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Generalized derivations with central values on lie ideals LIE IDEALS
, 2014 6 ...
Sahebi, Shervin, Rahmani, Venus
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C-Ideals of Lie Algebras [PDF]
Communications in Algebra, 2009 A subalgebra B of a Lie algebra L is called a c-ideal of L if there is an ideal C of L such that L = B + C and B \cap C \leq B_L, where B_L is the largest ideal of $L$ contained in B. This is analogous to the concept of c-normal subgroup, which has been studied by a number of authors.
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Derivations satisfying certain algebraic identities on Lie ideals [PDF]
Mathematica Moravica, 2019 Let d be a derivation of a semiprime ring R and L a nonzero Lie ideal of R. In this note, it is proved that every noncentral square-closed Lie ideal of R contains a nonzero ideal of R. Further, we use this result to characterize the conditions: d(xy) = d(
Sandhu Gurninder S., Kumar Deepak
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Representation of certain classes of distributive lattices by sections of sheaves
International 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
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On ideals of free lie algebras
Journal 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
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Some Results On Lie Ideals With (σ,τ)-derivationIn Prime Rings
مجلة 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
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On Marginal Automorphisms of Free Nilpotent Lie Algebras
Journal 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
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On Orbits of Order Ideals of Minuscule Posets [PDF]
Discrete 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
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Ideally constrained Lie algebras
Journal 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.
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Semiprime Rings with Multiplicative Generalized Derivations on Lie Ideals
Cumhuriyet 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
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