Ordered Algebraic Structures and Related Topics

Ordered Algebraic Structures and Related Topics Author Fabrizio Broglia
ISBN-10 9781470429669
Release 2017
Pages 384
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This volume contains the proceedings of the international conference ""Ordered Algebraic Structures and Related Topics'', held from October 12-16, 2015, at CIRM, Luminy, Marseilles, France. Papers contained in this volume cover topics in real analytic geometry, real algebra, and real algebraic geometry including complexity issues, model theory of various algebraic and differential structures, Witt equivalence of fields, and the moment problem.



Lecture Notes on Algebraic Structure of Lattice Ordered Rings

Lecture Notes on Algebraic Structure of Lattice Ordered Rings Author Jingjing Ma
ISBN-10 9789814571449
Release 2014-03-07
Pages 260
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Algebraic Structure of Lattice-Ordered Rings presents an introduction to the theory of lattice-ordered rings and some new developments in this area in the last 10-15 years. It aims to provide the reader with a good foundation in the subject, as well as some new research ideas and topic in the field. This book may be used as a textbook for graduate and advanced undergraduate students who have completed an abstract algebra course including general topics on group, ring, module, and field. It is also suitable for readers with some background in abstract algebra and are interested in lattice-ordered rings to use as a self-study book. The book is largely self-contained, except in a few places, and contains about 200 exercises to assist the reader to better understand the text and practice some ideas. Contents:Introduction to Ordered Algebraic Systems:LatticesLattice-Ordered Groups and Vector LatticesLattice-Ordered Rings and AlgebrasLattice-Ordered Algebras with a d-Basis:Examples and Basic PropertiesStructure TheoremsPositive Derivations on ℓ-Rings:Examples and Basic Propertiesƒ-Ring and Its GeneralizationsMatrix ℓ-RingsKernel of a Positive DerivationSome Topics on Lattice-Ordered Rings:Recognition of Matrix ℓ-Rings with the Entrywise OrderPositive CyclesNonzero ƒ-Eelements in ℓ-RingsQuotient Rings of Lattice-Ordered Ore DomainsMatrix ℓ-Algebras Over Totally Ordered Integral Domainsd-Elements That are Not PositiveLattice-Ordered Triangular Matrix Algebrasℓ-Ideals of ℓ-Unital Lattice-Ordered Rings:Maximal ℓ-Idealsℓ-Ideals in commutative ℓ-Unital ℓ-Rings Readership: Graduate students in algebra and number theory. Key Features:The book includes new material such as positive derivations on lattice-ordered rings, lattice-ordered triangular matrix algebrasMore details are provided in proofs of the results in the book for beginners to understand the textThe book presents new research ideas, methods and topics suitable to advanced undergraduate students and master studentsKeywords:Lattice-ordered Ring;Lattice-ordered Algebra



A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences

A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences Author K. Glazek
ISBN-10 1402007175
Release 2002-06-30
Pages 392
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This book presents a guide to the extensive literature on the topic of semirings and includes a complete bibliography. It serves as a complement to the existing monographs and a point of reference to researchers and students on this topic. The literature on semirings has evolved over many years, in a variety of languages, by authors representing different schools of mathematics and working in various related fields. Recently, semiring theory has experienced rapid development, although publications are widely scattered. This survey also covers those newly emerged areas of semiring applications that have not received sufficient treatment in widely accessible monographs, as well as many lesser-known or `forgotten' works. The author has been collecting the bibliographic data for this book since 1985. Over the years, it has proved very useful for specialists. For example, J.S. Golan wrote he owed `... a special debt to Kazimierz Glazek, whose bibliography proved to be an invaluable guide to the bewildering maze of literature on semirings'. U. Hebisch and H.J. Weinert also mentioned his collection of literature had been of great assistance to them. Now updated to include publications up to the beginning of 2002, this work is available to a wide readership. Audience: This volume is the first single reference that can guide the interested scholar or student to the relevant publications in semirings, semifields, algebraic theory of languages and automata, positive matrices and other generalisations, and ordered semigroups and groups.



