Non-Associative Algebra and Its Applications

Inhaltsverzeichnis

• Malcev superalgebras.
• The first Tits construction of Albert algebras over locally ringed spaces.
• The identity (x2)2 = ?(x)x3 in baric algebras.
• Cayley-Klein Lie algebras and their quantum universal enveloping algebras.
• On constructions of nonsolvable Lie algebras whose ideals are in chain.
• Lie algebras graded by root systems.
• Bernstein representations.
• On free differentials on associative algebras.
• On primitive Jordan Banach algebras.
• Zel’manov’s theorem for nondegenerately ultraprime Jordan-Banach algebras.
• Jordan H*-triple systems.
• Prime alternative triple systems.
• M-ideals of Schreier type and the Dunford-Pettis property.
• Spectra of elements of a nonassociative algebra.
• Ranges of elements of a nonassociative algebra.
• Coordinatization of Jordan algebras over locally ringed spaces.
• Sur la décomposition de Peirce.
• On transitive left-symmetric algebras.
• Spectral study of some topological Jordan algebras.
• Representations of reduced enveloping algebras.
• A cohomological characterization of solvable modular Lie algebras.
• An extension of the Zel’manov-Goldie theorem.
• On the unitarization of highest weight representations for affine Kac-Moody algebras.
• Cohn’s theorem for superalgebras.
• On Bernstein algebras of n-th order.
• On Bernstein algebras.
• Realization of Lie algebras with polynomial vector fields.
• Les algèbres de Kac-Moody et l’homologie dièdrale.
• Quadratic differential equations in graded algebras.
• Projective double Lie algebras on a Lie algebra.
• On derivation algebras of group algebras.
• J-diviseurs topologiques de zéro dans une algèbre de Jordan n. c. normée.
• On Freudenthal-Kantor triple systems and generalized structurable algebras.
• Hermitian Jordan triple systems and the automorphisms of bounded symmetric domains.
• Quadratic differential equations on graded structures.
• A generalization of Novikov rings.
• Automorphismes et dérivations dans les algèbres de Barker.
• Lattice isomorphisms of Jordan algebras over arbitrary fields.
• Multibaric algebras.
• The Bernstein Problem in mathematical genetics and Bernstein algebras.
• Les algèbres de mutation.
• Non associative graded algebras.
• Tracial elements for nonassociative H*-algebras.
• On lattice isomorphism of Bernstein algebras.
• Bernstein algebras whose lattice ideals is linear.
• Local algebras.
• Applications of fox differential calculus to free Lie superalgebras.
• On the cohomology for the Witt algebra w(1,1).
• 3-graded Lie algebras and Jordan pairs.
• Super-triple systems, normal and classical Yang-Baxter equations.
• A conjecture on locally Novikov algebras.
• Coalgebra, cocomposition and cohomology.
• Minimal polynomial identities of bark algebras.
• On power associative composition algebras.
• Enumeration and classification of Albert algebras: reduced models and the invariants mod 2.
• Composition algebras over open dense subschemes of curves of genus zero.
• Simple Jordan superalgebras.
• Absolute valued algebras of degree two.
• On a generalization of the Jordan inverse.
• On geodesic loops of trans-symmetric space.
• Quadratic systems, blow-up, and algebras.
• Quantization of Poisson superalgebras and speciality of Jordan Poisson superalgebras.
• Duplicated algebras of algebras.
• aux algèbres de Bernstein périodiques.
• Randon Jordan derivations.
• Randon derivations on H*-algebras.
• Algebras of rank three.
• Inner product characterizations of classical Cayley-Dickson algebras.
• Sur les ?-algèbras de Jordan non commutatives, de division, de dimension 8, possédant un automorphisme ou une dérivation non triviaux.