On the Nilpotency in Matrix Algebras with Grassmann Entries

Rashkova, Tsetska. "On the Nilpotency in Matrix Algebras with Grassmann Entries." Serdica Mathematical Journal 38.1-3 (2012): 79-90. <http://eudml.org/doc/288269>.

@article{Rashkova2012,
abstract = {2010 Mathematics Subject Classification: 16R10, 15A75, 16S50.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.},
author = {Rashkova, Tsetska},
journal = {Serdica Mathematical Journal},
keywords = {Polynomial Identity; Upper Triangular Matrices; Nilpotent Commutators; Index of Nilpotency},
language = {eng},
number = {1-3},
pages = {79-90},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {On the Nilpotency in Matrix Algebras with Grassmann Entries},
url = {http://eudml.org/doc/288269},
volume = {38},
year = {2012},
}

TY - JOUR
AU - Rashkova, Tsetska
TI - On the Nilpotency in Matrix Algebras with Grassmann Entries
JO - Serdica Mathematical Journal
PY - 2012
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 38
IS - 1-3
SP - 79
EP - 90
AB - 2010 Mathematics Subject Classification: 16R10, 15A75, 16S50.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.
LA - eng
KW - Polynomial Identity; Upper Triangular Matrices; Nilpotent Commutators; Index of Nilpotency
UR - http://eudml.org/doc/288269
ER -