Alternative algebras which are L-isomorphic to a central division Cayley-Dickson algebra of characteristic 2
Jesús A. Laliena (1988)
Extracta Mathematicae
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Jesús A. Laliena (1988)
Extracta Mathematicae
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Miroslav Kolařík (2008)
Discussiones Mathematicae - General Algebra and Applications
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We consider algebras determined by all normal identities of basic algebras. For such algebras, we present a representation based on a q-lattice, i.e., the normalization of a lattice.
Michel Hacque (1994)
Publications du Département de mathématiques (Lyon)
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Miguel Cabrera, José Martínez Aroza, Angel Rodríguez Palacios (1988)
Publicacions Matemàtiques
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We prove that, if A denotes a topologically simple real (non-associative) H*-algebra, then either A is a topologically simple complex H*-algebra regarded as real H*-algebra or there is a topologically simple complex H*-algebra B with *-involution τ such that A = {b ∈ B : τ(b) = b*}. Using this, we obtain our main result, namely: (algebraically) isomorphic topologically simple real H*-algebras are actually *-isometrically isomorphic.
José Antonio Cuenca Mira (2002)
Extracta Mathematicae
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Alberto C. Elduque Palomo (1986)
Extracta Mathematicae
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In this paper the structure of the maximal elements of the lattice of subalgebras of central simple non-Lie Malcev algebras is considered. Such maximal subalgebras are studied in two ways: first by using theoretical results concerning Malcev algebras, and second by using the close connection between these simple non-Lie Malcev algebras and the Cayley-Dickson algebras, which have been extensively studied (see [4]).
Tahsin Oner, Ibrahim Senturk (2017)
Open Mathematics
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In this study, a term operation Sheffer stroke is presented in a given basic algebra 𝒜 and the properties of the Sheffer stroke reduct of 𝒜 are examined. In addition, we qualify such Sheffer stroke basic algebras. Finally, we construct a bridge between Sheffer stroke basic algebras and Boolean algebras.
Angel Rodríguez-Palacios (1987)
Collectanea Mathematica
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M. Cabrera, J. Martínez Moreno, A. Rodríguez (1986)
Extracta Mathematicae
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Murray R. Bremner, Irvin R. Hentzel, Luiz A. Peresi, Marina V. Tvalavadze, Hamid Usefi (2010)
Commentationes Mathematicae Universitatis Carolinae
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We first discuss the construction by Pérez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit structure constants for the universal enveloping algebras (both nonassociative and alternative) of the 4-dimensional solvable Malcev algebra and the 5-dimensional nilpotent Malcev algebra. We include a proof (due to Shestakov) that the universal alternative enveloping algebra of the real 7-dimensional simple...