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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…
math.RA2015
Graded identities of simple real graded division algebras
Yuri Bahturin, Diogo Diniz Pereira da Silva e Silva
Let A and B be finite dimensional simple real algebras with division gradings by an abelian group G. In this paper we give necessary and sufficient conditions for the coincidence o…