Results 21 to 30 of about 4,501 (310)

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

Inner Ideals of the Real Five-Dimensional Lie Algebras with Two-Dimensional Derived, Such That l′ ⊈ z

open access: yesWasit Journal for Pure Sciences
— Inner ideal of the five-dimensional non-commutative Lie alge- bras over the real fields with two-dimensional derived were classified. It is proved that one, two, three and four-dimensional inner ideals are exist in every five-dimensional Lie algebra ...
mustafa shamkhi
doaj   +1 more source

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

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

Derivations satisfying certain algebraic identities on Lie ideals [PDF]

open access: yesMathematica 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
doaj  

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

Lie Structures and Chain Ideal Lattices

open access: yesBulletin of the Brazilian Mathematical Society, New Series, 2023
AbstractThe purpose of this paper is twofold. Firstly, to emphasise that the class of Lie algebras with chain lattices of ideals are elementary blocks in the embedding or decomposition of Lie algebras with finite lattice of ideals. Secondly, to show that the number of Lie algebras of this class is large and they support other types of Lie structures ...
Pilar Benito, Jorge Roldán-López
openaire   +4 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

On ideals and contraideals in Leibniz algebras

open access: yesДоповiдi Нацiональної академiї наук України, 2023
A subalgebra S of a Leibniz algebra L is called a contraideal, if an ideal, generated by S coincides with L. We study the Leibniz algebras, whose subalgebras are either an ideal or a contraideal.
L.A. Kurdachenko   +2 more
doaj   +1 more source

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