Commutator Theory For Congruence Modular Varieties

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Commutator Theory For Congruence Modular Varieties

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Author : Ralph Freese
language : en
Publisher: CUP Archive
Release Date : 1987-08-20

Commutator Theory For Congruence Modular Varieties written by Ralph Freese and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-08-20 with Mathematics categories.

Commutator Theory For Congruence Modular Varieties

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Author : Ralph Freese
language : en
Publisher: Cambridge University Press
Release Date : 1987-08-20

Commutator Theory For Congruence Modular Varieties written by Ralph Freese and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-08-20 with Mathematics categories.

Structural Theory Of Automata Semigroups And Universal Algebra

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Author : Valery B. Kudryavtsev
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-18

Structural Theory Of Automata Semigroups And Universal Algebra written by Valery B. Kudryavtsev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-18 with Mathematics categories.

Several of the contributions to this volume bring forward many mutually beneficial interactions and connections between the three domains of the title. Developing them was the main purpose of the NATO ASI summerschool held in Montreal in 2003. Although some connections, for example between semigroups and automata, were known for a long time, developing them and surveying them in one volume is novel and hopefully stimulating for the future. Another aspect is the emphasis on the structural theory of automata that studies ways to contstruct big automata from small ones. The volume also has contributions on top current research or surveys in the three domains. One contribution even links clones of universal algebra with the computational complexity of computer science. Three contributions introduce the reader to research in the former East block.

Geometrical Methods In Congruence Modular Algebras

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Author : Heinz Peter Gumm
language : en
Publisher: American Mathematical Soc.
Release Date : 1983

Geometrical Methods In Congruence Modular Algebras written by Heinz Peter Gumm and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.

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.

Algebras Lattices Varieties

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Author : Ralph S. Freese
language : en
Publisher: American Mathematical Society
Release Date : 2022-11-03

Algebras Lattices Varieties written by Ralph S. Freese and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-03 with Mathematics categories.

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.

Galois Theory Hopf Algebras And Semiabelian Categories

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Author : George Janelidze, Bodo Pareigis, and Walter Tholen
language : en
Publisher: American Mathematical Soc.
Release Date :

Galois Theory Hopf Algebras And Semiabelian Categories written by George Janelidze, Bodo Pareigis, and Walter Tholen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

The Shape Of Congruence Lattices

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Author : Keith Kearnes
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-02-26

The Shape Of Congruence Lattices written by Keith Kearnes and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-26 with Mathematics categories.

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.

Groups Canberra 1989

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Author : L.G. Kovacs
language : en
Publisher: Springer
Release Date : 2006-12-08

Groups Canberra 1989 written by L.G. Kovacs and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.

Computational Complexity Of Solving Equation Systems

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Author : Przemysław Broniek
language : en
Publisher: Springer
Release Date : 2015-07-24

Computational Complexity Of Solving Equation Systems written by Przemysław Broniek and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-24 with Computers categories.

This volume considers the computational complexity of determining whether a system of equations over a fixed algebra A has a solution. It examines in detail the two problems this leads to: SysTermSat(A) and SysPolSat(A), in which equations are built out of terms or polynomials, respectively. The book characterizes those algebras for which SysPolSat can be solved in a polynomial time. So far, studies and their outcomes have not covered algebras that generate a variety admitting type 1 in the sense of Tame Congruence Theory. Since unary algebras admit only type 1, this book focuses on these algebras to tackle the main problem. It discusses several aspects of unary algebras and proves that the Constraint Satisfaction Problem for relational structures is polynomially equivalent to SysTermSat over unary algebras. The book’s final chapters discuss partial characterizations, present conclusions, and describe the problems that are still open.

New Perspectives In Algebra Topology And Categories

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Author : Maria Manuel Clementino
language : en
Publisher: Springer Nature
Release Date : 2021-10-16

New Perspectives In Algebra Topology And Categories written by Maria Manuel Clementino and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-16 with Mathematics categories.

This book provides an introduction to some key subjects in algebra and topology. It consists of comprehensive texts of some hours courses on the preliminaries for several advanced theories in (categorical) algebra and topology. Often, this kind of presentations is not so easy to find in the literature, where one begins articles by assuming a lot of knowledge in the field. This volume can both help young researchers to quickly get into the subject by offering a kind of « roadmap » and also help master students to be aware of the basics of other research directions in these fields before deciding to specialize in one of them. Furthermore, it can be used by established researchers who need a particular result for their own research and do not want to go through several research papers in order to understand a single proof. Although the chapters can be read as « self-contained » chapters, the authors have tried to coordinate the texts in order to make them complementary. The seven chapters of this volume correspond to the seven courses taught in two Summer Schools that took place in Louvain-la-Neuve in the frame of the project Fonds d’Appui à l’Internationalisation of the Université catholique de Louvain to strengthen the collaborations with the universities of Coimbra, Padova and Poitiers, within the Coimbra Group.