We consider an evolution algebra which corresponds to a bisexual population with a set of females partitioned into finitely many different types and the males having only one type. We study basic properties of the algebra. ...

We establish the equivalence between the problem of existence of associative bilinear forms and the problem of solvability in commutative power-associative finite-dimensional nil-algebras. We use the tensor product to find ...

Train algebras were introduced by Etherington in 1939 as an algebraic framework for treating genetic problems. The aim of this paper is to study the representations and irreducible representations of power-associative ...

Se definen las álgebras de Lusztig y sus dobles de Drinfeld, las cuánticas de potencias divididas, asociadas a álgebras de Nichols de tipo diagonal de dimensión finita. En ambos casos se prueba una presentación por ...

In this article we introduce the notion of multi-Koszul algebra for the case of a nonnegatively graded connected algebra with a finite number of generators of degree 1 and with a finite number of relations, as a generalization ...

We study commutative algebras which are generalizations of Jordan algebras. The associator is defined as usual by (x, y, z) = (x y)z - x(y z). The Jordan identity is (x2, y, x) = 0. In the three generalizations given below, ...

We extend the concept of commutative nilalgebras to commutative algebras which are not power associative. We shall study commutative algebras A over fields of characteristic ≠ 2, 3 which satisfy the identities x(x(xx)) = ...

Looking for generalize the results of [11] and [12] in this thesis began the study of more general algebras that G-algebras and homogeneous G-algebras, this leads us to study the Gelfand-Kirillov dimension, we opted this ...