division subalgebra

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• Clifford 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… …   Wikipedia

• Algebra over a field — This article is about a particular kind of vector space. For other uses of the term algebra , see algebra (disambiguation). In mathematics, an algebra over a field is a vector space equipped with a bilinear vector product. That is to say, it is… …   Wikipedia

• Octonion — In mathematics, the octonions are a normed division algebra over the real numbers, usually represented by the capital letter O, using boldface O or blackboard bold . There are only four such algebras, the other three being the real numbers R, the …   Wikipedia

• analysis — Synonyms and related words: Baconian method, Boolean algebra, Euclidean geometry, Fourier analysis, Lagrangian function, a fortiori reasoning, a posteriori reasoning, a priori reasoning, abstraction, accounting, airing, algebra, algebraic… …   Moby Thesaurus

• Classification of Clifford algebras — In mathematics, in particular in the theory of nondegenerate quadratic forms on real and complex vector spaces, the finite dimensional Clifford algebras have been completely classified in terms of isomorphisms that preserve the Clifford product.… …   Wikipedia

• Non-associative algebra — This article is about a particular non associative structure known as a non associative algebra. See also the article about non associativity in general. A non associative algebra[1] (or distributive algebra) over a field (or a ring) K is a K… …   Wikipedia

• Banach 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… …   Wikipedia

• Kernel (algebra) — In the various branches of mathematics that fall under the heading of abstract algebra, the kernel of a homomorphism measures the degree to which the homomorphism fails to be injective. An important special case is the kernel of a matrix, also… …   Wikipedia

• arithmetic — Synonyms and related words: Boolean algebra, Euclidean geometry, Fourier analysis, Lagrangian function, algebra, algebraic geometry, analysis, analytic geometry, associative algebra, binary arithmetic, calculation, calculus, ciphering, circle… …   Moby Thesaurus

• mathematics — Synonyms and related words: Boolean algebra, Euclidean geometry, Fourier analysis, Lagrangian function, algebra, algebraic geometry, algorism, algorithm, analysis, analytic geometry, applied mathematics, arithmetic, associative algebra, binary… …   Moby Thesaurus

• trigonometry — Synonyms and related words: Boolean algebra, Euclidean geometry, Fourier analysis, Lagrangian function, algebra, algebraic geometry, analysis, analytic geometry, arithmetic, associative algebra, binary arithmetic, calculus, circle geometry,… …   Moby Thesaurus