# On some recent results about the graded Gelfand-Kirillov dimension of graded PI-algebras

Serdica Mathematical Journal (2012)

- Volume: 38, Issue: 1-3, page 43-68
- ISSN: 1310-6600

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topCentrone, Lucio. "On some recent results about the graded Gelfand-Kirillov dimension of graded PI-algebras." Serdica Mathematical Journal 38.1-3 (2012): 43-68. <http://eudml.org/doc/288274>.

@article{Centrone2012,

abstract = {2010 Mathematics Subject Classification: 16R10, 16W55, 15A75.We survey some recent results on graded Gelfand-Kirillov dimension of PI-algebras over a field F of characteristic 0. In particular, we focus on verbally prime algebras with the grading inherited by that of Vasilovsky and upper triangular matrices, i.e., UTn(F), UTn(E) and UTa,b(E), where E is the infinite dimensional Grassmann algebra.},

author = {Centrone, Lucio},

journal = {Serdica Mathematical Journal},

keywords = {Graded PI-algebras; Gelfand-Kirillov Dimension},

language = {eng},

number = {1-3},

pages = {43-68},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {On some recent results about the graded Gelfand-Kirillov dimension of graded PI-algebras},

url = {http://eudml.org/doc/288274},

volume = {38},

year = {2012},

}

TY - JOUR

AU - Centrone, Lucio

TI - On some recent results about the graded Gelfand-Kirillov dimension of graded PI-algebras

JO - Serdica Mathematical Journal

PY - 2012

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 38

IS - 1-3

SP - 43

EP - 68

AB - 2010 Mathematics Subject Classification: 16R10, 16W55, 15A75.We survey some recent results on graded Gelfand-Kirillov dimension of PI-algebras over a field F of characteristic 0. In particular, we focus on verbally prime algebras with the grading inherited by that of Vasilovsky and upper triangular matrices, i.e., UTn(F), UTn(E) and UTa,b(E), where E is the infinite dimensional Grassmann algebra.

LA - eng

KW - Graded PI-algebras; Gelfand-Kirillov Dimension

UR - http://eudml.org/doc/288274

ER -

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