On DOUBLE-STRUCK CAPITAL Z(n)-graded identities of block-triangular matrices

Autor(es)

Centrone, Lucio ^[1] ; de Mello, Thiago Castilho ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, Campinas, SP - Brazil

^[2] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: LINEAR & MULTILINEAR ALGEBRA; v. 63, n. 2, p. 302-313, FEB 1 2015.
• Citações Web of Science: 4

Resumo

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. (AU)

• Processo FAPESP: 12/16838-0 - Superposto básico e subvariedades de álgebras T-primas.
• Beneficiário: Thiago Castilho de Mello
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado