Results 91 to 100 of about 16,163 (307)
Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators
Topological Algebra and its Applications, 2018 We study algebraic properties of Poisson brackets on non-associative non-commutative algebras, compatible with their multiplicative structure. Special attention is paid to the Poisson brackets of the Lie-Poisson type, related with the special Lie ...
Artemovych Orest D. +2 more
doaj +1 more source
On Generalized Lie Derivations of Lie Ideals of Prime Algebras
, 2013 [[abstract]]Let A be a prime algebra of characteristic not 2 with extended centroid C, let R be a noncentral Lie ideal of A and let B be the subalgebra of A generated by R.
Liao, Ping-Bao; Liu, Cheng-Kai
core
Small RNA pathways in mammalian oocytes
FEBS Open Bio, EarlyView.Three distinct small RNA pathways operate in mammalian oocytes: RNAi interference (RNAi), the microRNA (miRNA) pathway, and the PIWI‐associated RNA (piRNA) pathway. These pathways use small RNAs to guide sequence‐specific repression and contribute to oocyte biology by targeting genes and mobile elements or appear insignificant since different ...
Petr Svoboda, Josef Pasulka
wiley +1 more source
Characterization of Multiplicative Lie Triple Derivations on Rings
Abstract and Applied Analysis, 2014 Let R be a ring having unit 1. Denote by ZR the center of R. Assume that the characteristic of R is not 2 and there is an idempotent element e∈R such that aRe=0⇒a=0 and aR1-e=0⇒a=0.
Xiaofei Qi
doaj +1 more source
Nonlinear $\ast $-Lie higher derivations of standard operator algebras
, 2018 summary:Let $\mathcal {H}$ be an infinite-dimensional complex Hilbert space and $\mathfrak {A}$~be a standard operator algebra on $\mathcal {H}$ which is closed under the adjoint operation. It is shown that every nonlinear $\ast $-Lie higher derivation $\
Ali, Shakir +2 more
core +1 more source
Irreducible Lie–Yamaguti algebras of generic type [PDF]
, 2011 Lie–Yamaguti algebras (or generalized Lie triple systems) are binary–ternary algebras intimately related to reductive homogeneous spaces. The Lie–Yamaguti algebras which are irreducible as modules over their inner derivation algebras are the algebraic ...
Benito, Pilar [0000-0001-8122-6359] +4 more
core +1 more source
On the Higher Nash Blow-Up Derivation Lie Algebras of Isolated Hypersurface Singularities
, 2023 It is a natural question to ask whether there is any Lie algebra that completely characterize simple singularities? The higher Nash blow-up derivation Lie algebras Lkl(V) associated to isolated hypersurface singularities defined to be the Lie algebra of ...
Muhammad Asif +3 more
core +1 more source
FEBS Open Bio, EarlyView.TisIBP8, a fungal‐derived hyperactive ice‐binding protein, helps Caenorhabditis elegans survive dehydration. It localizes near cell membranes, reduces cell damage, and helps maintain membrane structure during drying. These results suggest that ice‐binding proteins can protect cells from dehydration stress as well as freezing stress.
Daiki Shimose +9 more
wiley +1 more source
Aging and Cancer, EarlyView.Natural products target the aging kidney in diabetic nephropathy by restoring the AMPK–SIRT1–Nrf2 axis, reducing oxidative stress, inflammation, fibrosis, and cellular senescence while enhancing mitochondrial biogenesis and antioxidant defenses.
Sherif Hamidu +8 more
wiley +1 more source
On n-Derivations and n-Homomorphisms in Perfect Lie Superalgebras
MathematicsLet n≥2 be a fixed integer. The aim of this paper is to investigate the properties of n-derivations within the framework of perfect Lie superalgebras over a commutative ring R. The main result shows that if the base ring contains 1n−1, and L is a perfect
Shakir Ali +3 more
doaj +1 more source