Graded polynomial identities for the upper triangular matrix algebra over a finite field

Autor:	Evandro Riva, Dimas José Gonçalves
Rok vydání:	2020
Předmět:	Polynomial Algebra and Number Theory Group (mathematics) 010102 general mathematics Graded ring Triangular matrix 01 natural sciences Algebra Set (abstract data type) Finite field Linear basis 0103 physical sciences 010307 mathematical physics 0101 mathematics Algebra over a field Mathematics
Zdroj:	Journal of Algebra. 559:625-645
ISSN:	0021-8693
DOI:	10.1016/j.jalgebra.2020.05.008
Popis:	Let K be a finite field and let U T n ( K ) be the algebra of n × n upper triangular matrices over K . In this paper we describe the set of all G-graded polynomial identities of U T n ( K ) , where G is any group. Moreover, we describe a linear basis for the corresponding relatively free graded algebra.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::85a85168dd349d25a9a9e3d12a61f895 https://doi.org/10.1016/j.jalgebra.2020.05.008 Zobrazit plný text záznamu Full Text from ScienceDirect