2 papers
math.RA2026
Finite basis property for finite graded algebras
Yuri Bahturin, Daniela Martinez Correa, Diogo Diniz
Let be a finite group and let $\F$ be a finite field. We prove that any finite-dimensional -graded associative algebra over $\F$ has a finite basis for its -graded po…
math.RA2026
Graded identities for matrix algebras of order two over a finite field
Diogo Diniz, Eduardo Pinto da Fonsêca, Luis Filipe Ramos
Let be an arbitrary group and let be a finite field. In this paper, we determine bases for the -ideals of graded polynomial identities of the algebra $M_2(\ma…