Non-Associative Algebra and Its Applications

Front Matter....Pages i-xii
Malcev Superalgebras....Pages 1-7
The First Tits Construction of Albert Algebras over Locally Ringed Spaces....Pages 8-11
The Identity ( X 2 ) 2 = W ( X ) X 3 in Baric Algebras....Pages 12-16
Cayley-Klein Lie Algebras and Their Quantum Universal Enveloping Algebras....Pages 17-23
On Constructions of Nonsolvable Lie Algebras Whose Ideals are in Chain....Pages 24-30
Lie Algebras Graded by Root Systems....Pages 31-38
Bernstein Representations....Pages 39-45
On Free Differentials on Associative Algebras....Pages 46-53
On Primitive Jordan Banach Algebras....Pages 54-59
Zel’Manov’s Theorem for Nondegenerately Ultraprime Jordan-Banach Algebras....Pages 60-65
Jordan H*-Triple Systems....Pages 66-72
Prime Alternative Triple Systems....Pages 73-79
M-Ideals of Schreier Type and the Dunford-Pettis Property....Pages 80-85
Spectra of Elements of a Nonassociative Algebra....Pages 86-92
Ranges of Elements of a Nonassociative Algebra....Pages 93-98
Coordinatization of Jordan Algebras over Locally Ringed Spaces....Pages 99-105
Sur La Décomposition de Peirce....Pages 106-113
On Transitive Left-Symmetric Algebras....Pages 114-121
Spectral Study of Some Topological Jordan Algebras....Pages 122-127
Representations of Reduced Enveloping Algebras....Pages 128-132
A Cohomological Characterization of Solvable Modular Lie Algebras....Pages 133-139
An Extension of the Zel’Manov-Goldie Theorem....Pages 140-146
On the Unitarization of Highest Weight Representations for Affine Kac-Moody Algebras....Pages 147-152
Cohn’s Theorem for Superalgebras....Pages 153-157
On Bernstein Algebras of n-th Order....Pages 158-163
On Bernstein Algebras....Pages 164-170
Realization of Lie Algebras with Polynomial Vector Fields....Pages 171-175
Les Algèbres de Kac-Moody et L’Homologie Dièdrale....Pages 176-178
Quadratic Differential Equations in Graded Algebras....Pages 179-182
Projective Double Lie Algebras on a Lie Algebra....Pages 183-187
On Derivation Algebras of Group Algebras....Pages 188-192
J-Diviseurs Topologiques de Zéro Dans Une Algèbre de Jordan N.C. Normée....Pages 193-197
On Freudenthal-Kantor Triple Systems and Generalized Structurable Algebras....Pages 198-203
Hermitian Jordan Triple Systems and the Automorphisms of Bounded Symmetric Domains....Pages 204-214
Quadratic Differential Equations on Graded Structures....Pages 215-218
A Generalization of Novikov Rings....Pages 219-222
Automorphismes et Dérivations Dans Les Algèbres de Barker....Pages 223-228
Lattice Isomorphisms of Jordan Algebras over Arbitrary Fields....Pages 229-234
Multibaric Algebras....Pages 235-240
The Bernstein Problem in Mathematical Genetics and Bernstein Algebras....Pages 241-244
Les Algèbres de Mutation....Pages 245-250
Non Associative Graded Algebras....Pages 251-256
Tracial Elements for Nonassociative H*-Algebras....Pages 257-268
On Lattice Isomorphism of Bernstein Algebras....Pages 269-274
Bernstein Algebras Whose Lattice Ideals is Linear....Pages 275-278
Local Algebras....Pages 279-284
Applications of Fox Differential Calculus to Free Lie Superalgebras....Pages 285-290
On the Cohomology for the Witt Algebra W(1,1)....Pages 291-295
3-Graded Lie Algebras and Jordan Pairs....Pages 296-299
Super-Triple Systems, Normal and Classical Yang-Baxter Equations....Pages 300-308
A Conjecture on Locally Novikov Algebras....Pages 309-313
Coalgebra, Cocomposition and Cohomology....Pages 314-322
Minimal Polynomial Identities of Baric Algebras....Pages 323-329
On Power Associative Composition Algebras....Pages 330-333
Enumeration and Classification of Albert Algebras: Reduced Models and the Invariants Mod 2....Pages 334-340
Composition Algebras over Open Dense Subschemes of Curves of Genus Zero....Pages 341-343
Simple Jordan Superalgebras....Pages 344-349
Absolute Valued Algebras of Degree Two....Pages 350-356
On a Generalization of the Jordan Inverse....Pages 357-360
On Geodesic Loops of Trans-Symmetric Spaces....Pages 361-366
Quadratic Systems, Blow-Up, and Algebras....Pages 367-371
Quantization of Poisson Superalgebras and Speciality of Jordan Poisson Superalgebras....Pages 372-378
Duplicated Algebras of Algebras....Pages 379-383
Introduction Aux Algèbres de Bernstein Pèriodiques....Pages 384-388
Random Jordan Derivations....Pages 389-394
Random Derivations on H * -Algebras....Pages 395-399
Algebras of Rank Three....Pages 400-404
Inner Product Characterizations of Classical Cayley-Dickson Algebras....Pages 405-409
Sur Les ℝ-Algèbres de Jordan Non Commutatives, de Division, de Dimension 8, Possédant Un Automorphisme Ou Une Dérivation Non Triviaux....Pages 410-416