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.RA2025
Polynomial identities of finite prime Universal algebras
Yuri Bahturin, Daniela Martinez Correa, Diogo Diniz +1
We prove that two finite prime -algebras defined over the same unital commutative ring and satisfying the same set of polynomial identities are isomorphic.