# On the Nilpotency in Matrix Algebras with Grassmann Entries

Serdica Mathematical Journal (2012)

- Volume: 38, Issue: 1-3, page 79-90
- ISSN: 1310-6600

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topRashkova, 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 -

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