Results 21 to 30 of about 111,956 (116)
Almost nilpotent Lie algebras [PDF]
, 1987 Throughout we shall consider only finite-dimensional Lie algebras over a field of characteristic zero. In [3] it was shown that the classes of solvable and of supersolvable Lie algebras of dimension greater than two are characterised by the structure of ...
Towers, David
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On characterisation of finitary algebraic categories [PDF]
Bulletin of the Australian Mathematical Society, 1978 The aim of this article is to characterise categories which are V–algebraic (equals V–theoretical) over V where V is a symmetric monoidal closed category satisfying suitable limit-colimit commutativity conditions (basicly axiom π).
Borceux, Francis, Day, B. J.
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Computation by infinite descent made explicit [PDF]
Logical Methods in Computer ScienceWe introduce a non-wellfounded proof system for intuitionistic logic extended with inductive and co-inductive definitions, based on a syntax in which fixpoint formulas are annotated with explicit variables for ordinals.
Sebastian Enqvist
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Elementary Lie Algebras and Lie A-Algebras. [PDF]
, 2007 A finite-dimensional Lie algebra L over a field F is called elementary if each of its subalgebras has trivial Frattini ideal; it is an A-algebra if every nilpotent subalgebra is abelian. The present paper is primarily concerned with the classification of
Varea, Vicente R., Towers, David A.
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Gradings on simple algebras of finitary matrices
Journal of Algebra, 2010 We describe gradings by finite abelian groups on the associative algebras of infinite matrices with finitely many nonzero entries, over an algebraically closed field of characteristic zero.
Bahturin, Yuri, Zaicev, Mikhail
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Serial subalgebras of finitary Lie algebras
A Lie subalgebra L of glR(V) is said to be finitary if it consists of elements of finite rank. We show that, if L acts irreducibly on V, and if V is infinite-dimensional, then every non-trivial ascendant Lie subalgebra of L acts irreducibly on V too ...
Puglisi O, Leinen F
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International Journal of Theoretical Physics, 1998 An algebraic scheme is suggested in which discretized spacetime turns out to be a quantum observable. As an example, a toy model producing spacetimes of four points with different topologies is presented. The possibility of incorporating this scheme into the framework of non-commutative differential geometry is discussed.
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Parabolic and Levi Subalgebras of Finitary Lie Algebras [PDF]
International Mathematics Research Notices, 2009 36 ...
Dan-Cohen, Elizabeth, Penkov, Ivan
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Solvable complemented Lie algebras. [PDF]
, 2012 In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
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Lifting Results for Finite Dimensions to the Transfinite in Systems of Varieties Using Ultraproducts
Bulletin of the Section of LogicWe redefine a system of varieties definable by a schema of equations to include finite dimensions. Then we present a technique using ultraproducts enabling one to lift results proved for every finite dimension to the transfinite.
Tarek Sayed Ahmed
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