Braids And Self Distributivity

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Braids and Self-Distributivity

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Author : Patrick Dehornoy
Publisher : Birkhäuser
ISBN 13 : 3034884427
Total Pages : 637 pages
Book Rating : 4.0/5 (348 download)

Book Synopsis Braids and Self-Distributivity by : Patrick Dehornoy

Download or read book Braids and Self-Distributivity written by Patrick Dehornoy and published by Birkhäuser. This book was released on 2012-12-06 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the award-winning monograph of the Sunyer i Balaguer Prize 1999. The book presents recently discovered connections between Artin’s braid groups and left self-distributive systems, which are sets equipped with a binary operation satisfying the identity x(yz) = (xy)(xz). Although not a comprehensive course, the exposition is self-contained, and many basic results are established. In particular, the first chapters include a thorough algebraic study of Artin’s braid groups.

Ordering Braids

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Author : Patrick Dehornoy
Publisher : American Mathematical Soc.
ISBN 13 : 0821844318
Total Pages : 339 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Ordering Braids by : Patrick Dehornoy

Download or read book Ordering Braids written by Patrick Dehornoy and published by American Mathematical Soc.. This book was released on 2008 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the discovery that Artin's braid groups enjoy a left-invariant linear ordering, several different approaches have been used to understand this phenomenon. This text provides an account of those approaches, involving varied objects & domains as combinatorial group theory, self-distributive algebra & finite combinatorics.

Algebraic Methods in Cryptography

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Author : Lothar Gerritzen
Publisher : American Mathematical Soc.
ISBN 13 : 0821840371
Total Pages : 190 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Algebraic Methods in Cryptography by : Lothar Gerritzen

Download or read book Algebraic Methods in Cryptography written by Lothar Gerritzen and published by American Mathematical Soc.. This book was released on 2006 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book consists of contributions related mostly to public-key cryptography, including the design of new cryptographic primitives as well as cryptanalysis of previously suggested schemes. Most papers are original research papers in the area that can be loosely defined as ``non-commutative cryptography''; this means that groups (or other algebraic structures) which are used as platforms are non-commutative.

Nonassociative Mathematics and its Applications

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Author : Petr Vojtěchovský
Publisher : American Mathematical Soc.
ISBN 13 : 1470442450
Total Pages : 310 pages
Book Rating : 4.4/5 (74 download)

Book Synopsis Nonassociative Mathematics and its Applications by : Petr Vojtěchovský

Download or read book Nonassociative Mathematics and its Applications written by Petr Vojtěchovský and published by American Mathematical Soc.. This book was released on 2019-01-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonassociative mathematics is a broad research area that studies mathematical structures violating the associative law x(yz)=(xy)z. The topics covered by nonassociative mathematics include quasigroups, loops, Latin squares, Lie algebras, Jordan algebras, octonions, racks, quandles, and their applications. This volume contains the proceedings of the Fourth Mile High Conference on Nonassociative Mathematics, held from July 29–August 5, 2017, at the University of Denver, Denver, Colorado. Included are research papers covering active areas of investigation, survey papers covering Leibniz algebras, self-distributive structures, and rack homology, and a sampling of applications ranging from Yang-Mills theory to the Yang-Baxter equation and Laver tables. An important aspect of nonassociative mathematics is the wide range of methods employed, from purely algebraic to geometric, topological, and computational, including automated deduction, all of which play an important role in this book.

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

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Author : K. Glazek
Publisher : Springer Science & Business Media
ISBN 13 : 9401599645
Total Pages : 394 pages
Book Rating : 4.4/5 (15 download)

Book Synopsis A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences by : K. Glazek

Download or read book A Guide to the Literature on Semirings and their Applications in Mathematics and Information Sciences written by K. Glazek and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a short guide to the extensive literature concerning semir ings along with a complete bibliography. The literature has been created over many years, in variety of languages, by authors representing different schools of mathematics and working in various related fields. In many instances the terminology used is not universal, which further compounds the difficulty of locating pertinent sources even in this age of the Internet and electronic dis semination of research results. So far there has been no single reference that could guide the interested scholar or student to the relevant publications. This book is an attempt to fill this gap. My interest in the theory of semirings began in the early sixties, when to gether with Bogdan W ~glorz I tried to investigate some algebraic aspects of compactifications of topological spaces, semirings of semicontinuous functions, and the general ideal theory for special semirings. (Unfortunately, local alge braists in Poland told me at that time that there was nothing interesting in investigating semiring theory because ring theory was still being developed). However, some time later we became aware of some similar investigations hav ing already been done. The theory of semirings has remained "my first love" ever since, and I have been interested in the results in this field that have been appearing in literature (even though I have not been active in this area myself).

Braid Groups

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Author : Christian Kassel
Publisher : Springer Science & Business Media
ISBN 13 : 0387685480
Total Pages : 349 pages
Book Rating : 4.3/5 (876 download)

Book Synopsis Braid Groups by : Christian Kassel

Download or read book Braid Groups written by Christian Kassel and published by Springer Science & Business Media. This book was released on 2008-06-28 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the subject. Relevant additional material is included in five large appendices. Braid Groups will serve graduate students and a number of mathematicians coming from diverse disciplines.

Acta Universitatis Carolinae

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Author :
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.6/5 (254 download)

Book Synopsis Acta Universitatis Carolinae by :

Download or read book Acta Universitatis Carolinae written by and published by . This book was released on 2002 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Why are Braids Orderable?

