Geodesic
On the Nilpotency in Matrix Algebras with Grassmann Entries
Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 79-90

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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.
Keywords: Polynomial Identity, Upper Triangular Matrices, Nilpotent Commutators, Index of Nilpotency 
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     title = {On the {Nilpotency} in {Matrix} {Algebras} with {Grassmann} {Entries}},
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Rashkova, Tsetska. On the Nilpotency in Matrix Algebras with Grassmann Entries. Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 79-90. http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a5/