division algebra
31Clifford algebra — In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions.[1][2] The theory of Clifford algebras is intimately connected with the… …
32Banach algebra — In mathematics, especially functional analysis, a Banach algebra, named after Stefan Banach, is an associative algebra A over the real or complex numbers which at the same time is also a Banach space. The algebra multiplication and the Banach… …
33List of abstract algebra topics — Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. The phrase abstract algebra was coined at the turn of the 20th century to distinguish this …
34Central simple algebra — In ring theory and related areas of mathematics a central simple algebra (CSA) over a field K (also called a Brauer algebra after Richard Brauer), is a finite dimensional associative algebra A , which is simple, and for which the center is… …
35Frobenius theorem (real division algebras) — In mathematics, more specifically in abstract algebra, the Frobenius theorem, proved by Ferdinand Georg Frobenius in 1877, characterizes the finite dimensional associative division algebras over the real numbers. The theorem proves that the only… …
36Spacetime algebra — In mathematical physics, spacetime algebra is a name for the Clifford algebra C #x2113;1,3(R), which can be particularly closely associated with the geometry of special relativity and relativistic spacetime.It is a linear algebra allowing not… …
37Example of a non-associative algebra — This page presents and discusses an example of a non associative division algebra over the real numbers.The multiplication is defined by taking the complex conjugate of the usual multiplication: a*b=overline{ab}. This is a commutative, non… …
38Composition algebra — In mathematics, a composition algebra A over a field K is a unital (but not necessarily associative) algebra over K together with a nondegenerate quadratic form N which satisfies for all x and y in A.  The quadratic form N is often referred… …
39Galley division — In arithmetic, the galley method, also known as the batello or the scratch method, was the most widely used method of division in use prior to 1600. The names galea and batello refer to a boat which the outline of the work was thought to resemble …
40Relational algebra — Not to be confused with Relation algebra. Relational algebra, an offshoot of first order logic (and of algebra of sets), deals with a set of finitary relations (see also relation (database)) that is closed under certain operators. These operators …
