Juana S'anchez-Ortega

activity

20132021

most citedQuadratic nonsymmetric quaternary operads

2 citations · 2 across the 6 of their papers we have counts for

collaborators

6 papers

math.RA2021

Evolution algebras with one-dimensional square

Chad Brache, Dolores Martín Barquero, Cándido Martín González +1

Evolution algebras with one dimensional square are classified using the theory of inner product spaces. More precisely, for $A$ an evolution algebra with $dim (A^{2}) = 1$ and $a$ a…

math.RA2019

Ternary mappings of triangular algebras

Cándido Martín González, Dolores Martín Barquero, Juana Sánchez-Ortega +1

We take a categorical approach to describe ternary derivations and ternary automorphisms of triangular algebras. New classes of automorphisms and derivations of triangular algebras…

math.RA2016

Self-dual nonsymmetric operads with two binary operations

Murray Bremner, Juana Sánchez-Ortega

We consider nonsymmetric operads with two binary operations satisfying relations in arity 3; hence these operads are quadratic, and so we can investigate Koszul duality. We first c…

math.RA2015★ 2 cited

Quadratic nonsymmetric quaternary operads

Murray R. Bremner, Juana Sánchez-Ortega

We use computational linear algebra and commutative algebra to study spaces of relations satisfied by quadrilinear operations. The relations are analogues of associativity in the s…

math.RA2013

$σ$ -Mappings of triangular algebras

Juana Sánchez-Ortega

Let $A$ be an algebra and $σ$ an automorphism of $A$ . A linear map $d$ of $A$ is called a $σ$ -derivation of $A$ if $d (x y) = d (x) y + σ (x) d (y)$ , for all $x, y \in A$ . A linear map $D…