Results 31 to 40 of about 470,840 (277)
On ideals of free lie algebras
It is proved that in a free Lie algebra a nontrivial ideal which has infinite rank may be the whole algebra under certain conditions. It is proved that if F is a free Lie algebra of rank \(> 1\) and L a subalgebra of F such that \(L\supseteq F_{2,2}\) then \(L/F_{2,2}\) is free metabelian if and only if there is a set \(Y\subseteq L\) which is linearly
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Representation of certain classes of distributive lattices by sections of sheaves
Epstein and Horn ([6]) proved that a Post algebra is always a P-algebra and in a P-algebra, prime ideals lie in disjoint maximal chains. In this paper it is shown that a P-algebra L is a Post algebra of order n≥2, if the prime ideals of L lie in disjoint
U. Maddana Swamy, P. Manikyamba
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Some Results On Lie Ideals With (σ,τ)-derivationIn Prime Rings
In this paper, we proved that if R is a prime ring, U be a nonzero Lie ideal of R , d be a nonzero (?,?)-derivation of R. Then if Ua?Z(R) (or aU?Z(R)) for a?R, then either or U is commutative Also, we assumed that Uis a ring to prove that: (i) If Ua?Z(R)
Baghdad Science Journal
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On Marginal Automorphisms of Free Nilpotent Lie Algebras
Let L be the free nilpotent Lie algebra of finite rank over a field of characteristic zero. We define the concepts of marginal ideals and marginal automorphisms of L, and we give some results on marginal automorphisms.
Özge Öztekin
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On Orbits of Order Ideals of Minuscule Posets [PDF]
An action on order ideals of posets considered by Fon-Der-Flaass is analyzed in the case of posets arising from minuscule representations of complex simple Lie algebras.
David B. Rush, Xiaolin Shi
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Ideally constrained Lie algebras
The authors study a class of graded Lie algebras satisfying a `narrowness' condition on their lattice of graded ideals. Motivated by analogies with (pro-)\(p\)-groups, they naturally restrict their attention to graded Lie algebras \(L=\bigoplus_{i=1}^{\infty}L_i\) over a field which are generated by \(L_1\).
GAVIOLI, NORBERTO, MONTI V.
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Two Generator Subalgebras Of Lie Algebras. [PDF]
In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup is solvable (Corollary 2, p. 388). Recently, Grunevald et al.
Bowman, Kevin +2 more
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Semiprime Rings with Multiplicative Generalized Derivations on Lie Ideals
Let be a torsion free semiprime ring. In [10], a map is called a multiplicativegeneralized derivation if there exists a map such that for all . Let be a noncentral square-closed Lieideal of and multiplicative generalizedderivations associated to the ...
Emine Koç
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Structure‐forward targeting of claudins with synthetic binders
Claudins form the paracellular barriers between epithelial and endothelial tissues at tight junctions and are targets for molecular binders with the goal of modulating barrier permeability. Claudin‐binding molecules are relevant in drug delivery or in altering claudin interactions with disease‐causing proteins.
Alex J. Vecchio
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Generalized derivations as homomorphisms or anti-homomorphisms on Lie ideals
Let R be a prime ring of char(R)≠2, Z the center of R, and L a nonzero Lie ideal of R. If R admits a generalized derivation F associated with a derivation d which acts as a homomorphism or as anti-homomorphism on L, then either d=0 or L⊆Z.
Nadeem ur Rehman, Mohd Arif Raza
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