Browsing by Author "201-0078372"

Now showing items 1-8 of 8

    • Birrepresentations in a locally nilpotent variety 
      Arenas Carmona, Manuel Camilo; Labra Jeldres, Alicia (Universidad Católica del Norte, 2014)
      It is known that commutative algebras satisfying the identity of degree four ((yx)x)x +γy((xx)x) = 0, with γ in the field and γ 6= −1 are locally nilpotent. In this paper we study the birrepresentations of an algebra A ...
    • Evolution algebras and graphs 
      Elduque, Alberto; Labra Jeldres, Alicia (World Scientific Publ, 2015)
      A digraph is attached to any evolution algebra. This graph leads to some new purely algebraic results on this class of algebras and allows for some new natural proofs of known results. Nilpotency of an evolution algebra ...
    • Irreducible Representations of Power-associative Train Algebras 
      Behn Von Schmieden, Antonio; Labra Jeldres, Alicia; Reyes Molina, Cristian (2015)
      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 ...
    • Nilpotency of commutative finitely generated algebras satisfying L(x)(3) + gamma L(x)(3)=0, gamma=1, 0 
      Correa, Iván; Hentzel, Irvin Roy; Labra Jeldres, Alicia (ELSEVIER, 2011-03-15)
      This paper deals with two varieties of commutative non-associative algebras. One variety satisfies L(x)(3) + L(x)(3) = 0. The other variety satisfies L(x)(3) = 0. We prove that in either variety, any finitely generated ...
    • On nilpotent evolution algebras 
      Elduque, Alberto; Labra Jeldres, Alicia (Elsevier, 2016)
      The type and several invariant subspaces related to the upper annihilating series of finite-dimensional nilpotent evolution algebras are introduced. These invariants can be easily computed from any natural basis. Some ...
    • On the classification of commutative right-nilalgebras of nilindex 5 and dimension 4 
      Elduque, Alberto; Labra Jeldres, Alicia (TAYLOR & FRANCIS INC, 2008-05)
      Gerstenhaber and Myung (1975) classified all commutative power-associative nilalgebras of dimension 4. In Elduque and Labra (2007), Gerstenhaber and Myung's results are generalized by giving a classification of commutative ...
    • Representations of Generalized Almost-Jordan Algebras 
      Flores, Marcelo; Labra Jeldres, Alicia (Taylor & Francis, 2015)
      This paper deals with the variety of commutative algebras satisfying the identity {(yx2)x − ((yx)x)x} + {yx3 − ((yx)x)x} = 0 where , are scalars. These algebras appeared as one of the four fam- ilies of degree ...
    • REPRESENTATIONS OF RANK 3 ALGEBRAS 
      Benkart, Georgia; Labra Jeldres, Alicia (TAYLOR & FRANCIS INC, 2006)
      The class of rank 3 algebras includes the Jordan algebra of a symmetric bilinear form, the trace zero elements of a Jordan algebra of degree 3, pseudo-composition algebras, certain algebras that arise in the study of Riccati ...