15 citations · 26 across the 22 of their papers we have counts for
30 papers
On the trace identities of 2-dimensional tr-prime algebras over a finite field
Lucio Centrone, Rosiele Trindade Barbosa, Felipe Yasumura
We study associative algebras endowed with a trace map. We classify the two-dimensional trace-prime algebras over an arbitrary field. In addition, when the base field is finite, fo…
A short note on the image of multilinear graded polynomials on matrix algebras
Italo Bauer Rodrigues da Silva, Felipe Yukihide Yasumura
We investigate the subspaces obtained by images of multilinear graded polynomials evaluated on the matrix algebra endowed with the canonical -grading, where denotes the…
A note on the image of graded multilinear polynomials on upper triangular matrices
Adison Timótio Silva, Felipe Yukihide Yasumura
We investigate the image of polynomials multilinear in graded variables evaluated on the algebra of upper triangular matrices endowed with a group grading. We show that, in general…
On nonmatrix varieties of associative rings
Thiago Castilho de Mello, Felipe Yukihide Yasumura
We study nonmatrix varieties of -algebras, where is a unital commutative ring. Our results extend to this generality known results for the case in which $\…
Direct limits of graded matrix algebras
Mikhail Kochetov, Felipe Yasumura
The direct limit of finite-dimensional semisimple associative algebras arises as a purely algebraic counterpart to important -algebras. In this paper, we classify direct li…
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.