Results 41 to 50 of about 39,924 (177)
On the Leibniz bracket, the Schouten bracket and the Laplacian
The Leibniz bracket of an operator on a (graded) algebra is defined and some of its properties are studied. A basic theorem relating the Leibniz bracket of the commutator of two operators to the Leibniz bracket of them, is obtained.
Coll, Bartolomé, Ferrando, Joan Josep
core +3 more sources
Suppose that X is an algebra (a linear ring) and D is a right invertible operator with the domain and range in X. X is said to be a D-algebra if the condition \(x,y\in dom D\) implies \(xy\in dom D.\) A D-algebra is a Leibniz algebra if \((1)\quad D(xy)=xDy+yDx\quad for\quad x,y\in dom D.\) Algebras in which condition (1) is not satisfied are called ...
openaire +2 more sources
FRIEZE PATTERNS WITH COEFFICIENTS
Frieze patterns, as introduced by Coxeter in the 1970s, are closely related to cluster algebras without coefficients. A suitable generalization of frieze patterns, linked to cluster algebras with coefficients, has only briefly appeared in an unpublished ...
MICHAEL CUNTZ +2 more
doaj +1 more source
On the homological properties of the universal enveloping Leibniz algebra [PDF]
We presente a study of graded Leibniz algebras and its universal enveloping Leibniz algebra. We prove that the universal enveloping Leibniz algebra of a finite dimensional graded Leibniz algebra is a quasi-Koszul algebra or an inhomogeneous Koszul ...
Cañete-Molero, Elisa María
core
We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
wiley +1 more source
Automorphism groups of some non-nilpotent Leibniz algebras
Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[a,[b,c]]=[[a,b],c]+[b,[a,c]]$ for all $a,b,c\in L$. A linear transformation $f$ of $L$
L.A. Kurdachenko +2 more
doaj +1 more source
On Leibniz-Poisson special polynomial identities
In this paper we study Leibniz-Poisson algebras satisfying polynomial identities. We study Leibniz-Poisson special and Leibniz-Poisson extended special polynomials.
Sergey M Ratseev, Olga I Cherevatenko
doaj +1 more source
Methods of group theory in Leibniz algebras: some compelling results
The theory of Leibniz algebras has been developing quite intensively. Most of the results on the structural features of Leibniz algebras were obtained for finite-dimensional algebras and many of them over fields of characteristic zero.
I.Ya. Subbotin
doaj +1 more source
Interaction of Dirac δ$$ \delta $$‐Waves in the Inviscid Levine and Sleeman Chemotaxis Model
ABSTRACT This article investigates interactions of δ$$ \delta $$‐shock waves in the inviscid Levine and Sleeman chemotaxis model ut−λ(uv)x=0$$ {u}_t-\lambda {(uv)}_x=0 $$, vt−ux=0$$ {v}_t-{u}_x=0 $$. The analysis employs a distributional product and a solution concept that extends the classical solution concept.
Adelino Paiva
wiley +1 more source
Reversal of economic integration: evidence from European Union enlargement
Abstract Empirical models of trade agreements implicitly assume that withdrawal from a trade agreement has an equal and opposite trade effect as accession (i.e., symmetry). With increasing opposition to international economic cooperation, it becomes urgent to test this assumption.
Hinnerk Gnutzmann +2 more
wiley +1 more source

