Basis of Identities of the Algebra of Simplified Insertions

We prove that all identities of the algebra of simplified insertions on countably many generators over a field of characteristic zero follow from the right-symmetric identity. We prove that bases of the free special Jordan algebra and the special algebra of simplified insertions coincide. We construct an infinite series of relations in the algebra of simplified insertions which hold for words of length k, k a natural nunmber.

S. Sverchkov < S. Sverchkov >

sverch@ribs.ru < sverch@ribs.ru >