Results 51 to 60 of about 16,698 (215)

Covariantization of quantized calculi over quantum groups [PDF]

Mathematica Bohemica, 2020
We introduce a method for construction of a covariant differential calculus over a Hopf algebra $A$ from a quantized calculus $da=[D,a]$, $a\in A$, where $D$ is a candidate for a Dirac operator for $A$.
Seyed Ebrahim Akrami, Shervin Farzi
doaj   +1 more source

Differential Hopf algebra structures on the universal enveloping algebra ofa Lie algebra [PDF]

, 1995
We discuss a method to construct a De Rham complex (differential algebra) of Poincar'e-Birkhoff-Witt-type on the universal enveloping algebra of a Lie algebra $g$.
Martini, R., R. Martini, van den Hijligenberg, N., Hijligenberg, N.W., Hijligenberg, N.W. van den, N. van den Hijligenberg   +5 more
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Gauge-invariant theories and higher-degree forms

Journal of High Energy Physics, 2021
A free differential algebra is generalization of a Lie algebra in which the mathematical structure is extended by including of new Maurer-Cartan equations for higher-degree differential forms.
S. Salgado
doaj   +1 more source

Differentially Homogeneous Algebras

Journal of Algebra, 1999
Let \(k\) be a ring and let \(A\) be a flat finitely generated \(k\)-algebra. The \(k\)-algebra \(A\) is said to be differentially homogeneous when the \(A\)-modules of jets \(J_{A/k}^r=(A\otimes_kA)/\Delta^{r+1}\) are projective for any \(r\geq 0\), where \(\Delta\) stands for the diagonal ideal.
openaire   +1 more source

Differential Equation over Banach Algebra

, 2022
In the book, I considered differential equations of order $1$ over Banach $D$\Hyph algebra: differential equation solved with respect to the derivative; exact differential equation; linear homogeneous equation.
Kleyn, Aleks
core  

A Categorical View of Difference-Differential Algebra [PDF]

, 2023
We approach differential algebra and differential algebraic geometry from the point of view of topos theory and categorical logic, following the initial steps made by Keigher and Bunge in the early 80s.
Iannazzo, A
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Analysis in Differential Algebras and Modules [PDF]

Theoretical and Mathematical Physics, 2018
A short introduction to the mathematical methods and technics of differential algebras and modules adapted to the problems of mathematical and theoretical physics is presented.
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Amitsur's theorem, semicentral idempotents, and additively idempotent semirings

Open Mathematics
The article explores research findings akin to Amitsur’s theorem, asserting that any derivation within a matrix ring can be expressed as the sum of an inner derivation and a hereditary derivation.
Rachev Martin, Trendafilov Ivan
doaj   +1 more source

Equivalent Lagrangians: Generalization, Transformation Maps, and Applications

Journal of Applied Mathematics, 2012
Equivalent Lagrangians are used to find, via transformations, solutions and conservation laws of a given differential equation by exploiting the possible existence of an isomorphic algebra of Lie point symmetries and, more particularly, an isomorphic ...
N. Wilson, A. H. Kara
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𝐶*-algebras and differential topology [PDF]

Bulletin of the American Mathematical Society, 1985
Let M be a smooth closed manifold. The isotopy classes of smooth structures on M can be made into a finite abelian group \(\Sigma(M).\) The author constructs the homomorphism \(\vartheta(\Sigma(M)\to K^ 0(M))\) into the multiplicative group of units. The main results: there is a manifold M with a second structure \(\alpha \in \Sigma (M)_{(2)}\), for ...
openaire   +3 more sources