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190216s2019 riu o 000 0 eng d |
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|a EBLCP
|b eng
|e pn
|c EBLCP
|d OCLCQ
|d LOA
|d OCLCO
|d OCLCF
|d K6U
|d OCLCO
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|a 9781470451028
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|a 1470451026
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|a (OCoLC)1086066733
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|a QA252
|b .M554 2019
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|a HCDD
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|a Vojtěchovský, Petr.
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|a Nonassociative Mathematics and Its Applications
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|a Providence :
|b American Mathematical Society,
|c 2019.
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| 300 |
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|a 1 online resource (310 pages)
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Contemporary Mathematics Ser. ;
|v v. 721
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|a Print version record.
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|a Cover; Title page; Contents; Introduction; The mile high magic pyramid*; 1. Introduction; 2. Physics background; 3. The normed division algebras; 4. The magic pyramid of supergravities; 5. Conclusion; Acknowledgment; References; Symmetrization of Jordan dialgebras; 1. Introduction; 2. Algebraic operads; 3. Degrees 4 and 5; 4. Degree 6; 5. Degree 7; Acknowledgments; References; A prismatic classifying space; 1. Introduction; 2. Prismatic homology; 3. Simplicial and cubical classifying spaces; 4. Prismatic classifying spaces; 5. Knottings of dimension 1 and 2
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|a 6. Prismatic homology with degeneracies7. Homological invariants of knottings; Acknowledgments; References; Some aspects of the SD-world; 1. Shelves, spindles, racks, and quandles; 2. Word problem, the case of shelves I; 3. Word problem, the case of shelves II; 4. Word problem, the case of racks, quandles, and spindles; References; About Laver tables; 1. Operations; 2. Elements and periods; 3. Homomorphisms; Acknowledgments and final comments; References; Leibniz algebras as non-associative algebras; Introduction; 1. Non-associative algebras; 2. Leibniz algebras -definition and examples
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|a 3. Leibniz modules4. Leibniz cohomology; 5. Nilpotent Leibniz algebras; 6. Solvable Leibniz algebras; 7. Semisimple Leibniz algebras; Acknowledgments; References; Simple right conjugacy closed loops; 1. Introduction; 2. Right conjugacy closed loops; 3. Constructing simple RCC loops; 4. Isomorphism classes; Acknowledgments; References; Orthogonality of approximate Latin squares and quasigroups; 1. Introduction; 2. Approximate quasigroups and Latin squares; 3. Orthogonality of approximate Latin squares; 4. Fields, quasigroups, and Latin squares; 5. Extension of orthogonality
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|a 6. The projective geometry of orthogonality7. The discrete distance; Acknowledgment; References; On the rack homology of graphic quandles; 1. Introduction; 2. Rack and quandle homology; 3. Odds and ends; Acknowledgments; References; Modules over semisymmetric quasigroups; 1. Introduction; 2. Semisymmetric quasigroups; 3. Multiplication groups; 4. Quasigroup modules; Acknowledgment; References; Moufang and commutant elements in magmas; 1. Introduction and a note on Prover9; 2. Moufang elements and two new submagmas; 3. The left semimedial law; 4. The middle semimedial law and a new submagma
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|a 5. A general setting for Moufang theorems6. Acknowledgment; References; The multiplicative loops of Jha-Johnson semifields; Introduction; 1. Preliminaries; 2. The automorphisms of the multiplicative loops of _{ }; 3. Inner automorphisms; 4. Nonassociative cyclic algebras; 5. Isotopies; References; Convex sets and barycentric algebras; 1. Introduction; 2. Affine spaces and convex sets; 3. The structure of barycentric algebras; 4. Barycentric algebras as entropic algebras; 5. Extended barycentric algebras; 6. Duality; 7. Threshold barycentric algebras; References
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|a Enumeration of involutory latin quandles, Bruck loops and commutative automorphic loops of odd prime power order
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|a 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,
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|a Nonassociative algebras
|v Congresses.
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|a Nonassociative algebras
|2 fast
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|a Conference papers and proceedings
|2 fast
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|a Bremner, Murray R.
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| 700 |
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|a Carter, J. Scott.
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|i Print version:
|a Vojtěchovský, Petr.
|t Nonassociative Mathematics and Its Applications.
|d Providence : American Mathematical Society, ©2019
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| 830 |
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|a Contemporary Mathematics Ser.
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| 856 |
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|u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=5683565
|y Click for online access
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| 903 |
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|a EBC-AC
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| 994 |
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|a 92
|b HCD
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