Commutator Theory for Congruence Modular Varieties PDF Download
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Author: Ralph Freese
Publisher: CUP Archive
ISBN: 9780521348324
Category : Mathematics
Languages : en
Pages : 244
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Book Description
Author: Ralph Freese
Publisher: CUP Archive
ISBN: 9780521348324
Category : Mathematics
Languages : en
Pages : 244
Get Book
Book Description
Author: Ralph Freese
Publisher: Cambridge University Press
ISBN: 9780521348324
Category : Mathematics
Languages : en
Pages : 238
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Book Description
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
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.
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.
Author: Janusz Czelakowski
Publisher: Birkhäuser
ISBN: 3319212001
Category : Mathematics
Languages : en
Pages : 297
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Book Description
This monograph introduces and explores the notions of a commutator equation and the equationally-defined commutator from the perspective of abstract algebraic logic. An account of the commutator operation associated with equational deductive systems is presented, with an emphasis placed on logical aspects of the commutator for equational systems determined by quasivarieties of algebras. The author discusses the general properties of the equationally-defined commutator, various centralization relations for relative congruences, the additivity and correspondence properties of the equationally-defined commutator and its behavior in finitely generated quasivarieties. Presenting new and original research not yet considered in the mathematical literature, The Equationally-Defined Commutator will be of interest to professional algebraists and logicians, as well as graduate students and other researchers interested in problems of modern algebraic logic.
Author: Janusz Czelakowski
Publisher: Springer
ISBN: 331974772X
Category : Philosophy
Languages : en
Pages : 454
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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.
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.
Author: Clifford Bergman
Publisher: CRC Press
ISBN: 1439851301
Category : Computers
Languages : en
Pages : 323
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Book Description
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
Author: Alexander V. Mikhalev
Publisher: Springer Science & Business Media
ISBN: 9401732671
Category : Mathematics
Languages : en
Pages : 629
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Book Description
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.
