Results 31 to 40 of about 470,840 (277)

On ideals of free lie algebras

open access: yesJournal of Pure and Applied Algebra, 1987
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
openaire   +4 more sources

Representation of certain classes of distributive lattices by sections of sheaves

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1980
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
doaj   +1 more source

Some Results On Lie Ideals With (σ,τ)-derivationIn Prime Rings

open access: yesمجلة بغداد للعلوم, 2009
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
doaj   +1 more source

On Marginal Automorphisms of Free Nilpotent Lie Algebras

open access: yesJournal of Mathematics, 2020
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
doaj   +1 more source

On Orbits of Order Ideals of Minuscule Posets [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2013
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
doaj   +1 more source

Ideally constrained Lie algebras

open access: yesJournal of Algebra, 2002
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.
openaire   +3 more sources

Two Generator Subalgebras Of Lie Algebras. [PDF]

open access: yes, 2007
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
core   +2 more sources

Semiprime Rings with Multiplicative Generalized Derivations on Lie Ideals

open access: yesCumhuriyet Science Journal, 2017
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
doaj   +1 more source

Structure‐forward targeting of claudins with synthetic binders

open access: yesFEBS Letters, EarlyView.
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
wiley   +1 more source

Generalized derivations as homomorphisms or anti-homomorphisms on Lie ideals

open access: yesArab Journal of Mathematical Sciences, 2016
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
doaj   +1 more source

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