Topological and Algebraic Structures in Fuzzy Sets

Topological and Algebraic Structures in Fuzzy Sets Author S.E. Rodabaugh
ISBN-10 9789401702317
Release 2013-03-14
Pages 470
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This volume summarizes recent developments in the topological and algebraic structures in fuzzy sets and may be rightly viewed as a continuation of the stan dardization of the mathematics of fuzzy sets established in the "Handbook", namely the Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, Volume 3 of The Handbooks of Fuzzy Sets Series (Kluwer Academic Publish ers, 1999). Many of the topological chapters of the present work are not only based upon the foundations and notation for topology laid down in the Hand book, but also upon Handbook developments in convergence, uniform spaces, compactness, separation axioms, and canonical examples; and thus this work is, with respect to topology, a continuation of the standardization of the Hand book. At the same time, this work significantly complements the Handbook in regard to algebraic structures. Thus the present volume is an extension of the content and role of the Handbook as a reference work. On the other hand, this volume, even as the Handbook, is a culmination of mathematical developments motivated by the renowned International Sem inar on Fuzzy Set Theory, also known as the Linz Seminar, held annually in Linz, Austria. Much of the material of this volume is related to the Twenti eth Seminar held in February 1999, material for which the Seminar played a crucial and stimulating role, especially in providing feedback, connections, and the necessary screening of ideas.



Ordered Algebraic Structures

Ordered Algebraic Structures Author W.C. Holland
ISBN-10 0792343778
Release 1997-03-31
Pages 332
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This book provides a sampling of recent advances in ordered algebraic structures, with emphasis on developments in areas where general topology, category theory and model theory play a prominent role. The discourse in ordered algebra has been significantly affected by other disciplines, and this volume is representative of that trend. Audience: This volume will appeal to mathematicians with a wide range of interests, particularly in topology, and the topology of rings of functions.



Revue Roumaine de Math matiques Pures Et Applique s

Revue Roumaine de Math  matiques Pures Et Applique  s Author
ISBN-10 UVA:X002277293
Release 1986
Pages
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Revue Roumaine de Math matiques Pures Et Applique s has been writing in one form or another for most of life. You can find so many inspiration from Revue Roumaine de Math matiques Pures Et Applique s also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Revue Roumaine de Math matiques Pures Et Applique s book for free.



Revue Roumaine de Math matiques Pures Et Appliqu es

Revue Roumaine de Math  matiques Pures Et Appliqu  es Author
ISBN-10 UCR:31210014117244
Release 1986
Pages
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Revue Roumaine de Math matiques Pures Et Appliqu es has been writing in one form or another for most of life. You can find so many inspiration from Revue Roumaine de Math matiques Pures Et Appliqu es also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Revue Roumaine de Math matiques Pures Et Appliqu es book for free.



Partially Ordered Abelian Groups with Interpolation

Partially Ordered Abelian Groups with Interpolation Author Kenneth R. Goodearl
ISBN-10 9780821849804
Release 2010
Pages 336
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A branch of ordered algebraic structures has grown, motivated by $K$-theoretic applications and mainly concerned with partially ordered abelian groups satisfying the Riesz interpolation property. This monograph is the first source in which the algebraic and analytic aspects of these interpolation groups have been integrated into a coherent framework for general reference. The author provides a solid foundation in the structure theory of interpolation groups and dimension groups (directed unperforated interpolation groups), with applications to ordered $K$-theory particularly in mind. Although interpolation groups are defined as purely algebraic structures, their development has been strongly influenced by functional analysis. This cross-cultural development has left interpolation groups somewhat estranged from both the algebraists, who may feel intimidated by compact convex sets, and the functional analysts, who may feel handicapped by the lack of scalars. This book, requiring only standard first-year graduate courses in algebra and functional analysis, aims to make the subject accessible to readers from both disciplines. High points of the development include the following: characterization of dimension groups as direct limits of finite products of copies of the integers; the double-dual representation of an interpolation group with order-unit via affine continuous real-valued functions on its state space; the structure of dimension groups complete with respect to the order-unit norm, as well as monotone sigma-complete dimension groups and dimension groups with countably infinite interpolation; and an introduction to the problem of classifying extensions of one dimension group by another. The book also includes a development of portions of the theory of compact convex sets and Choquet simplices, and an expository discussion of various applications of interpolation group theory to rings and $C^*$-algebras via ordered $K_0$. A discussion of some open problems in interpolation groups and dimension groups concludes the book. Of interest, of course, to researchers in ordered algebraic structures, the book will also be a valuable source for researchers seeking a background in interpolation groups and dimension groups for applications to such subjects as rings, operator algebras, topological Markov chains, positive polynomials, compact group actions, or other areas where ordered Grothendieck groups might be useful.



