Commutator Theory for Congruence Modular Varieties

Commutator Theory for Congruence Modular Varieties PDF Author: Ralph Freese
Publisher: CUP Archive
ISBN: 9780521348324
Category : Mathematics
Languages : en
Pages : 244

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Book Description

Commutator Theory for Congruence Modular Varieties

Commutator Theory for Congruence Modular Varieties PDF Author: Ralph Freese
Publisher: CUP Archive
ISBN: 9780521348324
Category : Mathematics
Languages : en
Pages : 244

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Book Description


Structural Theory of Automata, Semigroups, and Universal Algebra

Structural Theory of Automata, Semigroups, and Universal Algebra PDF Author: Valery B. Kudryavtsev
Publisher: Springer Science & Business Media
ISBN: 1402038178
Category : Mathematics
Languages : en
Pages : 448

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Book Description
Semigroups, Automata, Universal Algebra, Varieties

Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science

Don Pigozzi on Abstract Algebraic Logic, Universal Algebra, and Computer Science PDF Author: Janusz Czelakowski
Publisher: Springer
ISBN: 331974772X
Category : Philosophy
Languages : en
Pages : 476

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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.

Geometrical Methods in Congruence Modular Algebras

Geometrical Methods in Congruence Modular Algebras PDF Author: Heinz Peter Gumm
Publisher: American Mathematical Soc.
ISBN: 0821822861
Category : Algebra, Universal
Languages : en
Pages : 90

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Book Description
We develop a geometric approach to algebras in congruence modular varieties. The idea of coordination of lines in affine geometry finds an almost perfect analog in the coordination of algebras. The geometry is the congruence class geometry, i.e. the subspaces are the blocks of congruence relations.

The Shape of Congruence Lattices

The Shape of Congruence Lattices PDF Author: Keith Kearnes
Publisher: American Mathematical Soc.
ISBN: 0821883232
Category : Mathematics
Languages : en
Pages : 183

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Book Description
This monograph is concerned with the relationships between Maltsev conditions, commutator theories and the shapes of congruence lattices in varieties of algebras. The authors develop the theories of the strong commutator, the rectangular commutator, the strong rectangular commutator, as well as a solvability theory for the nonmodular TC commutator. They prove that a residually small variety that satisfies a congruence identity is congruence modular.

Algebras, Lattices, Varieties

Algebras, Lattices, Varieties PDF Author: Ralph S. Freese
Publisher: American Mathematical Society
ISBN: 1470467984
Category : Mathematics
Languages : en
Pages : 451

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Book Description
This book is the third of a three-volume set of books on the theory of algebras, a study that provides a consistent framework for understanding algebraic systems, including groups, rings, modules, semigroups and lattices. Volume I, first published in the 1980s, built the foundations of the theory and is considered to be a classic in this field. The long-awaited volumes II and III are now available. Taken together, the three volumes provide a comprehensive picture of the state of art in general algebra today, and serve as a valuable resource for anyone working in the general theory of algebraic systems or in related fields. The two new volumes are arranged around six themes first introduced in Volume I. Volume II covers the Classification of Varieties, Equational Logic, and Rudiments of Model Theory, and Volume III covers Finite Algebras and their Clones, Abstract Clone Theory, and the Commutator. These topics are presented in six chapters with independent expositions, but are linked by themes and motifs that run through all three volumes.

Geometric Group Theory: Volume 1

Geometric Group Theory: Volume 1 PDF Author: Graham A. Niblo
Publisher: Cambridge University Press
ISBN: 0521435293
Category : Mathematics
Languages : en
Pages : 226

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Book Description
For anyone whose interest lies in the interplay between groups and geometry, these books will be an essential addition to their library.

Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds

Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds PDF Author: Mark Pollicott
Publisher: Cambridge University Press
ISBN: 9780521435932
Category : Mathematics
Languages : en
Pages : 176

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Book Description
These lecture notes provide a unique introduction to Pesin theory and its applications.

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics PDF Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9401512337
Category : Mathematics
Languages : en
Pages : 543

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Book Description
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fme subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Ergodicity for Infinite Dimensional Systems

Ergodicity for Infinite Dimensional Systems PDF Author: Giuseppe Da Prato
Publisher: Cambridge University Press
ISBN: 0521579007
Category : Mathematics
Languages : en
Pages : 355

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Book Description
This is the only book on stochastic modelling of infinite dimensional dynamical systems.