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Commutator Leavitt path algebras [PDF]

open access: yes, 2012
For any field K and directed graph E, we completely describe the elements of the Leavitt path algebra L_K(E) which lie in the commutator subspace [L_K(E),L_K(E)].
AA Albert   +21 more
core   +1 more source

Enveloping algebras that are principal ideal rings

open access: yes, 2017
Let $L$ be a restricted Lie algebra over a field of positive characteristic. We prove that the restricted enveloping algebra of $L$ is a principal ideal ring if and only if $L$ is an extension of a finite-dimensional torus by a cyclic restricted Lie ...
Siciliano, Salvatore, Usefi, Hamid
core   +1 more source

ON JORDAN IDEAL IN PRIME AND SEMIPRIME INVERSE SEMIRINGS WITH CENTRALIZER

open access: yesAl-Mustansiriyah Journal of Science, 2020
In this paper we recall the definition of centralizer on inverse semiring. Also introduce the definition of Jordan ideal and Lie ideal. Some results of M.A.Joso Vukman on centralizers on semiprime rings are generalized here to inverse semirings.
Rawnaq Khaleel Ibraheem   +1 more
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

The Joseph ideal for $\mathfrak{sl}(m|n)$

open access: yes, 2016
Using deformation theory, Braverman and Joseph obtained an alternative characterisation of the Joseph ideal for simple Lie algebras, which included even type A.
Barbier, Sigiswald, Coulembier, Kevin
core   +1 more source

Results on the Wess-Zumino consistency condition for arbitrary Lie algebras

open access: yes, 2002
The so-called covariant Poincare lemma on the induced cohomology of the spacetime exterior derivative in the cohomology of the gauge part of the BRST differential is extended to cover the case of arbitrary, non reductive Lie algebras.
A. Barkallil   +15 more
core   +1 more source

INTUITIONISTIC FUZZY LIE IDEALS OF LIE ALGERBAS

open access: yesHonam Mathematical Journal, 2007
The notion of intuitionistic fuzzy Lie ideal of a Lie algebra is introduced, and related properties are investigated. Characterizations of an intuitionistic fuzzy Lie ideal are provided. Using a collection of Lie ideals, an intuitionistic fuzzy Lie ideal is established.
Young-Bae Jun, Chul-Hwan Park
openaire   +1 more source

Factorization of the current algebra and integrable top-like systems

open access: yes, 2004
A hierarchy of integrable hamiltonian nonlinear ODEs is associated with any decomposition of the Lie algebra of Laurent series with coefficients being elements of a semi-simple Lie algebra into a sum of the subalgebra consisting of the Taylor series and ...
Golubchik, I. Z., Sokolov, V. V.
core   +2 more sources

Preferences of Pediatric Patients and Their Caregivers for Chemotherapy‐Induced Nausea and Vomiting Control Endpoints: A Mixed Methods Study

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Purpose Although not always achieved, complete chemotherapy‐induced nausea and vomiting (CINV) control is the conventional goal of CINV prophylaxis. In this two‐center, mixed‐methods study, we sought to understand the preferences of adolescent patients and family caregivers for CINV control endpoints.
Haley Newman   +8 more
wiley   +1 more source

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