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E-raamat: NonasSociative Algebra and Its Applications: The fourth international conference [Taylor & Francis e-raamat]

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Forty papers from the conference held in S<~a>o Paulo, Brazil (date of conference not noted) on such topics as alternative, Jordan, Lie, and Bernstein and Malcev algebras and superalgebras, including applications to population genetics theory and physics. Other subjects include the geometric properties of smooth quasigroups defined by the left square distributive identity, the construction of Toda-type equations in low- and high-dimensional spaces, and an approach to construct a zero curvature representation for integrable theories in spacetimes of dimension d + 1 by the introduction of a d -form connection. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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.
Preface iii Contributors ix New approach to octonions and Cayley algebras 1(8) Helena Albuquerque Shahn Majid Identities of graded alternative algebras 9(12) Y. Bahturin M. Zaicev Invariant connections on symmetric spaces 21(14) Pilar Benito Cristina Draper Alberto Elduque E-ideals in Bernstein algebras 35(8) A. Catalan Octonions and affine connections on spheres 43(12) Alberto Elduque Hyo Chul Myung Immediate applications of a new classification of finite dimensional simple Lie algebras 55(24) Mohammed El Houari An approach to integrable theories in any dimension: the role of non-semisimple Lie algebras 79(12) Luiz A. Ferreira Versal deformations of Lie algebras 91(14) Alice Fialowski Derivations in second order Bernstein algebras 105(20) M. A. Garcia-Muniz C. Martinez Algebraic structure of the non-abelian Toda models 125(12) J. F. Gomes F. E. Mendonca da Silveira G. M. Sotkov A. H. Zimerman Alternative rings of small order and the hunt for Moufang circle loops 137(10) Edgar G. Goodaire A note on linearization of some identities 147(6) H. Guzzo Jr. P. Vicente The commuting nucleus of right alternative rings 153(18) Irvin Roy Hentzel A construction of Jordan superalgebras from Jordan--Lie triple systems 171(6) Noriaki Kamiya Susumu Okubo Rings with (x,y,z)=(x,z,y) 177(4) Erwin Kleinfeld Margaret Kleinfeld On the semisimplicity of special Jordan superalgebras 181(8) Carlos Gomez-Ambrosi Jesus Laliena Bernstein superalgebras of dimension four 189(16) S. Gonzalez C. Lopez-Diaz C. Martinez Banach--Bernstein algebras and their applications 205(6) Yu. Lyubich Jordan superalgebras 211(8) C. Martinez Derivations of structurable H*-algebras 219(10) J. Martinez Moreno Lie mappings of C*-algebras 229(6) Martin Mathieu Sur des anneaux commutatifs a puissances associatives de caracteristique premiere p>O 235(12) Joao Carlos da Motta Ferreira Artibano Micali Principal Q-bundles 247(12) Alexander I. Nesterov Z x Z-graded Lie algebras containing a Heisenberg algebra 259(16) J. Marshall Osborn Kaiming Zhao An(1) Toda solitons: a relation between dressing transformations and vertex operators 275(16) H. Belich R. Paunov Generalized quadratic rings 291(10) Luiz Antonio Peresi The derivation algebra of a division composition algebra 301(12) J. M. Perez-Izquierdo On the structure of the simple Moufang loop GLL (F2) 313(8) M. L. Merlini Giuliani Cesar Polcino Milies Lie groups, differential geometry, and nonlinear integrable systems 321(16) A V. Razumov M. V. Saveliev Smooth quasigroups and loops. Recent achievements and open problems 337(8) L. V. Sabinin On smooth left square distributive quasigroup 345(4) Liudmila Sabinina Algebraic structure of transsymmetric spaces 349(8) L. V. Sbitneva Bernstein algebras whose lattice of ideals is distributive 357(8) C. Martinez J. Seto Speciality problem for Malcev algebras and Poisson Malcev algebras 365(8) Ivan P. Shestakov Applications of Lie ring methods to group theory 373(24) Pavel Shumyatsky Computable rings, groups and their isomorphisms 397(20) Bakhadyr Khoussainov Arkadii Slinko Quantum V-algebras 417(22) J. F. Gomes F. E. Mendonca da Silveira G. M. Sotkov A. H. Zimerman Conditions dexistence dune loi de Hardy-Weinberg periodique dans des populations selectivement neutres 439(8) C. Mallol R. Varro Finite semifields three-dimensional over the left nuclei 447(10) G. P. Wene Supplementing radicals of nonassociative rings 457 Richard Wiegandt
R. Costa, Henrique Guzzo Jr., A. Grichkov, L.A. Peresi,