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Type: Artigo
Title: On Z(2)-graded identities of Ut2(e) and their growth
Author: Centrone, Lucio
Tomaz da Silva, Viviane Ribeiro
Abstract: Let F be an infinite field of characteristic different from two and E be the infinite dimensional Grassmann algebra over F. We consider the upper triangular matrix algebra UT2(E) with entries in E endowed with the Z(2)-grading inherited by the natural Z(2)-grading of E and we study its ideal of Z(2)-graded polynomial identities (T-Z2-ideal) and its relatively free algebra. In particular we show that the set of Z(2)-graded polynomial identities of UT2(E) does not depend on the characteristic of the field. Moreover we compute the Z(2)-graded Hilbert series of UT2(E) and its Z(2)-graded Gelfand-Kirillov dimension
Subject: Matrizes triangulares superiores
Álgebra de Grassmann
Country: Estados Unidos
Editor: Elsevier
Rights: Fechado
Identifier DOI: 10.1016/j.laa.2014.12.035
Date Issue: 2015
Appears in Collections:IMECC - Artigos e Outros Documentos

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