On the standard identity in a finitely generated nilpotent algebra R over an arbitrary field with condition dim RSUPN/SUP/RSUPN+1/SUP=2

摘要

In this paper it is proved that s-generated nilpotent algebraR over arbitrary field with condition dimRN=RN+1 = 2 for some naturalnumber N 3 satisfies the standard identity of degree N + 2 if s N,or the standard identity of smaller degree than N if s N. The resultsof this article on a characteristic field other than 2 were obtained in aprevious work by the author, published in SEMR.