Browsing by Author "Labra, Alicia"
Now showing items 1-16 of 16
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(Universidad Catolica del Norte, 2016)In this paper we work with the variety of commutative algebras satisfying the identity β((x2y)x - ((yx)x)x)+γ(x3y - ((yx)x)x) = 0, where β, γ are scalars. They are called generalized almost-Jordan algebras. We prove that ...
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(Universidad de Chile, 1987)
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(Marcel Dekker Inc., 1997)
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(Taylor and Francis Ltd., 2019)The affine group scheme of automorphisms of an evolution algebra ε with ε 2 is shown to lie in an exact sequence → D → Aut(E) → S, where D, diagonalizable, and S, constant, depend solely on the directed graph associated ...
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(2007)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, ...
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(2011)This paper deals with two varieties of commutative non-associative algebras. One variety satisfies Lx3+Lx3=0. The other variety satisfies Lx3=0. We prove that in either variety, any finitely generated algebra is nilpotent. ...
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(2007)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)) = ...
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(World Scientific Publishing Co. Pte Ltd, 2008)We study the variety of algebras A over a field of characteristic ≠ 2, 3, 5 satisfying the identities xy=yx and β ((xx)y)x-((yx)x)x + γ ((xx)x)y-((yx)x)x=0, where β, γ are scalars. We do not assume power-associativity. We ...
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(2007)The existence of idempotent elements in plenary train algebras of rank greater than 3, is an open problem to be solved. J. Carlos Gutierrez's results on plenary train algebras in Gutierrez (2000) are based on the underlying ...
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(2005)We shall study representations of algebras over fields of characteristic ≠ 2, 3 of dimension 4 which satisfy the identities xy - yx = 0, and ((xx)x)x = 0. In these algebras the multiplication operator was shown to be ...
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(2013)Several classes of baric algebras studied by different authors will be given a unified treatment, using the technique of gametization. Most of these algebras will be shown, using straightforward arguments, to be either ...
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(2007)Gerstenhaber and Myung (1975) classified all commutative, power-associative nilalgebras of dimension 4. In this article we extend Gerstenhaber and Myung's results by giving a classification of commutative right-nilalgebras ...
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(2002)We study conditions under which the identity ((xx)x)x = 0 in a commutative nonassociative algebra A implies Rx is nil-potent where Rx is the multiplication operator Rx(y) = xy for all y in A. The separate conditions that ...
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(Taylor and Francis Inc., 2015)© 2015, Copyright Taylor & Francis Group, LLC. This paper deals with the variety of commutative algebras satisfying the identity β{(yx <sup>2</sup>)x − ((yx)x)x} + γ{yx <sup>3</sup> − ((yx)x)x} = ...
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(2005)We give a characterization of the representations on train algebras of rank 3. We prove that the subalgebra of the algebra of endomorphisms of a module generated by the representation of the nil ideal of the algebra is ...
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(Universidad Catolica del Norte, 2010)We study commutative right-nilalgebras of right-nilindex four satisfying the identity (b(aa))a = b((aa)a). Ourmainresultisthatthese algebras are solvable and not necessarily nilpotent. Our results require characteristic 6≠2, 3, 5.
