mathematics, differential algebra is, broadly speaking, the area of mathematics consisting in the study of differential equations and differential operators...

respect to N {\displaystyle N} . An algebra A equipped with a distinguished derivation d forms a differential algebra, and is itself a significant object...

homological algebra, algebraic topology, and algebraic geometry – a differential graded algebra (or DGA, or DG algebra) is an algebraic structure often...

mathematics, a differential-algebraic system of equations (DAE) is a system of equations that either contains differential equations and algebraic equations...

the chain is either algebraic, logarithmic, or exponential. Suppose F {\displaystyle F} and G {\displaystyle G} are differential fields with Con ⁡ ( F...

is for R a field and S a unital algebra over R (such as the coordinate ring of an affine variety). Kähler differentials formalize the observation that...

Differential algebraic geometry is an area of differential algebra that adapts concepts and methods from algebraic geometry and applies them to systems...

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

universal enveloping algebra of the Lie algebra of a Lie group may be identified with the algebra of left-invariant differential operators on the group...

In mathematics, the exterior algebra or Grassmann algebra of a vector space V {\displaystyle V} is an associative algebra that contains V , {\displaystyle...

Algebraic differential geometry may refer to: Differential algebraic geometry Differential geometry of algebraic manifolds Manifolds equipped with a derivation...

pullback. Differential forms are part of the field of differential geometry, influenced by linear algebra. Although the notion of a differential is quite...

representation theory, differential geometry, quantum statistical mechanics, quantum information, and quantum field theory. Operator algebras can be used to study...

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

pseudo-differential equations use pseudo-differential operators instead of differential operators. A differential algebraic equation (DAE) is a differential...

abstract algebra and topology, a differential graded Lie algebra (or dg Lie algebra, or dgla) is a graded vector space with added Lie algebra and chain...

In mathematics, differential Galois theory is the field that studies extensions of differential fields. Whereas algebraic Galois theory studies extensions...

mathematics such as calculus, differential geometry, algebraic geometry and algebraic topology. The term differential is used nonrigorously in calculus...

representation theory, mathematical physics, operator algebras, complex analysis, and the theory of partial differential equations. K-theory is an independent discipline...

Multilinear subspace learning Multivector Geometric algebra Clifford algebra Closed and exact differential forms Component-free treatment of tensors Cramer's...

In abstract algebra, the Weyl algebras are abstracted from the ring of differential operators with polynomial coefficients. They are named after Hermann...

impossibility result, which basically states that there cannot be a differential algebra containing the space of distributions and preserving the product...

techniques of single variable calculus, vector calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry...

analogy with algebraic equations), even when this term is a non-constant function. If the constant term is the zero function, then the differential equation...

basis Buchberger's algorithm Algebraic number theory Algebraic geometry Ring theory Field theory (mathematics) Differential algebra Homological algebra...

In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with any other...

partial differential equations. In differential topology, the exterior derivative and Lie derivative operators have intrinsic meaning. In abstract algebra, the...

partial differential equation P ( D ) u = f {\displaystyle P(D)\,u=f} we (formally) apply the Fourier transform on both sides and obtain the algebraic equation...

like an algebra over a field. Algebra over an operad Alternative algebra Clifford algebra Composition algebra Differential algebra Free algebra Geometric...

mathematics, a differential algebraic group is a differential algebraic variety with a compatible group structure. Differential algebraic groups were introduced...