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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Displaying similar documents to “Lattice isomorphisms of alternative algebras”
Alternative algebras which are L-isomorphic to a central division Cayley-Dickson algebra of characteristic 2
Normalization of basic algebras
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.
Structure of Right Artinian Algebras over a Field
Michel Hacque (1994)
Publications du Département de mathématiques (Lyon)
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Nonassociative real H*-algebras.
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.
Moufang H*-algebras.
José Antonio Cuenca Mira (2002)
Extracta Mathematicae
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On maximal subalgebras of central simple Malcev algebras.
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]).
The Sheffer stroke operation reducts of basic algebras
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.
Mutations of C*-algebras and quasiassociative JB*-algebras
Angel Rodríguez-Palacios (1987)
Collectanea Mathematica
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Malcev h*-algebras.
M. Cabrera, J. Martínez Moreno, A. Rodríguez (1986)
Extracta Mathematicae
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