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math.RA2026
Identities and isomorphisms of finite graded matrix algebras
Diogo Diniz, Daniela Martinez Correa, Dimas José Gonçalves +1
Let be a finite field and let be a group such that every finite subgroup of is cyclic. In this paper we classify the division gradings by cyclic groups on matr…
math.RA2026
Group gradings, graded identities and central polynomials of algebras with almost polynomial -growth
Wesley Quaresma Cota, Daniela Martinez Correa
The finite-dimensional -algebras and $D_0=Fe_{22}+Fe_{33}+Fe_{12}+Fe_{13}+Fe_{14}+Fe_{23}+Fe_{24}+Fe_{34} \su…
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…