Monoids Acts And Categories
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Monoids Acts And Categories
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Author : Mati Kilp
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-24
Monoids Acts And Categories written by Mati Kilp and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-24 with Mathematics categories.
The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)
Algebra
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Author : Yuri Bahturin
language : en
Publisher: Walter de Gruyter
Release Date : 2011-05-02
Algebra written by Yuri Bahturin and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-02 with Mathematics categories.
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2006
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
The Yokohama Mathematical Journal
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Author :
language : en
Publisher:
Release Date : 2005
The Yokohama Mathematical Journal written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Representation Theory Of Finite Monoids
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Author : Benjamin Steinberg
language : en
Publisher: Springer
Release Date : 2016-12-09
Representation Theory Of Finite Monoids written by Benjamin Steinberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-09 with Mathematics categories.
This first text on the subject provides a comprehensive introduction to the representation theory of finite monoids. Carefully worked examples and exercises provide the bells and whistles for graduate accessibility, bringing a broad range of advanced readers to the forefront of research in the area. Highlights of the text include applications to probability theory, symbolic dynamics, and automata theory. Comfort with module theory, a familiarity with ordinary group representation theory, and the basics of Wedderburn theory, are prerequisites for advanced graduate level study. Researchers in algebra, algebraic combinatorics, automata theory, and probability theory, will find this text enriching with its thorough presentation of applications of the theory to these fields. Prior knowledge of semigroup theory is not expected for the diverse readership that may benefit from this exposition. The approach taken in this book is highly module-theoretic and follows the modern flavor of the theory of finite dimensional algebras. The content is divided into 7 parts. Part I consists of 3 preliminary chapters with no prior knowledge beyond group theory assumed. Part II forms the core of the material giving a modern module-theoretic treatment of the Clifford –Munn–Ponizovskii theory of irreducible representations. Part III concerns character theory and the character table of a monoid. Part IV is devoted to the representation theory of inverse monoids and categories and Part V presents the theory of the Rhodes radical with applications to triangularizability. Part VI features 3 chapters devoted to applications to diverse areas of mathematics and forms a high point of the text. The last part, Part VII, is concerned with advanced topics. There are also 3 appendices reviewing finite dimensional algebras, group representation theory, and Möbius inversion.
Basic Category Theory
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Author : Tom Leinster
language : en
Publisher: Cambridge University Press
Release Date : 2014-07-24
Basic Category Theory written by Tom Leinster 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 2014-07-24 with Mathematics categories.
A short introduction ideal for students learning category theory for the first time.
Semigroups Theory And Applications
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Author : Helmut Jürgensen
language : en
Publisher: Lecture Notes in Mathematics
Release Date : 1988-06-08
Semigroups Theory And Applications written by Helmut Jürgensen and has been published by Lecture Notes in Mathematics this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-06-08 with Mathematics categories.
Contents: B.P. Alimpic, D.N. Krgovic: Some Congruences on Regular Semigroups.- J. Almeida: On Pseudovarieties of Monoids.- K. Culik II, J. Karhumäki: Systems of Equations over a Finitely Generated Free Monoid Having an Effectively Findable Equivalent Finite Subsystem.- M. Demlová, V. Koubek: Minimal Congruences and Coextensions in Semigroups.- V. Fleischer, U. Knauer: Endomorphisms Monoids of Acts are Wreath Products of Monoids With Small Categories.- J. Fountain: Free Right H-Adequate Semigroups.- G.A. Freiman, B.M. Schein: Group and Semigroup Theoretic Considerations Inspired by Inverse Problems of the Additive Number Theory.- S.M. Goberstein: Correspondences of Semigroups.- P. Goralcik, V. Koubek: On Universality of Extensions.- U. Hebisch, L.C.A. van Leeuwen: On Additively and Multiplicatively Idempotent Semirings and Partial Orders.- P.R. Jones: Congruence Semimodular Varieties of Semigroups.- M. Katsura, H.J. Shyr: Decomposition of Languages into Disjunctive Outfix Codes.- G. Lallement: Some Algorithms for Semigroups and Monoids Presented by a Single Relation.- W. Lex: Remarks on Acts and the Lattice of Their Torsion Theories.- D.Lippert, W. Thomas: Relativized Star-Free Expresssions, First-order Logic, and a Concatenation Game.- E.S. Ljapin: Semigroup Extensions of Partial Groupoids.- K. Madlener, F. Otto: On Groups Having Finite Monadic Church-Rosser Presentations.- R.B. McFadden: Automated Theorem Proving Applied to the Theory of Semigroups.- A. Nagy: Subdirectly Irreducible WE-2 Semigroups with Globally Idempotent Core.- J. Okninski: Commutative Monoid Rings with Krull Dimension.- M. Petrich, G. Thierrin: Languages Induced by Certain Homomorphisms of a Free Monoid.- G. Pollák: Infima in the Power Set of Free Semigroups.- N.R. Reilly: Update on the Problems in 'Inverse Semigroups' by M. Petrich.- K.D. Schmidt: Minimal Clans: a Class of Ordered Partial Semigroups Including Boolean Rings and Lattice-ordered Groups.- J.-C. Spehner: Les systèmes entiers d'équations sur un alphabet de 3 variables.- M.B. Szendrei: A New Interpretation of Free Orthodox and Generalized Inverse *-semigroups.- P.G. Trotter: Varieties of Completely Regular Semigroups: Their Injectives.- H.J. Weinert: Generalized Semialgebras Over Semirings.
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Author :
language : en
Publisher:
Release Date : 2006
written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
Categories For The Working Mathematician
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Author : Saunders Mac Lane
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Categories For The Working Mathematician written by Saunders Mac Lane 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 2013-04-17 with Mathematics categories.
An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.
Lectures On Logarithmic Algebraic Geometry
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Author : Arthur Ogus
language : en
Publisher: Cambridge University Press
Release Date : 2018-11-08
Lectures On Logarithmic Algebraic Geometry written by Arthur Ogus 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 2018-11-08 with Mathematics categories.
A self-contained introduction to logarithmic geometry, a key tool for analyzing compactification and degeneration in algebraic geometry.