No abstract

Communicated by I. P. ShestakovIn this paper, we first discuss the nilpotency of restricted Lie triple systems and the condition of existence of p-mappings on Lie triple systems. Second, we devote our attention to prove the uniqueness of the decomposition as a direct sum of p-ideals of a restricted Lie triple system. Finally, we study how a quasi-toral restricted Lie triple system T with zero center and of minimal dimension should be.

We construct the generalized Witt modular Lie superalgebraW of Cartan type. We give a set of generators forW and show thatW is an extension of a subalgebra ofW by an ideal J. Finally, we describe the homogeneous derivations of Z-degree ofW and we determine the derivation superalgebra ofW.2010 Mathematics subject classification: primary 17B50.

No abstract