منابع مشابه
Additivity of Jordan Triple Product Homomorphisms on Generalized Matrix Algebras
In this article, it is proved that under some conditions every bijective Jordan triple product homomorphism from generalized matrix algebras onto rings is additive. As a corollary, we obtain that every bijective Jordan triple product homomorphism from Mn(A) (A is not necessarily a prime algebra) onto an arbitrary ring R is additive.
متن کاملJordan Derivations and Antiderivations of Generalized Matrix Algebras
Let G = [ A M N B ] be a generalized matrix algebra defined by the Morita context (A,B,A MB,B NA,ΦMN ,ΨNM) . In this article we mainly study the question of whether there exist the so-called “proper” Jordan derivations for the generalized matrix algebra G . It is shown that if one of the bilinear pairings ΦMN and ΨNM is nondegenerate, then every antiderivation of G is zero. Furthermore, if the ...
متن کاملGeneralized Conformal and Superconformal Group Actions and Jordan Algebras
We study the “conformal groups” of Jordan algebras along the lines suggested by Kantor. They provide a natural generalization of the concept of conformal transformations that leave 2-angles invariant to spaces where “p-angles” (p ≥ 2) can be defined. We give an oscillator realization of the generalized conformal groups of Jordan algebras and Jordan triple systems. A complete list of the general...
متن کاملEuclidean Jordan Algebras and Generalized Aane-scaling Vector Elds
We describe the phase portrait of generalized aane-scaling vector elds for optimization problems involving symmetric cones. A Poisson structure on the complexiication of a real Jordan Euclidean algebra is introduced. Nonconstrained aane-scaling vector elds are proved to be Hamiltonian with respect to this Poisson structure. Constrained aane-scaling vector elds are obtained as a symplectic reduc...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2007
ISSN: 0024-3795
DOI: 10.1016/j.laa.2006.10.028