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...

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

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

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

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...

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

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...

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

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...

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

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...

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

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

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

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...

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

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

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

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

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...

mathematics, differential of the first kind is a traditional term used in the theories of Riemann surfaces (more generally, complex manifolds) and algebraic curves...

theory of differentially closed fields (DCF) is the theory of differentially perfect fields with axioms saying that if f and g are differential polynomials...

abstract algebra and topology, a homotopy Lie algebra (or L ∞ {\displaystyle L_{\infty }} -algebra) is a generalisation of the concept of a differential graded...