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Softcover ISBN:  9781470442453 
Product Code:  CONM/721 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
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Product Code:  CONM/721.E 
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AMS Member Price:  $100.00 
Softcover ISBN:  9781470442453 
eBook ISBN:  9781470451028 
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Book DetailsContemporary MathematicsVolume: 721; 2019; 297 ppMSC: Primary 11; 17; 20; 52; 55; 57; 81; 83
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, selfdistributive structures, and rack homology, and a sampling of applications ranging from YangMills theory to the YangBaxter 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.
ReadershipGraduate students and research mathematicians interested in nonassociative algebraic structures, Lie algebras, and Jordan algebras.

Table of Contents

Articles

A. Anastasiou, L. Borsten, M. J. Duff, A. Marrani, S. Nagy and M. Zoccali — The mile high magic pyramid$^*$

Murray R. Bremner — Symmetrization of Jordan dialgebras

J. Scott Carter, Victoria Lebed and Seung Yeop Yang — A prismatic classifying space

Patrick Dehornoy — Some aspects of the SDworld

Aleš Drápal — About Laver tables

Jörg Feldvoss — Leibniz algebras as nonassociative algebras

Mark Greer — Simple right conjugacy closed loops

Bokhee Im and Jonathan D. H. Smith — Orthogonality of approximate Latin squares and quasigroups

Sujoy Mukherjee and Józef H. Przytycki — On the rack homology of graphic quandles

Alex Nowak — Modules over semisymmetric quasigroups

J. D. Phillips — Moufang and commutant elements in magmas

S. Pumplün — The multiplicative loops of JhaJohnson semifields

Anna Romanowska — Convex sets and barycentric algebras

Izabella Stuhl and Petr Vojtěchovský — Enumeration of involutory latin quandles, Bruck loops and commutative automorphic loops of odd prime power order

Piero Truini, Michael Rios and Alessio Marrani — The magic star of exceptional periodicity


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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, selfdistributive structures, and rack homology, and a sampling of applications ranging from YangMills theory to the YangBaxter 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.
Graduate students and research mathematicians interested in nonassociative algebraic structures, Lie algebras, and Jordan algebras.

Articles

A. Anastasiou, L. Borsten, M. J. Duff, A. Marrani, S. Nagy and M. Zoccali — The mile high magic pyramid$^*$

Murray R. Bremner — Symmetrization of Jordan dialgebras

J. Scott Carter, Victoria Lebed and Seung Yeop Yang — A prismatic classifying space

Patrick Dehornoy — Some aspects of the SDworld

Aleš Drápal — About Laver tables

Jörg Feldvoss — Leibniz algebras as nonassociative algebras

Mark Greer — Simple right conjugacy closed loops

Bokhee Im and Jonathan D. H. Smith — Orthogonality of approximate Latin squares and quasigroups

Sujoy Mukherjee and Józef H. Przytycki — On the rack homology of graphic quandles

Alex Nowak — Modules over semisymmetric quasigroups

J. D. Phillips — Moufang and commutant elements in magmas

S. Pumplün — The multiplicative loops of JhaJohnson semifields

Anna Romanowska — Convex sets and barycentric algebras

Izabella Stuhl and Petr Vojtěchovský — Enumeration of involutory latin quandles, Bruck loops and commutative automorphic loops of odd prime power order

Piero Truini, Michael Rios and Alessio Marrani — The magic star of exceptional periodicity