Download or read book Refinement Monoids Equidecomposability Types and Boolean Inverse Semigroups written by Friedrich Wehrung and published by Springer. This book was released on 2017-09-09 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups, called the type monoid. The new techniques contrast with the currently available topological approaches. Many positive results, but also many counterexamples, are provided.
Download or read book Semigroups Categories and Partial Algebras written by P. G. Romeo and published by Springer Nature. This book was released on 2021-03-26 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of selected papers presented at the International Conference on Semigroups and Applications, held at the Cochin University of Science and Technology, India, from December 9–12, 2019. This book discusses the recent developments in semigroups theory, category theory and the applications of these in various areas of research, including structure theory of semigroups, lattices, rings and partial algebras. This book presents chapters on ordering orders and quotient rings, block groups and Hall’s relations, quotients of the Booleanization of inverse semigroup, Markov chains through semigroup graph expansions, polycyclic inverse monoids and Thompson group, balanced category and bundle category. This book will be of much value to researchers working in areas of semigroup and operator theory.
Download or read book Operator Theory Functional Analysis and Applications written by M. Amélia Bastos and published by Springer Nature. This book was released on 2021-03-31 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional Analysis. The topics range from C*–algebras and Banach *–algebras, Sturm-Liouville theory, integrable systems, dilation theory, frame theory, Toeplitz, Hankel, and singular integral operators, to questions from lattice, group and matrix theories, complex analysis, harmonic analysis, and function spaces. Given its scope, the book is chiefly intended for researchers and graduate students in the areas of Operator Theory, Functional Analysis, their applications and adjacent fields.
Download or read book Recent Trends in Algebraic Development Techniques written by José Luiz Fiadeiro and published by Springer. This book was released on 2019-06-25 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 24th IFIP WG 1.3 International Workshop on Algebraic Development Techniques, WADT 2018, held in Egham, UK in July 2018. The 9 revised papers presented were carefully reviewed and selected from 13 submissions. The contributed presentations covered a range of topics: specification and modelling languages such as CASL, Event-B, Maude, MMT, and SRML; foundations of system specification such as graph transformation, categorical semantics, fuzzy and temporal logics, institutions, module systems and parameterization, refinement, static analysis, and substitutions; and applications including categorical programming, communicating finite state machines, neuralsymbolicintegration, relational databases, and service-oriented computing.
Download or read book Inverse Semigroups The Theory Of Partial Symmetries written by Mark V Lawson and published by World Scientific. This book was released on 1998-11-06 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetry is one of the most important organising principles in the natural sciences. The mathematical theory of symmetry has long been associated with group theory, but it is a basic premise of this book that there are aspects of symmetry which are more faithfully represented by a generalization of groups called inverse semigroups. The theory of inverse semigroups is described from its origins in the foundations of differential geometry through to its most recent applications in combinatorial group theory, and the theory tilings.
Download or read book Leavitt Path Algebras written by Gene Abrams and published by Springer. This book was released on 2017-11-30 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume. Since Leavitt path algebras were first defined in 2005, interest in these algebras has grown substantially, with ring theorists as well as researchers working in graph C*-algebras, group theory and symbolic dynamics attracted to the topic. Providing a historical perspective on the subject, the authors review existing arguments, establish new results, and outline the major themes and ring-theoretic concepts, such as the ideal structure, Z-grading and the close link between Leavitt path algebras and graph C*-algebras. The book also presents key lines of current research, including the Algebraic Kirchberg Phillips Question, various additional classification questions, and connections to noncommutative algebraic geometry. Leavitt Path Algebras will appeal to graduate students and researchers working in the field and related areas, such as C*-algebras and symbolic dynamics. With its descriptive writing style, this book is highly accessible.
Download or read book Semigroups Categories and Partial Algebras written by P. G. Romeo and published by Springer. This book was released on 2022-03-29 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of selected papers presented at the International Conference on Semigroups and Applications, held at the Cochin University of Science and Technology, India, from December 9–12, 2019. This book discusses the recent developments in semigroups theory, category theory and the applications of these in various areas of research, including structure theory of semigroups, lattices, rings and partial algebras. This book presents chapters on ordering orders and quotient rings, block groups and Hall’s relations, quotients of the Booleanization of inverse semigroup, Markov chains through semigroup graph expansions, polycyclic inverse monoids and Thompson group, balanced category and bundle category. This book will be of much value to researchers working in areas of semigroup and operator theory.
Download or read book A Groupoid Approach to C Algebras written by Jean Renault and published by Springer. This book was released on 2006-11-15 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Calculus Problem Solver written by Editors of REA and published by Research & Education Assoc.. This book was released on 2013-01-01 with total page 1058 pages. Available in PDF, EPUB and Kindle. Book excerpt: REA’s Advanced Calculus Problem Solver Each Problem Solver is an insightful and essential study and solution guide chock-full of clear, concise problem-solving gems. Answers to all of your questions can be found in one convenient source from one of the most trusted names in reference solution guides. More useful, more practical, and more informative, these study aids are the best review books and textbook companions available. They're perfect for undergraduate and graduate studies. This highly useful reference is the finest overview of advanced calculus currently available, with hundreds of calculus problems that cover everything from point set theory and vector spaces to theories of differentiation and integrals. Each problem is clearly solved with step-by-step detailed solutions.
Download or read book Topology Ergodic Theory Real Algebraic Geometry written by Vladimir G. Turaev and published by American Mathematical Soc.. This book was released on 2001 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the memory of the Russian mathematician, V.A. Rokhlin (1919-1984). It is a collection of research papers written by his former students and followers, who are now experts in their fields. The topics in this volume include topology (the Morse-Novikov theory, spin bordisms in dimension 6, and skein modules of links), real algebraic geometry (real algebraic curves, plane algebraic surfaces, algebraic links, and complex orientations), dynamics (ergodicity, amenability, and random bundle transformations), geometry of Riemannian manifolds, theory of Teichmuller spaces, measure theory, etc. The book also includes a biography of Rokhlin by Vershik and two articles which should prove of historical interest.
Download or read book Classical and Quantum Physics written by G. Marmo and published by Springer. This book was released on 2019-10-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings is based on the interdisciplinary workshop held in Madrid, 5-9 March 2018, dedicated to Alberto Ibort on his 60th birthday. Alberto has great and significantly contributed to many fields of mathematics and physics, always with highly original and innovative ideas.Most of Albertos’s scientific activity has been motivated by geometric ideas, concepts and tools that are deeply related to the framework of classical dynamics and quantum mechanics.Let us mention some of the fields of expertise of Alberto Ibort:Geometric Mechanics; Constrained Systems; Variational Principles; Multisymplectic structures for field theories; Super manifolds; Inverse problem for Bosonic and Fermionic systems; Quantum Groups, Integrable systems, BRST Symmetries; Implicit differential equations; Yang-Mills Theories; BiHamiltonian Systems; Topology Change and Quantum Boundary Conditions; Classical and Quantum Control; Orthogonal Polynomials; Quantum Field Theory and Noncommutative Spaces; Classical and Quantum Tomography; Quantum Mechanics on phase space; Wigner-Weyl formalism; Lie-Jordan Algebras, Classical and Quantum; Quantum-to-Classical transition; Contraction of Associative Algebras; contact geometry, among many others.In each contribution, one may find not only technical novelties but also completely new way of looking at the considered problems. Even an experienced reader, reading Alberto's contributions on his field of expertise, will find new perspectives on the considered topic.His enthusiasm is happily contagious, for this reason he has had, and still has, very bright students wishing to elaborate their PhD thesis under his guidance.What is more impressive, is the broad list of rather different topics on which he has contributed.
Download or read book Cardinal Algebras written by Alfred Tarski and published by . This book was released on 1949 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Mathematics of Chip Firing written by Caroline J. Klivans and published by CRC Press. This book was released on 2018-11-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Chip-firing is a solid introduction and overview of the growing field of chip-firing. It offers an appreciation for the richness and diversity of the subject. Chip-firing refers to a discrete dynamical system — a commodity is exchanged between sites of a network according to very simple local rules. Although governed by local rules, the long-term global behavior of the system reveals fascinating properties. The Fundamental properties of chip-firing are covered from a variety of perspectives. This gives the reader both a broad context of the field and concrete entry points from different backgrounds. Broken into two sections, the first examines the fundamentals of chip-firing, while the second half presents more general frameworks for chip-firing. Instructors and students will discover that this book provides a comprehensive background to approaching original sources. Features: Provides a broad introduction for researchers interested in the subject of chip-firing The text includes historical and current perspectives Exercises included at the end of each chapter About the Author: Caroline J. Klivans received a BA degree in mathematics from Cornell University and a PhD in applied mathematics from MIT. Currently, she is an Associate Professor in the Division of Applied Mathematics at Brown University. She is also an Associate Director of ICERM (Institute for Computational and Experimental Research in Mathematics). Before coming to Brown she held positions at MSRI, Cornell and the University of Chicago. Her research is in algebraic, geometric and topological combinatorics.
Download or read book Partial Dynamical Systems Fell Bundles and Applications written by Ruy Exel and published by American Mathematical Soc.. This book was released on 2017-09-20 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Partial dynamical systems, originally developed as a tool to study algebras of operators in Hilbert spaces, has recently become an important branch of algebra. Its most powerful results allow for understanding structural properties of algebras, both in the purely algebraic and in the C*-contexts, in terms of the dynamical properties of certain systems which are often hiding behind algebraic structures. The first indication that the study of an algebra using partial dynamical systems may be helpful is the presence of a grading. While the usual theory of graded algebras often requires gradings to be saturated, the theory of partial dynamical systems is especially well suited to treat nonsaturated graded algebras which are in fact the source of the notion of “partiality”. One of the main results of the book states that every graded algebra satisfying suitable conditions may be reconstructed from a partial dynamical system via a process called the partial crossed product. Running in parallel with partial dynamical systems, partial representations of groups are also presented and studied in depth. In addition to presenting main theoretical results, several specific examples are analyzed, including Wiener–Hopf algebras and graph C*-algebras.
Download or read book Self Similar Groups written by Volodymyr Nekrashevych and published by American Mathematical Society. This book was released on 2024-04-05 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-similar groups (groups generated by automata) appeared initially as examples of groups that are easy to define but that enjoy exotic properties like nontrivial torsion, intermediate growth, etc. The book studies the self-similarity phenomenon in group theory and shows its intimate relation with dynamical systems and more classical self-similar structures, such as fractals, Julia sets, and self-affine tilings. The relation is established through the notions of the iterated monodromy group and the limit space, which are the central topics of the book. A wide variety of examples and different applications of self-similar groups to dynamical systems and vice versa are discussed. It is shown in particular how Julia sets can be reconstructed from the respective iterated monodromy groups and that groups with exotic properties appear now not just as isolated examples but as naturally defined iterated monodromy groups of rational functions. The book is intended to be accessible to a wide mathematical readership, including graduate students interested in group theory and dynamical systems.
Download or read book Theory of Codes written by Jean Berstel and published by . This book was released on 1985 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Structure of Regular Semigroups I written by K. S. S. Nambooripad and published by American Mathematical Soc.. This book was released on 1979 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: The structure of regular semigroups is studied in full generality. The principal tool used in this is the concept of a (regular) biordered set which abstractly characterizes the set of idempotents of a regular semigroup. The category of inductive groupoids is then defined as the category whose objects are pairs consisting of an ordered groupoid and an order-preserving functor of the chain groupoid of a biordered set whose vertex map is a bijection, and whose morphisms are certain commutative diagrams in the category of ordered groupoids. It is shown by an explicit construction that every regular semigroup can be constructed from an inductive groupoid and that the category of inductive groupoids is equivalent to the category of all regular semigroups. This construction is then applied to obtain the structure of all fundamental regular semigroups and all idempotent generated regular semigroups. The paper ends with a study of biordered sets of some important classes of regular semigroups.
