3 papers
math.NT2026
Matrix representations and arithmetic properties of jacobsthal numbers via binary 3x3 matrices
Wilson Arley Martinez, Samin Ingrith Ceron
We study matrix representations of the Jacobsthal sequence generated by binary 3x3 matrices with determinants 0, 2, and -2, using linear algebraic methods analogous to Fibonacci-ty…
math.NT2025
Binary matrices of order 3 associated with the Pell sequence
Wilson Arley Martinez, Samin Ingrid Ceron
In this paper, we construct Pell matrices, analogous to Fibonacci matrices, to study algebraic properties of Pell numbers via linear algebra. This framework yields identities invol…
math.RA2023
Construction of some non-associative algebras from Associative Algebras with an endomorphism operator, a differential operator or a left averaging operator
Wilson Arley Martinez, Samin Ingrith Ceron
In this paper, we introduce the concepts of endomorphism operator, left averaging operator, differential operator and Rota-Baxter Operator, and we construct examples of these linea…