NonasSociative Algebra and Its Applications

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R. Costa, Henrique Guzzo, Jr., A. Grichkov, L.A. Peresi
CRC Press, Apr 18, 2000 - Mathematics - 488 pages
A collection of lectures presented at the Fourth International Conference on Nonassociative Algebra and its Applications, held in Sao Paulo, Brazil. Topics in algebra theory include alternative, Bernstein, Jordan, lie, and Malcev algebras and superalgebras. The volume presents applications to population genetics theory, physics, and more.
 

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Contents

Identities of graded alternative algebras
9
Eideals in Bernstein algebras
35
Immediate applications of a new classification of finite dimensional
55
the role
79
Derivations in second order Bernstein algebras
105
Algebraic structure of the nonabelian Toda models
125
S González University of Oviedo Oviedo Spain
137
A note on linearization of some identities
147
a relation between dressing
275
F E Mendonça da Silveira Institute of Theoretical Physics UNESP
288
H Belich and R Paunov
289
On the structure of the simple Moufang loop GLL F2
313
Luiz Antonio Peresi University of São Paulo São Paulo Brazil
321
Smooth quasigroups and loops Recent achievements and open
337
Bernstein algebras whose lattice of ideals is distributive
357
J Setó University of Oviedo Oviedo Spain
365

A construction of Jordan superalgebras from JordanLie
171
Bernstein superalgebras of dimension four
189
BanachBernstein algebras and their applications
205
Derivations of structurable Halgebras
219
Erwin Kleinfeld University of Iowa Iowa City Iowa
229
Sur des anneaux commutatifs à puissances associatives
235
Principal Qbundles
247
Applications of Lie ring methods to group theory
373
Computable rings groups and their isomorphisms
397
Quantum Valgebras
417
J F Gomes F E Mendonça da Silveira G M Sotkov
437
Supplementing radicals of nonassociative rings
457
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