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Title: On the Nilpotency in Matrix Algebras with Grassmann Entries
Authors: Rashkova, Tsetska
Keywords: Polynomial Identity
Upper Triangular Matrices
Nilpotent Commutators
Index of Nilpotency
Issue Date: 2012
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 38, No 1-3, (2012), 79p-90p
Abstract: 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.
Description: 2010 Mathematics Subject Classification: 16R10, 15A75, 16S50.
ISSN: 1310-6600
Appears in Collections:Volume 38, Number 1-3

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