Results 61 to 70 of about 61,116 (180)
Strongly non-degenerate Lie algebras [PDF]
, 2007 Let A be a semiprime 2 and 3-torsion free non-commutative associative algebra. We show that the Lie algebra Der(A) of(associative) derivations of A is strongly non-degenerate, which is a strong form of semiprimeness for Lie algebras, under some ...
Perera Domènech, Francesc +2 more
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Leibniz algebras as non-associative algebras
, 2018 In this paper we define the basic concepts for left or right Leibniz algebras and prove some of the main results. Our proofs are often variations of the known proofs and several results seem to be new.
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Special Vinberg cones of rank 4
Journal of High Energy PhysicsE.B. Vinberg developed a theory of homogeneous convex cones $$C\subset V={\mathbb{R}}^{n}$$ , which has many applications. He gave a construction of such cones in terms of non-associative rank n matrix T-algebras $$\mathcal{T}$$ , that consist of vector ...
D. V. Alekseevsky, P. Osipov
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Skew Continuous Morphisms of Ordered Lattice Ringoids
Mathematics, 2016 Skew continuous morphisms of ordered lattice semirings and ringoids are studied. Different associative semirings and non-associative ringoids are considered. Theorems about properties of skew morphisms are proved. Examples are given.
Sergey Victor Ludkowski
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Derivations of the Moyal Algebra and Noncommutative Gauge Theories
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The differential calculus based on the derivations of an associative algebra underlies most of the noncommutative field theories considered so far. We review the essential properties of this framework and the main features of noncommutative connections ...
Jean-Christophe Wallet
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On applications of bipartite graph associated with algebraic structures
Open Mathematics, 2020 The latest developments in algebra and graph theory allow us to ask a natural question, what is the application in real world of this graph associated with some mathematical system? Groups can be used to construct new non-associative algebraic structures,
Zhang Xiujun +3 more
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Pseudospectra in Banach Jordan Algebras
MathematicsThe primary focus of this paper is to extend the concept of pseudospectrum from operators and matrices to elements of a unital complex Banach Jordan algebra, thereby moving from the associative to the non-associative setting. We introduce the notion of ε-
Abdelaziz Maouche
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Digital signature scheme with doubled verification equation [PDF]
Computer Science Journal of Moldova, 2020 A novel design of the signature schemes based on the hidden discrete logarithm problem is proposed, which is characterized in using special criterion oriented to providing security to potential quantum attacks.
D.N. Moldovyan +2 more
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Grading switching for modular non-associative algebras
, 2013 We describe a grading switching for arbitrary non-associative algebras of prime characteristic p, aimed at producing a new grading of an algebra from a given one. This is inspired by a fundamental tool in the classification theory of modular Lie algebras known as toral switching, which relies on a delicate adaptation of the exponential of a derivation.
Avitabile, M, Mattarei, S
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Non-associative Frobenius algebras of type $^1E_6$ with trivial Tits algebras
, 2023 Very recently, Maurice Chayet and Skip Garibaldi have introduced a class of commutative non-associative algebras, for each simple linear algebraic group over an arbitrary field (with some minor restriction on the characteristic). In a previous paper, we gave an explicit description of these algebras for groups of type $G_2$ and $F_4$ in terms of the ...
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