Polynomial Identity Upper Triangular Matrices Nilpotent Commutators Index of Nilpotency
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 38, No 1-3, (2012), 79p-90p
In the paper we consider some classes of subalgebras of Mn(E) (for a given n and any n) for E being the Grassmann algebra. We give an estimation of the index of nilpotency of the commutators of length 2 for these classes of matrix algebras.