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Type: Artigo de periódico
Title: On Double-struck Capital Z(n)-graded Identities Of Block-triangular Matrices
Author: Centrone
Lucio; de Mello
Thiago Castilho
Abstract: The algebra of matrices over a field has a natural -grading. Its graded identities have been described by Vasilovsky who extended a previous work of Di Vincenzo for the algebra of matrices. In this paper, we study the graded identities of block-triangular matrices with the grading inherited by the grading of . We show that its graded identities follow from the graded identities of and from its monomial identities of degree up to . In the case of blocks of sizes and 1, we give a complete description of its monomial identities and exhibit a minimal basis for its -ideal.
Subject: Graded Identities
Codimension Growth
Associative Algebras
Infinite Field
Citation: On Double-struck Capital Z(n)-graded Identities Of Block-triangular Matrices. Taylor & Francis Ltd, v. 63, p. 302-313 FEB-2015.
Rights: embargo
Identifier DOI: 10.1080/03081087.2013.865733
Date Issue: 2015
Appears in Collections:Unicamp - Artigos e Outros Documentos

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