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Structural Theory of Automata, Semigroups, and Universal Algebra

Structural Theory of Automata, Semigroups, and Universal Algebra
Author: Valery B. Kudryavtsev
Publisher: Springer Science & Business Media
Total Pages: 448
Release: 2006-01-18
Genre: Mathematics
ISBN: 1402038178

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Semigroups, Automata, Universal Algebra, Varieties


Geometrical Methods in Congruence Modular Algebras

Geometrical Methods in Congruence Modular Algebras
Author: Heinz Peter Gumm
Publisher: American Mathematical Soc.
Total Pages: 90
Release: 1983
Genre: Algebra, Universal
ISBN: 0821822861

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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.


Handbook of Algebra

Handbook of Algebra
Author: M. Hazewinkel
Publisher: Elsevier
Total Pages: 899
Release: 2000-04-06
Genre: Mathematics
ISBN: 0080532969

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Handbook of Algebra


Universal Algebra

Universal Algebra
Author: Clifford Bergman
Publisher: CRC Press
Total Pages: 323
Release: 2011-09-20
Genre: Computers
ISBN: 1439851301

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Starting with the most basic notions, Universal Algebra: Fundamentals and Selected Topics introduces all the key elements needed to read and understand current research in this field. Based on the author's two-semester course, the text prepares students for research work by providing a solid grounding in the fundamental constructions and concepts o


The Concise Handbook of Algebra

The Concise Handbook of Algebra
Author: Alexander V. Mikhalev
Publisher: Springer Science & Business Media
Total Pages: 629
Release: 2013-06-29
Genre: Mathematics
ISBN: 9401732671

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It is by no means clear what comprises the "heart" or "core" of algebra, the part of algebra which every algebraist should know. Hence we feel that a book on "our heart" might be useful. We have tried to catch this heart in a collection of about 150 short sections, written by leading algebraists in these areas. These sections are organized in 9 chapters A, B, . . . , I. Of course, the selection is partly based on personal preferences, and we ask you for your understanding if some selections do not meet your taste (for unknown reasons, we only had problems in the chapter "Groups" to get enough articles in time). We hope that this book sets up a standard of what all algebraists are supposed to know in "their" chapters; interested people from other areas should be able to get a quick idea about the area. So the target group consists of anyone interested in algebra, from graduate students to established researchers, including those who want to obtain a quick overview or a better understanding of our selected topics. The prerequisites are something like the contents of standard textbooks on higher algebra. This book should also enable the reader to read the "big" Handbook (Hazewinkel 1999-) and other handbooks. In case of multiple authors, the authors are listed alphabetically; so their order has nothing to do with the amounts of their contributions.


Lattices, Semigroups, and Universal Algebra

Lattices, Semigroups, and Universal Algebra
Author: Jorge Almeida
Publisher: Springer Science & Business Media
Total Pages: 325
Release: 2013-11-11
Genre: Mathematics
ISBN: 1489926089

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This volume contains papers which, for the most part, are based on talks given at an international conference on Lattices, Semigroups, and Universal Algebra that was held in Lisbon, Portugal during the week of June 20-24, 1988. The conference was dedicated to the memory of Professor Antonio Almeida Costa, a Portuguese mathematician who greatly contributed to the development of th algebra in Portugal, on the 10 anniversary of his death. The themes of the conference reflect some of his research interests and those of his students. The purpose of the conference was to gather leading experts in Lattices, Semigroups, and Universal Algebra and to promote a discussion of recent developments and trends in these areas. All three fields have grown rapidly during the last few decades with varying degrees of interaction. Lattice theory and Universal Algebra have historically evolved alongside with a large overlap between the groups of researchers in the two fields. More recently, techniques and ideas of these theories have been used extensively in the theory of semigroups. Conversely, some developments in that area may inspire further developments in Universal Algebra. On the other hand, techniques of semi group theory have naturally been employed in the study of semilattices. Several papers in this volume elaborate on these interactions.


Boolean Constructions in Universal Algebras

Boolean Constructions in Universal Algebras
Author: A.G. Pinus
Publisher: Springer Science & Business Media
Total Pages: 357
Release: 2013-04-17
Genre: Mathematics
ISBN: 9401709386

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During the last few decades the ideas, methods, and results of the theory of Boolean algebras have played an increasing role in various branches of mathematics and cybernetics. This monograph is devoted to the fundamentals of the theory of Boolean constructions in universal algebra. Also considered are the problems of presenting different varieties of universal algebra with these constructions, and applications for investigating the spectra and skeletons of varieties of universal algebras. For researchers whose work involves universal algebra and logic.