's conjecture on orthogonal Latin squares and Kleene's character ization of languages accepted by finite automata-can be presented using universal algebra. We predict that such "applied universal algebra" will become much more prominent.
Publisher: Springer
ISBN: 9781461381327
Category : Mathematics
Languages : en
Pages : 276
Book Description
Universal algebra has enjoyed a particularly explosive growth in the last twenty years, and a student entering the subject now will find a bewildering amount of material to digest. This text is not intended to be encyclopedic; rather, a few themes central to universal algebra have been developed sufficiently to bring the reader to the brink of current research. The choice of topics most certainly reflects the authors' interests. Chapter I contains a brief but substantial introduction to lattices, and to the close connection between complete lattices and closure operators. In particular, everything necessary for the subsequent study of congruence lattices is included. Chapter II develops the most general and fundamental notions of uni versal algebra-these include the results that apply to all types of algebras, such as the homomorphism and isomorphism theorems. Free algebras are discussed in great detail-we use them to derive the existence of simple algebras, the rules of equational logic, and the important Mal'cev conditions. We introduce the notion of classifying a variety by properties of (the lattices of) congruences on members of the variety. Also, the center of an algebra is defined and used to characterize modules (up to polynomial equivalence). In Chapter III we show how neatly two famous results-the refutation of Euler's conjecture on orthogonal Latin squares and Kleene's character ization of languages accepted by finite automata-can be presented using universal algebra. We predict that such "applied universal algebra" will become much more prominent.
Index of Conference Proceedings
Author: British Library. Document Supply Centre
Publisher:
ISBN:
Category : Conference proceedings
Languages : en
Pages : 960
Book Description
Publisher:
ISBN:
Category : Conference proceedings
Languages : en
Pages : 960
Book Description
Words, Languages And Combinatorics - Proceedings Of The International Conference
Author: Masami Ito
Publisher: World Scientific
ISBN: 9814556289
Category :
Languages : en
Pages : 610
Book Description
The topics included in this proceedings cover both mathematics and computer science. They include Codes, Free Monoids, Transformation Semigroups, Automata, Formal Languages, Word Problems, Orders and Combinatorics. Attention is paid to the algebraic theories of codes and rewriting systems, which are the key subjects that combine these two fields. The number of papers in the proceedings exceeds 45 and all papers have been refereed.
Publisher: World Scientific
ISBN: 9814556289
Category :
Languages : en
Pages : 610
Book Description
The topics included in this proceedings cover both mathematics and computer science. They include Codes, Free Monoids, Transformation Semigroups, Automata, Formal Languages, Word Problems, Orders and Combinatorics. Attention is paid to the algebraic theories of codes and rewriting systems, which are the key subjects that combine these two fields. The number of papers in the proceedings exceeds 45 and all papers have been refereed.
Janusz Czelakowski on Logical Consequence
Author: Jacek Malinowski
Publisher: Springer Nature
ISBN: 3031444906
Category :
Languages : en
Pages : 473
Book Description
Publisher: Springer Nature
ISBN: 3031444906
Category :
Languages : en
Pages : 473
Book Description
Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science
Author: Janusz Czelakowski
Publisher: Springer
ISBN: 331974772X
Category : Philosophy
Languages : en
Pages : 476
Book Description
This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life. It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.
Publisher: Springer
ISBN: 331974772X
Category : Philosophy
Languages : en
Pages : 476
Book Description
This book celebrates the work of Don Pigozzi on the occasion of his 80th birthday. In addition to articles written by leading specialists and his disciples, it presents Pigozzi’s scientific output and discusses his impact on the development of science. The book both catalogues his works and offers an extensive profile of Pigozzi as a person, sketching the most important events, not only related to his scientific activity, but also from his personal life. It reflects Pigozzi's contribution to the rise and development of areas such as abstract algebraic logic (AAL), universal algebra and computer science, and introduces new scientific results. Some of the papers also present chronologically ordered facts relating to the development of the disciplines he contributed to, especially abstract algebraic logic. The book offers valuable source material for historians of science, especially those interested in history of mathematics and logic.
Automated Deduction – CADE-20
Author: Robert Nieuwenhuis
Publisher: Springer
ISBN: 354031864X
Category : Computers
Languages : en
Pages : 470
Book Description
This volume contains the proceedings of the 20th International Conference on Automated Deduction (CADE-20). It was held July 22–27, 2005 in Tallinn, Estonia...
Publisher: Springer
ISBN: 354031864X
Category : Computers
Languages : en
Pages : 470
Book Description
This volume contains the proceedings of the 20th International Conference on Automated Deduction (CADE-20). It was held July 22–27, 2005 in Tallinn, Estonia...
Topological Duality for Distributive Lattices
Author: Mai Gehrke
Publisher: Cambridge University Press
ISBN: 1009349694
Category : Computers
Languages : en
Pages : 369
Book Description
Introducing Stone-Priestley duality theory and its applications to logic and theoretical computer science, this book equips graduate students and researchers with the theoretical background necessary for reading and understanding current research in the area. After giving a thorough introduction to the algebraic, topological, logical, and categorical aspects of the theory, the book covers two advanced applications in computer science, namely in domain theory and automata theory. These topics are at the forefront of active research seeking to unify semantic methods with more algorithmic topics in finite model theory. Frequent exercises punctuate the text, with hints and references provided.
Publisher: Cambridge University Press
ISBN: 1009349694
Category : Computers
Languages : en
Pages : 369
Book Description
Introducing Stone-Priestley duality theory and its applications to logic and theoretical computer science, this book equips graduate students and researchers with the theoretical background necessary for reading and understanding current research in the area. After giving a thorough introduction to the algebraic, topological, logical, and categorical aspects of the theory, the book covers two advanced applications in computer science, namely in domain theory and automata theory. These topics are at the forefront of active research seeking to unify semantic methods with more algorithmic topics in finite model theory. Frequent exercises punctuate the text, with hints and references provided.