supported by NSF of China(11071187);Innovation Program of Shanghai Municipal Education Commission(09YZ336)
Non-commutative Poisson algebras are the algebras having both an associa- tive algebra structure and a Lie algebra structure together with the Leibniz law. In this paper, the non-commutative poisson algebra structures...
supported by NSFC (10871192);NSF of Hebei Province (A2010000194)
The notions of the nilpotent and the strong-nilpotent Leibniz 3-algebras are defined. And the three dimensional two-step nilpotent, strong-nilpotent Leibniz 3-algebras are classified.
This work is partially supported by NNSF of China(10671124);the Specialized Research Fund for the Doctoral Program of Higher Education(20040247024).
Noncommutative Poisson algebras are the algebras having both an associative algebra structure and a Lie algebra structure together with the Leibniz law. In this article,the noncommutative Poisson algebra structures on...