Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/85236
Type: Artigo
Title: On ℤn-graded identities of block-triangular matrices
Author: Centrone, Lucio
Mello, Thiago Castilho de
Abstract: The algebra of (Formula presented.) matrices over a field (Formula presented.) has a natural (Formula presented.) -grading. Its graded identities have been described by Vasilovsky who extended a previous work of Di Vincenzo for the algebra of (Formula presented.) matrices. In this paper, we study the graded identities of block-triangular matrices with the grading inherited by the grading of (Formula presented.). We show that its graded identities follow from the graded identities of (Formula presented.) and from its monomial identities of degree up to (Formula presented.). In the case of blocks of sizes (Formula presented.) and 1, we give a complete description of its monomial identities and exhibit a minimal basis for its (Formula presented.) -ideal.
The algebra of n × n matrices over a field F has a natural Zn-grading. Its graded identities have been described by Vasilovsky who extended a previous work of Di Vincenzo for the algebra of 2 × 2 matrices. In this paper, we study the graded identities of
Subject: Álgebras graduadas
Identidades polinomiais graduadas
Matrizes triangulares superiores
Country: Inglaterra
Editor: Taylor & Francis
Citation: Linear And Multilinear Algebra. Taylor And Francis Ltd., v. 63, n. 2, p. 302 - 313, 2015.
Rights: fechado
fechado
Identifier DOI: 10.1080/03081087.2013.865733
Address: https://www.tandfonline.com/doi/full/10.1080/03081087.2013.865733
Date Issue: 2015
Appears in Collections:IMECC - Artigos e Outros Documentos

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