Defining relations and identities of finite-generated nilpotent algebra R with condition dim RSUPN/SUP/RSUPN+1/SUP=2

摘要

In this paper we describe defining relations of s-generated nilpotent algebra R over arbitrary field with condition dim R N /R N+1 = 2 for some natural number N ≥ 3. It is proved that such algebra R over a field of characteristic not two satisfies the standard identity of degree N + 2 if s ≥ N, or the standard identity of smaller degree than N if s N .