With the help of Rota-Baxter operators and Grobner-Shirshov bases,we prove that every pre-Lie algebra can be injectively embedded into its universal enveloping preassociative algebra.
基金supported by the Austrian Science Foundation FWF grant P28079.
文摘With the help of Rota-Baxter operators and Grobner-Shirshov bases,we prove that every pre-Lie algebra can be injectively embedded into its universal enveloping preassociative algebra.
