| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, Campinas, SP - Brazil
[2] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | LINEAR & MULTILINEAR ALGEBRA; v. 63, n. 2, p. 302-313, FEB 1 2015. |
| Web of Science Citations: | 4 |
| 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. (AU) | |
| FAPESP's process: | 12/16838-0 - Basic superrank and subvarieties of T-prime algebras. |
| Grantee: | Thiago Castilho de Mello |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |