Table of Contents
15 relations: Abstract algebra, Algebraic structure, Cross product, Derivation (differential algebra), Derivative algebra (abstract algebra), Differential geometry, Endomorphism ring, Euclidean vector, Mathematical logic, Mathematics, Modal logic, Non-associative algebra, Subalgebra, Topological space, Vector space.
Abstract algebra
In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations acting on their elements.
See Derivative algebra and Abstract algebra
Algebraic structure
In mathematics, an algebraic structure consists of a nonempty set A (called the underlying set, carrier set or domain), a collection of operations on A (typically binary operations such as addition and multiplication), and a finite set of identities, known as axioms, that these operations must satisfy.
See Derivative algebra and Algebraic structure
Cross product
In mathematics, the cross product or vector product (occasionally directed area product, to emphasize its geometric significance) is a binary operation on two vectors in a three-dimensional oriented Euclidean vector space (named here E), and is denoted by the symbol \times.
See Derivative algebra and Cross product
Derivation (differential algebra)
In mathematics, a derivation is a function on an algebra that generalizes certain features of the derivative operator.
See Derivative algebra and Derivation (differential algebra)
Derivative algebra (abstract algebra)
In abstract algebra, a derivative algebra is an algebraic structure of the signature where is a Boolean algebra and D is a unary operator, the derivative operator, satisfying the identities.
See Derivative algebra and Derivative algebra (abstract algebra)
Differential geometry
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds.
See Derivative algebra and Differential geometry
Endomorphism ring
In mathematics, the endomorphisms of an abelian group X form a ring.
See Derivative algebra and Endomorphism ring
Euclidean vector
In mathematics, physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has magnitude (or length) and direction.
See Derivative algebra and Euclidean vector
Mathematical logic
Mathematical logic is the study of formal logic within mathematics.
See Derivative algebra and Mathematical logic
Mathematics
Mathematics is a field of study that discovers and organizes abstract objects, methods, theories and theorems that are developed and proved for the needs of empirical sciences and mathematics itself.
See Derivative algebra and Mathematics
Modal logic
Modal logic is a kind of logic used to represent statements about necessity and possibility.
See Derivative algebra and Modal logic
Non-associative algebra
A non-associative algebra (or distributive algebra) is an algebra over a field where the binary multiplication operation is not assumed to be associative.
See Derivative algebra and Non-associative algebra
Subalgebra
In mathematics, a subalgebra is a subset of an algebra, closed under all its operations, and carrying the induced operations.
See Derivative algebra and Subalgebra
Topological space
In mathematics, a topological space is, roughly speaking, a geometrical space in which closeness is defined but cannot necessarily be measured by a numeric distance.
See Derivative algebra and Topological space
Vector space
In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called ''vectors'', can be added together and multiplied ("scaled") by numbers called ''scalars''.
See Derivative algebra and Vector space
References
Also known as Derivative algebra (disambiguation).