Advances in Algebra and Model Theory

Advances in Algebra and Model Theory Author M Droste
ISBN-10 9056991019
Release 1998-01-29
Pages 512
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Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community. The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered. This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.



Parametric Optimization and Related Topics

Parametric Optimization and Related Topics Author Jürgen Guddat
ISBN-10 UOM:39015015631677
Release 1985
Pages 407
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Parametric Optimization and Related Topics has been writing in one form or another for most of life. You can find so many inspiration from Parametric Optimization and Related Topics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Parametric Optimization and Related Topics book for free.



Recent Advances in Representation Theory Quantum Groups Algebraic Geometry and Related Topics

Recent Advances in Representation Theory  Quantum Groups  Algebraic Geometry  and Related Topics Author Pramod M. Achar
ISBN-10 9780821898529
Release 2014-08-27
Pages 280
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This volume contains the proceedings of two AMS Special Sessions "Geometric and Algebraic Aspects of Representation Theory" and "Quantum Groups and Noncommutative Algebraic Geometry" held October 13–14, 2012, at Tulane University, New Orleans, Louisiana. Included in this volume are original research and some survey articles on various aspects of representations of algebras including Kac—Moody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics.



Mathematical Reviews

Mathematical Reviews Author
ISBN-10 UOM:39015057109889
Release 2002
Pages
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Mathematical Reviews has been writing in one form or another for most of life. You can find so many inspiration from Mathematical Reviews also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematical Reviews book for free.



Semilattice structures

Semilattice structures Author Ivan Chajda
ISBN-10 388538230X
Release 2007-06
Pages 228
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Semilattice structures has been writing in one form or another for most of life. You can find so many inspiration from Semilattice structures also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Semilattice structures book for free.



Theory of Lattice Ordered Groups

Theory of Lattice Ordered Groups Author Michael Darnel
ISBN-10 0824793269
Release 1994-11-15
Pages 560
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Provides a thorough discussion of the orderability of a group. The book details the major developments in the theory of lattice-ordered groups, delineating standard approaches to structural and permutation representations. A radically new presentation of the theory of varieties of lattice-ordered groups is offered.;This work is intended for pure and applied mathematicians and algebraists interested in topics such as group, order, number and lattice theory, universal algebra, and representation theory; and upper-level undergraduate and graduate students in these disciplines.;College or university bookstores may order five or more copies at a special student price which is available from Marcel Dekker Inc, upon request.



Abelian Groups and Representations of Finite Partially Ordered Sets

Abelian Groups and Representations of Finite Partially Ordered Sets Author David Arnold
ISBN-10 9781441987501
Release 2012-11-14
Pages 244
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The theme of this book is an exposition of connections between representations of finite partially ordered sets and abelian groups. Emphasis is placed throughout on classification, a description of the objects up to isomorphism, and computation of representation type, a measure of when classification is feasible. David M. Arnold is the Ralph and Jean Storm Professor of Mathematics at Baylor University. He is the author of "Finite Rank Torsion Free Abelian Groups and Rings" published in the Springer-Verlag Lecture Notes in Mathematics series, a co-editor for two volumes of conference proceedings, and the author of numerous articles in mathematical research journals.



Aspects of Brownian Motion

Aspects of Brownian Motion Author Roger Mansuy
ISBN-10 3540499660
Release 2008-09-16
Pages 200
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Stochastic calculus and excursion theory are very efficient tools for obtaining either exact or asymptotic results about Brownian motion and related processes. This book focuses on special classes of Brownian functionals, including Gaussian subspaces of the Gaussian space of Brownian motion; Brownian quadratic funtionals; Brownian local times; Exponential functionals of Brownian motion with drift; Time spent by Brownian motion below a multiple of its one-sided supremum.



Ordered Algebraic Structures 93

Ordered Algebraic Structures  93 Author
ISBN-10 CORNELL:31924070122084
Release 1995
Pages 228
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Ordered Algebraic Structures 93 has been writing in one form or another for most of life. You can find so many inspiration from Ordered Algebraic Structures 93 also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Ordered Algebraic Structures 93 book for free.