Results 21 to 30 of about 287,232 (281)

$U\left(\mathfrak{h}\right)$-Free Modules over the Lie Algebras of Differential Operators

Mathematics, 2022
This paper mainly considers a class of non-weight modules over the Lie algebra of the Weyl type. First, we construct the U(h)-free modules of rank one over the differential operator algebra.
Munayim Dilxat, Shoulan Gao, Dong Liu, Limeng Xia   +3 more
doaj   +1 more source

Noncommutative Geometry and Gauge Theory on Fuzzy Sphere [PDF]

, 2000
The differential algebra on the fuzzy sphere is constructed by applying Connes' scheme. The U(1) gauge theory on the fuzzy sphere based on this differential algebra is defined.
Carow-Watamura, Ursula, Watamura, Satoshi   +1 more
core   +2 more sources

A note on the differential calculus of Hochschild theory for $ A_{\infty} $-algebras

Electronic Research Archive, 2022
We show by constructing explicit homotopy operators that the Hochschild (co)homology of an $ A_{\infty} $-algebra of Stasheff admits a differential calculus structure.
Youming Chen, Weiguo Lyu , Song Yang
doaj   +1 more source

On differential approximations of difference schemes [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
The concept of the first differential approximation was introduced in the 1950s for the analysis of difference schemes by A. I. Zhukov  and then was used to study the quality of difference schemes approximating equations in partial derivatives.
Blinkov, Yuri Anatolievich, Malykh, Mikhail D., Sevastianov, Leonid A.   +2 more
doaj   +1 more source

Differential Gerstenhaber Algebras Associated to Nilpotent Algebras [PDF]

Asian Journal of Mathematics, 2008
30 Pages. 3 Tables. Proof of Theorem 29 is revised.
Cleyton, Richard, Poon, Yat-Sun
openaire   +3 more sources

On the Relationship Between Differential Algebra and Tropical Differential Algebraic Geometry [PDF]

, 2021
This paper presents the relationship between differential algebra and tropical differential algebraic geometry, mostly focusing on the existence problem of formal power series solutions for systems of polynomial ODE and PDE. Moreover, it improves an approximation theorem involved in the proof of the fundamental theorem of tropical differential ...
Boulier, François, Falkensteiner, Sebastian, Noordman, Marc Paul, Sanchez, Omar Leon   +3 more
openaire   +4 more sources

Identifiability of mathematical models in medical biology

Вавиловский журнал генетики и селекции, 2016
Analysis of biological data is a key topic in bioinformatics, computational genomics, molecular modeling and systems biology. The methods covered in this article could reduce the cost of experiments for biological data.
S. I. Kabanikhin, D. A. Voronov, A. A. Grodz, O. I. Krivorotko   +3 more
doaj   +1 more source

On a graded q-differential algebra

, 2005
Given a unital associatve graded algebra we construct the graded q-differential algebra by means of a graded q-commutator, where q is a primitive N-th root of unity.
Abramov V, Abramov V, Borowiec A, Coquereaux R, Coquereaux R, Dubois-Violette M, Dubois-Violette M, Dubois-Violette M, Fleury N, Kerner R, Kerner R, Laksov D   +11 more
core   +1 more source

BAXTER ALGEBRAS AND DIFFERENTIAL ALGEBRAS

Differential Algebra and Related Topics, 2002
A Baxter algebra is a commutative algebra $A$ that carries a generalized integral operator. In the first part of this paper we review past work of Baxter, Miller, Rota and Cartier in this area and explain more recent work on explicit constructions of free Baxter algebras that extended the constructions of Rota and Cartier.
openaire   +2 more sources

DiffAlg: a Differential algebra package [PDF]

Journal of Software for Algebra and Geometry, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dubinsky, Manuel, Massri, Cesar Dario, Molinuevo, Ariel, Quallbrunn, Federico   +3 more
openaire   +2 more sources