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...

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

In mathematics the differential calculus over commutative algebras is a part of commutative algebra based on the observation that most concepts known from...

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

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...

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

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

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

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 algebra, the ring of polynomial differential forms on the standard n-simplex is the differential graded algebra: Ω poly ∗ ( [ n ] ) = Q [ t 0 , . ...

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

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

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

partial differential algebraic equation (PDAE) set is an incomplete system of partial differential equations that is closed with a set of algebraic equations...

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...

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

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

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

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

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

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

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

Speaker at the ICM in 1950 in Cambridge, Massachusetts. Ritt founded differential algebra theory, which was subsequently much developed by him and his student...

Ordinary differential forms can be viewed as R-valued differential forms. An important case of vector-valued differential forms are Lie algebra-valued forms...

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

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