differential algebra

There are several such notions, according to the concept of differential algebra used.

He is considered one of the pioneers of differential algebra.

The notion of a p-derivation is related to that of a derivation in differential algebra.

Homology of a differential algebra.

See differential algebra.

Differential Algebra.

Secondly, he convincingly demonstrated the power of the machinery of differential algebra in CR-geometry.

A differential graded algebra is a differential algebra with an additional grading.

Another approach to construct associative differential algebras is based on J.-F.

Differential rings and differential algebras are often studied by means of the ring of pseudo-differential operators on them.

The properties of the differential also motivate the algebraic notions of a derivation and a differential algebra.

Seidenberg was known for his research to commutative algebra, algebraic geometry, differential algebra, and the history of mathematics.

Künneth spectral sequence for calculating the homology of a tensor product of differential algebras.

A differential algebra is an algebra with the extra operation of derivation (algebraic version of differentiation).

The mathematical definition of an elementary function, or a function in elementary form, is considered in the context of differential algebra.

In mathematics, an algebraic differential equation is a differential equation that can be expressed by means of differential algebra.

The differential Nullstellensatz is the analogue in differential algebra of Hilbert's nullstellensatz.

Liouville's theorem (differential algebra)

Difference algebra is analogous to differential algebra but concerned with difference equations rather than differential equations.

Kolchin worked on differential algebra and its relation to differential equations, and founded the modern theory of linear algebraic groups.

Differential algebra - algebras equipped with a derivation, which is a unary function that is linear and satisfies the Leibniz product rule.

The properties of the derivative have inspired the introduction and study of many similar objects in algebra and topology - see, for example, differential algebra.

A differential algebra over a field K is a K-algebra A wherein the derivation(s) commutes with the field.

Yuri Chekanov, "Differential Algebra of Legendrian Links".

Buium, Differential Algebra and Diophantine Geometry, Hermann (1994).