Two-dimensional real division algebras revisited.
Hübner, Marion, Petersson, Holger P. (2004)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “1, 2, 4, 8,... What comes next?”
Two-dimensional real division algebras revisited.
Some properties of octonion and quaternion algebras.
Flaut, Cristina (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Classification of 4-dimensional nilpotent complex Leibniz algebras.
Sergio Albeverio, Bakhrom A. Omirov, Isamiddin S. Rakhimov (2006)
Extracta Mathematicae
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Dual commutative hyper K-ideals of type 1 in hyper K-algebras of order 3.
L. Torkzadeh, M. M. Zahedi (2006)
Mathware and Soft Computing
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In this note we classify the bounded hyper K-algebras of order 3, which have D = {1}, D = {1,2} and D = {0,1} as a dual commutative hyper K-ideal of type 1. In this regard we show that there are such non-isomorphic bounded hyper K-algebras.
Dissident algebras
Ernst Dieterich (1999)
Colloquium Mathematicae
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Given a euclidean vector space V = (V,〈〉) and a linear map η: V ∧ V → V, the anti-commutative algebra (V,η) is called dissident in case η(v ∧ w) ∉ ℝv ⊕ ℝw for each pair of non-proportional vectors (v,w) ∈ . For any dissident algebra (V,η) and any linear form ξ: V ∧ V → ℝ, the vector space ℝ × V, endowed with the multiplication (α,v)(β,w) = (αβ -〈v,w〉+ ξ(v ∧ w), αw + βv + η(v ∧ w)), is a quadratic division algebra. Up to isomorphism, each real quadratic division algebra arises in this...
Application of the Gel'fand matrix method to the missing label problem in classical kinematical Lie algebras.
Campoamor-Stursberg, Rutwig (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Convex combinations of unitaries in -algebras.
Siddiqui, Akhlaq A. (2011)
The New York Journal of Mathematics [electronic only]
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The -function in -algebras.
Siddiqui, Akhlaq A. (2011)
The New York Journal of Mathematics [electronic only]
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Involution Matrix Algebras – Identities and Growth
Rashkova, Tsetska (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 16R50, 16R10. The paper is a survey on involutions (anti-automorphisms of order two) of different kinds. Starting with the first systematic investigations on involutions of central simple algebras due to Albert the author emphasizes on their basic properties, the conditions on their existence and their correspondence with structural characteristics of the algebras. Focusing on matrix algebras a complete description of involutions of...
An identity in Rota-Baxter algebras.
Díaz, Rafael, Páez, Marcelo (2006)
Séminaire Lotharingien de Combinatoire [electronic only]
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Cartan matrices of selfinjective algebras of tubular type
Jerzy Białkowski (2004)
Open Mathematics
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The Cartan matrix of a finite dimensional algebra A is an important combinatorial invariant reflecting frequently structural properties of the algebra and its module category. For example, one of the important features of the modular representation theory of finite groups is the nonsingularity of Cartan matrices of the associated group algebras (Brauer’s theorem). Recently, the class of all tame selfinjective algebras having simply connected Galois coverings and the stable Auslander-Reiten...