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Representation type of Jordan algebras
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2011)
The problem of classification of Jordan bit-nodules over (non-semisimple) finite dimensional Jordan algebras with respect to their representation type is considered. The notions of diagram of a Jordan algebra and of Jordan ...
JORDAN BIMODULES OVER THE SUPERALGEBRAS P(n) AND Q(n)
(AMER MATHEMATICAL SOC, 2010)
We extend the Jacobson's Coordinatization theorem to Jordan superalgebras. Using it we classify Jordan bimodules over superalgebras of types Q(n) and JP(n), n >= 3. Then we use the Tits-Kantor-Koecher construction and ...
Generalized Jordan algebras
(2007)
We study commutative algebras which are generalizations of Jordan algebras. The associator is defined as usual by (x, y, z) = (x y)z - x(y z). The Jordan identity is (x2, y, x) = 0. In the three generalizations given below, ...
Representations of the super Jordan plane
(Springer International, 2017-08)
It is shown that the finite-dimensional simple representations of the superJordan plane B are one-dimensional. The indecomposable representations of dimension 2 and 3 of B are classified. Two families of indecomposable ...
Carta enviada por Justo Jordán a Santiago Arroyo
(1827-04)
Carta enviada por Justo Jordan a Santiago Arroyo sobre manejo de cuentas. Incluye: relación de gastos del segundo trimestre. Fechadas en Popayán.
Algebra Casi-Jordan GeneralizadasGeneralized Almost-Jordan algebrasAlgebra casi-jordan generalizadasgeneralized almost-jordan algebras
(2005)
En este trabajo estudiamos la estructura de una generalización de la álgebras casi- Jordan generalizadas.
The Wedderburn principal theorem for generalized almost-Jordan algebras
(2007)
We study commutative algebras A over fields of characteristic ≠2, 3 which satisfy the identity β{x(y(xx)) - x(x(xy))} + γ{y(x(xx)) - x(x(xy))} = 0. We do not assume power-associativity. We find the Peirce decomposition of ...
Alma Jordan Library
(2011-09-27)