4 papers
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 an evolution algebra with and a…
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…
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…
On the definition of nucleus for dialgebras
Juana Sánchez-Ortega
Malcev dialgebras have been introduced recently by Bremner, Peresi and Sánchez-Ortega. In the present paper, we continue their study by introducing the notion of the generalized al…