Results 51 to 60 of about 5,953,085 (343)

On properties of principal elements of Frobenius Lie algebras [PDF]

, 2014
We investigate the properties of principal elements of Frobenius Lie algebras, following the work of M. Gerstenhaber and A. Giaquinto. We prove that any Lie algebra with a left symmetric algebra structure can be embedded, in a natural way, as a ...
Diatta, Andre, Manga, Bakary
core  

Double extensions of Lie superalgebras in characteristic 2 with nondegenerate invariant supersymmetric bilinear form

, 2018
A Lie (super)algebra with a non-degenerate invariant symmetric bilinear form will be called a NIS-Lie (super)algebra. The double extension of a NIS-Lie (super)algebra is the result of simultaneously adding to it a central element and an outer derivation ...
Benayadi, Said, Bouarroudj, Sofiane
core   +2 more sources

Time after time – circadian clocks through the lens of oscillator theory

FEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo, Carolin Ector, Hanspeter Herzel   +2 more
wiley   +1 more source

Maps on the Mirror Heisenberg–Virasoro Algebra

Mathematics
Using the first cohomology from the mirror Heisenberg–Virasoro algebra to the twisted Heisenberg algebra (as the mirror Heisenberg–Virasoro algebra module), in this paper, we determined the derivations on the mirror Heisenberg–Virasoro algebra.
Xuelian Guo, Ivan Kaygorodov, Liming Tang   +2 more
doaj   +1 more source

3-BiHom-Lie superalgebras induced by BiHom-Lie superalgebras [PDF]

Linear and multilinear algebra, 2019
The purpose of this paper is to study the relationships between a BiHom-Lie superalgebras and its induced 3-BiHom-Lie superalgebras. We introduce the notion of -derivation, -quasiderivation and generalized -derivation of 3-BiHom-Lie superalgebras and ...
A. Ben Hassine, S. Mabrouk, O. Ncib
semanticscholar   +1 more source

The newfound relationship between extrachromosomal DNAs and excised signal circles

FEBS Letters, EarlyView.
Extrachromosomal DNAs (ecDNAs) contribute to the progression of many human cancers. In addition, circular DNA by‐products of V(D)J recombination, excised signal circles (ESCs), have roles in cancer progression but have largely been overlooked. In this Review, we explore the roles of ecDNAs and ESCs in cancer development, and highlight why these ...
Dylan Casey, Zeqian Gao, Joan Boyes
wiley   +1 more source

Generalized derivations and their embedding in $\omega$-hom-Lie algebras

AIMS Mathematics
In this study, we explored the algebraic structure of generalized derivations within finite-dimensional $ \omega $-hom-Lie algebras over a field $ K $, emphasizing their symmetry properties in nonassociative settings.
Nof T. Alharbi, Ishraga A. Mohamed, Halah A. Abd Almeneem, Norah Saleh Barakat   +3 more
doaj   +1 more source

On Generalized Permuting Left 3-Derivations of Prime Rings [PDF]

Engineering and Technology Journal, 2017
-Let R be an associative ring. Park and Jung introduced the concept of permuting 3-derivation and they are studied this concept as centralizing and commuting.
A. K. Faraj, S. J. Shareef
doaj   +1 more source

Lie n-centralizers of generalized matrix algebras

AIMS Mathematics, 2023
In this paper, we introduce the notion of Lie $ n $-centralizers. We then give a description of Lie $ n $-centralizers on a generalized matrix algebra and present the necessary and sufficient conditions for a Lie $ n $-centralizer to be proper.
He Yuan , Zhuo Liu
doaj   +1 more source

Multiplicative Lie triple derivations on standard operator algebras [PDF]

, 2021
Bilal Ahmad Wani
openalex   +1 more source