Please use this identifier to cite or link to this item:
|Title:||On Z(2)-graded identities of Ut2(e) and their growth|
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
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
Files in This Item:
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.