Vyacheslav SOROKA
Institute for Theoretical Physics,
NSC Kharkov Insitute of  Physics and Technology,
1 Akademicheskaya Str.,
61108 Kharkov, UKRAINE
E-mail: vsoroka@kipt.kharkov.ua

Generalization of the Schouten-Nijenhuis bracket

The Schouten-Nijenhuis bracket is generalized for the superspace case and for the Poisson brackets of opposite Grassmann parities. Quite a number of generalizations for the differential analog of the special Yang-Baxter equations is also proposed.