15 citations · 71 across the 29 of their papers we have counts for
31 papers
Nonassociative gradings on infinite-dimensional triangular algebras
Plamen Koshlukov, Waldeck Schützer, Felipe Yasumura
We study group gradings on triangular algebras relative to a well-ordered basis, with multiplication . For , every grading on a finite-dimensio…
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.
Graded algebras with homogeneous involution and varieties of almost polynomial growth
Wesley Quaresma Cota, Felipe Yasumura
An important aspect in the theory of algebras with polynomial identities is the study of the asymptotic behavior of the codimension sequence which measures the…
On the PI-exponent of matrix algebras and algebras with generalized actions
Thiago Castilho de Mello, Felipe Yukihide Yasumura
We compute the PI-exponent of the matrix ring with coefficients in an associative algebra. As a consequence, we prove the following. Let be a PI-algebra with a positi…
Graded polynomial identities and Specht property for the Lie algebra of upper triangular matrices of order 3
Daniela Martinez Correa, Felipe Yukihide Yasumura
We compute the graded polynomial identities for the variety of graded algebras generated by the Lie algebra of upper triangular matrices of order 3 over an arbitrary field and endo…
Group gradings on exceptional simple Lie superalgebras
Sebastiano Argenti, Mikhail Kochetov, Felipe Yasumura
We classify up to isomorphism the gradings by arbitrary groups on the exceptional classical simple Lie superalgebras , and over an algebraically closed fiel…
On the asymptotic behaviour of the graded-star-codimension sequence of upper triangular matrices
Diogo Diniz, Felipe Yukihide Yasumura
We study the algebra of upper triangular matrices endowed with a group grading and a homogeneous involution over an infinite field. We compute the asymptotic behaviour of its (grad…
Group gradings on finite-dimensional incidence algebras. II
Helen Samara Dos Santos, Felipe Yukihide Yasumura
We complete the description of group gradings on finite-dimensional incidence algebras. Moreover, we classify the finite-dimensional graded algebras that can be realized as inciden…
Superpolynomial identities of finite-dimensional simple algebras
Yuri Bahturin, Felipe Yukihide Yasumura
We investigate the Grassmann envelope (of finite rank) of a finite-dimensional -graded algebra. As a result, we describe the polynomial identities of $G_1(\mathcal{A}…
Graded polynomial identities of the infinite-dimensional upper triangular matrices over an arbitrary field
Micael Said Garcia, Felipe Yukihide Yasumura
We compute the graded polynomial identities of the infinite dimensional upper triangular matrix algebra over an arbitrary field. If the grading group is finite, we prove that the s…
On star-homogeneous-graded polynomial identities of upper triangular matrices over an arbitrary field
Thiago Castilho de Mello, Felipe Yukihide Yasumura
We study the graded polynomial identities with a homogeneous involution on the algebra of upper triangular matrices endowed with a fine group grading. We compute their polynomial i…
Universal enveloping of a graded Lie algebra
Felipe Yukihide Yasumura
In this paper we construct a graded universal enveloping algebra of a -graded Lie algebra, where is not necessarily an abelian group. If the grading group is abelian, then i…
Group gradings on triangularizable algebras
Waldeck Schützer, Felipe Yukihide Yasumura
Classifying isomorphism classes of group gradings on algebras presents a compelling challenge, particularly within the realms of non-simple and infinite-dimensional algebras, which…
Homogeneous involution on graded division algebras and their polynomial identities
Felipe Yukihide Yasumura
In this short note, we describe the so-called homogeneous involution on finite-dimensional graded-division algebra over an algebraically closed field. We also compute their graded…
Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3
Felipe Yukihide Yasumura
We compute the graded polynomial identities and its graded codimension sequence for the elementary gradings of the Lie algebra of upper triangular matrices of order 3.
Gradings on the algebra of triangular matrices as a Lie algebra: revisited
Plamen Koshlukov, Felipe Yukihide Yasumura
We investigate the group gradings on the algebra of upper triangular matrices over an arbitrary field, viewed as a Lie algebra. These results were obtained a few years early by the…
Relatively free algebras of finite rank
Thiago Castilho de Mello, Felipe Yukihide Yasumura
Let be a field of characteristic zero and a finite dimensional associative superalgebra. In this paper we investigate the polynomial identities of the rela…
Degree-inverting involution on full square and triangular matrices
Lais S. da Fonseca, Ednei A. Santulo, Felipe Y. Yasumura
In this short note, we classify the degree-inverting involution on the full square and triangular matrices.
Group gradings on finite dimensional incidence algebras
Ednei A. Santulo, Jonathan P. Souza, Felipe Y. Yasumura
In this work, we classify the group gradings on finite-dimensional incidence algebras over a field, where the field has characteristic zero, or the characteristic is greater than t…