Leibniz Algebra
Subinvariance and Supersolvability of Leibniz Algebra
... nilpotent Leibniz algebras satisfy the normalizer condition, which means every proper subalgebra of the nilpotent Leibniz algebra A is properly contained in its ...
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Some aspects of Leibniz algebra theory
... for Leibniz algebras are an analogous of others similar concepts, which became standard in several algebraic ...a Leibniz algebra L is called nilpotent, if there exists a positive integer k such that ...
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Formations of Leibniz Algebras.
... Proof. Assume that F is a totally non-saturated formation and suppose that L is a minimal counterexample where L/nil (L) ∈ F but L/Φ(L) 6∈ F . Without loss of generality, we may let Φ( L ) = 0 so that we now have L 6∈ F ...
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Frattini Properties of Leibniz Algebras.
... the Leibniz algebra case is the intersection of all maximal ideals, discussed by Marshall in [12] for Lie ...in Leibniz algebras by Barnes in [3], is that for any subalgebra W contained in F ( A ) , ...
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On Derivations of Leibniz Algebras.
... (left) Leibniz algebra is a vector space over a field F equipped with a bilinear product (, ) : A × A → A that satisfies the Leibniz identity, a(bc) = (ab)c + b(ac) for all a, b, c ∈ ...a ...
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Leibniz A algebras
... right Leibniz algebras, and there is a corresponding notion of left Leibniz ...Lie algebra is a Leibniz algebra and every Leibniz algebra satisfy- ing [x, x] = 0 for every ...
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The Generalized Ideal Index and CAP*-subalgebras of Leibniz Algebras.
... a Leibniz algebra and not a Lie ...non-Lie Leibniz algebra is simple by the Lie definition unless Leib(A) = ...a Leibniz-simple Leibniz algebra to be one that has no ...
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On the anticommutativity in Leibniz algebras
... The length of the upper anticentral series (or lower anticentral series) is called the class of antinilpotency of a Leibniz algebra L and denote by ancl(L). In the article [2] it was called a Lie-nilpotent ...
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Supersolvable Leibniz Algebras.
... a Leibniz algebra L over a field F is triangulable on module M if the induced representation of K ⊗ L on K ⊗ M admits a basis such that the representing matrices are upper ...an algebra is ...
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Conjugacy and Other Results in Leibniz Algebras.
... A Leibniz algebra L over a field F is triangulable on L -module M if when F is extended to K , the algebraic closure of F , K ⊗ M admits a basis such that the representing matrices of K ⊗ L are upper ...the ...
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On some Leibniz algebras, having small dimension
... nilpotent Leibniz algebra over finite field F ...Lie algebra, dim F (L) = 3, ncl (L) = 2 and L has an element b / ∈ γ 2 (L) such that [b, b] = ...an algebra of one ...
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Leibniz algebras with absolute maximal Lie subalgebras
... the Leibniz algebras containing Lie subalgebras of codimension one, for which the Lie -center has dimension and codimension greater than ...s-Leibniz algebra inherit from its absolute maximal Lie ...
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Complemented Leibniz Algebras.
... We say that L is elementary if φ(B) = 0 for every subalgebra B of L. Let A be a vector space of finite dimension and let B be an abelian completely reducible subalgebra of gl(A). A construction of solvable elementary Lie ...
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Some Criteria for Solvable and Supersolvable Leibniz Algebras.
... Lie algebra L is a c-ideal, then L is ...to Leibniz algebras over fields of characteristic zero, we can relax the sufficient condition for ...a Leibniz algebra is a c-ideal, then the ...
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On the structure of Leibniz algebras whose subalgebras are ideals or core-free
... We show also another example which is typical in some sense. Let L be a cyclic nilpotent Leibniz algebra of dimension 3. That is, L = F a⊕F b⊕F c, where b = [a, a], c = [a, b]. Here, Leib(L) = F b ⊕ F c. If ...
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The parabolic algebra on Lp spaces
... Neumann algebra B (L 2 ( R )) of all bounded ...operator algebra generated by the semigroups for µ ≥ 0 and λ ≥ 0 is a reflexive algebra, in the sense of Halmos [18], containing no self-adjoint ...
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Nuclear JC algebras and tensor products of types
... C*-algebras, Von Neumann algebra, nuclear C*-algebra, Jordan algebra, ./C-algebra, tensor products of operator algebras.. 1991 AMS SUBJECT CLASSIFICATION CODES.[r] ...
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Leibniz on innate ideas and Kant on the origin of the categories
... correct, Leibniz and Kant should not be contrasted as endorsing respectively content innateness and faculty ...What Leibniz calls finding and Kant calls generating those concepts is the first manifestation ...
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PP 2018 15: Constructing illoyal algebra valued models of set theory
... the algebra A and the logical phenomena witnessed in the A -valued model of set ...its algebra if the propositional logic in the model is the same as the logic of the algebra from which it was ...
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WHAT DID RUSSELL LEARN FROM LEIBNIZ?
... from Leibniz — an insight concerning Russell’s own phi- losophy rather than Leibniz’s — until after he had read the Dis- course and the Arnauld ...the Leibniz texts Russell read, and the order in which he ...
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