Moufang H*-algebras.
José Antonio Cuenca Mira (2002)
Extracta Mathematicae
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José Antonio Cuenca Mira (2002)
Extracta Mathematicae
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Angel Rodríguez-Palacios (1987)
Collectanea Mathematica
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Angel Rodriguez Palacios (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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M. Cabrera, J. Martínez Moreno, A. Rodríguez (1986)
Extracta Mathematicae
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Wiesław Dziobiak (1990)
Fundamenta Mathematicae
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Murray R. Bremner (2014)
Commentationes Mathematicae Universitatis Carolinae
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First, we provide an introduction to the theory and algorithms for noncommutative Gröbner bases for ideals in free associative algebras. Second, we explain how to construct universal associative envelopes for nonassociative structures defined by multilinear operations. Third, we extend the work of Elgendy (2012) for nonassociative structures on the 2-dimensional simple associative triple system to the 4- and 6-dimensional systems.
Vsevolod Yu. Gubarev, Pavel S. Kolesnikov (2014)
Commentationes Mathematicae Universitatis Carolinae
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This is an extended version of a talk presented by the second author on the Third Mile High Conference on Nonassociative Mathematics (August 2013, Denver, CO). The purpose of this paper is twofold. First, we would like to review the technique developed in a series of papers for various classes of di-algebras and show how the same ideas work for tri-algebras. Second, we present a general approach to the definition of pre- and post-algebras which turns out to be equivalent to the construction...
Flaut, Cristina (2003)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Angel Rodríguez Palacios (1994)
Banach Center Publications
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Introduction. The aim of this paper is to review some relevant results concerning the geometry of nonassociative normed algebras, without assuming in the first instance that such algebras satisfy any familiar identity, like associativity, commutativity, or Jordan axiom. In the opinion of the author, the most impressive fact in this direction is that most of the celebrated natural geometric conditions that can be required for associative normed algebras, when imposed on...