Search for "Differential algebra" in article titles:

1. Differential algebra: A branch of algebra which deals with objects which involve not only addition and multiplication operations but also the operation of differentiation: differential rings, differential modules, differential fields, and differential algebraic varieties. One of the main objects of differential algebra ... (Mathematics) [100%] 2023-08-22
2. Differential algebra: In mathematics, differential algebra is, broadly speaking, the area of mathematics consisting in the study of differential equations and differential operators as algebraic objects in view of deriving properties of differential equations and operators without computing the solutions, similarly as ... (Algebraic study of differential equations) [100%] 2024-08-21 [Differential algebra]
3. Derivation (differential algebra): In mathematics, a derivation is a function on an algebra which generalizes certain features of the derivative operator. Specifically, given an algebra A over a ring or a field K, a K-derivation is a K-linear map D : A ... (Differential algebra) [81%] 2023-12-10 [Differential algebra]
4. Differential-algebra(2): An algebra $A$ over a field (ring) $K$ which is a differential ring and such that, moreover, any derivation $\partial$ commutes with multiplications by elements of $K$, i.e. $\partial(\alpha x) = \alpha \partial(x)$, where $\alpha \in K$, $x ... (Mathematics) [81%] 2023-09-02
5. Differential graded algebra: In mathematics, in particular in homological algebra, a differential graded algebra is a graded associative algebra with an added chain complex structure that respects the algebra structure. A differential graded algebra (or DG-algebra for short) A is a graded ... (Algebraic structure in homological algebra) [81%] 2023-12-15 [Algebras] [Homological algebra]...
6. Derivation (differential algebra): In mathematics, a derivation is a function on an algebra that generalizes certain features of the derivative operator. Specifically, given an algebra A over a ring or a field K, a K-derivation is a K-linear map D : A ... (Differential algebra) [81%] 2023-12-19 [Differential algebra]
7. Differential graded Lie algebra: In mathematics, in particular 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 complex structures that are compatible. Such objects have applications in ... [70%] 2022-09-29 [Differential algebra] [Lie algebras]...
8. Lie algebra-valued differential form: In differential geometry, a Lie-algebra-valued form is a differential form with values in a Lie algebra. Such forms have important applications in the theory of connections on a principal bundle as well as in the theory of Cartan ... [63%] 2023-12-02 [Differential forms] [Lie algebras]...
9. Lie algebra-valued differential form: In differential geometry, a Lie-algebra-valued form is a differential form with values in a Lie algebra. Such forms have important applications in the theory of connections on a principal bundle as well as in the theory of Cartan ... [63%] 2023-09-01 [Differential forms] [Lie algebras]...