Results 31 to 40 of about 7,465 (167)

On differential Hopf algebras [PDF]

Transactions of the American Mathematical Society, 1963
Differential Hopf algebras arise in several contexts in algebraic topology. The Bockstein spectral sequence of an //-space is one example that has been investigated by many authors [3; 1; 7; 8]. Borel [3] and Araki [1] proved algebraic theorems about the structure of differential Hopf algebras of special kinds.
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Painlevé Equation PII and Strongly Normal Extensions

Demonstratio Mathematica, 2016
The aim of this paper is to show that if F is a differential field and y is a PII transcendent such that tr.deg.F 〈y〉 = 2, then every constant in F〈y〉 is in F. We also show that in this case, F〈y〉 is not contained in any strongly normal extension.
Miri Sofiane El-Hadi
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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.
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Differential-algebraic Dynamic Logic for Differential-algebraic Programs [PDF]

Journal of Logic and Computation, 2008
We generalize dynamic logic to a logic for differential-algebraic (DA) programs, i.e. discrete programs augmented with first-order differential-algebraic formulas as continuous evolution constraints in addition to first-order discrete jump formulas. These programs characterize interacting discrete and continuous dynamics of hybrid systems elegantly and
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3-Derivations and 3-Automorphisms on Lie Algebras

Mathematics, 2022
In this paper, first we establish the explicit relation between 3-derivations and 3- automorphisms of a Lie algebra using the differential and exponential map.
Haobo Xia
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Spectral Curves for Third-Order ODOs

Axioms
Spectral curves are algebraic curves associated to commutative subalgebras of rings of ordinary differential operators (ODOs). Their origin is linked to the Korteweg–de Vries equation and to seminal works on commuting ODOs by I.
Sonia L. Rueda, Maria-Angeles Zurro
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Specializations in differential algebra [PDF]

Transactions of the American Mathematical Society, 1959
1. Objectives and summary. Much of elementary differential algebra can be regarded as a generalization of the algebraic geometry of polynomial rings over a field to an analogous theory for rings of differential polynomials (d.p.) over a differential field(').
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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
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Algebras of Differentiable Functions [PDF]

Proceedings of the American Mathematical Society, 1954
1. Let M be a compact differentiable manifold of class Cr, 1
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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
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