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Author : Patrick Dehornoy
Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Why are Braids Orderable? by : Patrick Dehornoy

Download or read book Why are Braids Orderable? written by Patrick Dehornoy and published by . This book was released on 2002 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the decade since the discovery that Artin's braid groups enjoy a left-invariant linear ordering, several quite different approaches have been applied to understand this phenomenon. This book is an account of those approaches, involving self-distributive algebra, uniform finite trees, combinatorial group theory, mapping class groups, laminations, and hyperbolic geometry. This volume is suitable for graduate students and research mathematicians interested in algebra and topology.

Handbook of Set Theory

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Author : Matthew Foreman
Publisher : Springer Science & Business Media
ISBN 13 : 1402057644
Total Pages : 2200 pages
Book Rating : 4.4/5 (2 download)

Book Synopsis Handbook of Set Theory by : Matthew Foreman

Download or read book Handbook of Set Theory written by Matthew Foreman and published by Springer Science & Business Media. This book was released on 2009-12-10 with total page 2200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numbers imitate space, which is of such a di?erent nature —Blaise Pascal It is fair to date the study of the foundation of mathematics back to the ancient Greeks. The urge to understand and systematize the mathematics of the time led Euclid to postulate axioms in an early attempt to put geometry on a ?rm footing. With roots in the Elements, the distinctive methodology of mathematics has become proof. Inevitably two questions arise: What are proofs? and What assumptions are proofs based on? The ?rst question, traditionally an internal question of the ?eld of logic, was also wrestled with in antiquity. Aristotle gave his famous syllogistic s- tems, and the Stoics had a nascent propositional logic. This study continued with ?ts and starts, through Boethius, the Arabs and the medieval logicians in Paris and London. The early germs of logic emerged in the context of philosophy and theology. The development of analytic geometry, as exempli?ed by Descartes, ill- tratedoneofthedi?cultiesinherentinfoundingmathematics. Itisclassically phrased as the question ofhow one reconciles the arithmetic with the geom- ric. Arenumbers onetypeofthingand geometricobjectsanother? Whatare the relationships between these two types of objects? How can they interact? Discovery of new types of mathematical objects, such as imaginary numbers and, much later, formal objects such as free groups and formal power series make the problem of ?nding a common playing ?eld for all of mathematics importunate. Several pressures made foundational issues urgent in the 19th century.

Knot Theory

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Author : Vassily Olegovich Manturov
Publisher : CRC Press
ISBN 13 : 0203402847
Total Pages : 417 pages
Book Rating : 4.2/5 (34 download)

Book Synopsis Knot Theory by : Vassily Olegovich Manturov

Download or read book Knot Theory written by Vassily Olegovich Manturov and published by CRC Press. This book was released on 2004-02-24 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since discovery of the Jones polynomial, knot theory has enjoyed a virtual explosion of important results and now plays a significant role in modern mathematics. In a unique presentation with contents not found in any other monograph, Knot Theory describes, with full proofs, the main concepts and the latest investigations in the field. The book is divided into six thematic sections. The first part discusses "pre-Vassiliev" knot theory, from knot arithmetics through the Jones polynomial and the famous Kauffman-Murasugi theorem. The second part explores braid theory, including braids in different spaces and simple word recognition algorithms. A section devoted to the Vassiliev knot invariants follows, wherein the author proves that Vassiliev invariants are stronger than all polynomial invariants and introduces Bar-Natan's theory on Lie algebra respresentations and knots. The fourth part describes a new way, proposed by the author, to encode knots by d-diagrams. This method allows the encoding of topological objects by words in a finite alphabet. Part Five delves into virtual knot theory and virtualizations of knot and link invariants. This section includes the author's own important results regarding new invariants of virtual knots. The book concludes with an introduction to knots in 3-manifolds and Legendrian knots and links, including Chekanov's differential graded algebra (DGA) construction. Knot Theory is notable not only for its expert presentation of knot theory's state of the art but also for its accessibility. It is valuable as a professional reference and will serve equally well as a text for a course on knot theory.

Mathematical Reviews

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Author :
Publisher :
ISBN 13 :
Total Pages : 916 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 916 pages. Available in PDF, EPUB and Kindle. Book excerpt:

St. Petersburg Mathematical Journal

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Author :
Publisher :
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.3/5 (91 download)

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Download or read book St. Petersburg Mathematical Journal written by and published by . This book was released on 2004 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Russian Mathematical Surveys

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Author :
Publisher :
ISBN 13 :
Total Pages : 672 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis Russian Mathematical Surveys by :

Download or read book Russian Mathematical Surveys written by and published by . This book was released on 2003 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:

BAG

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Author :
Publisher :
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis BAG by :

Download or read book BAG written by and published by . This book was released on 2004 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Abstracts of Papers Presented to the American Mathematical Society

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Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 754 pages
Book Rating : 4.E/5 ( download)

Book Synopsis Abstracts of Papers Presented to the American Mathematical Society by : American Mathematical Society

Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 2007 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Demonstratio mathematica

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Author :
Publisher :
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.3/5 (91 download)

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Download or read book Demonstratio mathematica written by and published by . This book was released on 2006 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Discussiones Mathematicae

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Publisher :
ISBN 13 :
Total Pages : 784 pages
Book Rating : 4.3/5 (91 download)

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Download or read book Discussiones Mathematicae written by and published by . This book was released on 2003 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: