associative theorem

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• Cox's theorem — Cox s theorem, named after the physicist Richard Threlkeld Cox, is a derivation of the laws of probability theory from a certain set of postulates. This derivation justifies the so called logical interpretation of probability. As the laws of… …   Wikipedia

• Poincaré–Birkhoff–Witt theorem — In the theory of Lie algebras, the Poincaré–Birkhoff–Witt theorem (Poincaré (1900), G. D. Birkhoff (1937), Witt (1937); frequently contracted to PBW theorem) is a result giving an explicit description of the universal enveloping algebra of a Lie… …   Wikipedia

• Fundamental theorem of arithmetic — In number theory, the fundamental theorem of arithmetic (or unique prime factorization theorem) states that every natural number greater than 1 can be written as a unique product of prime numbers. For instance, : 6936 = 2^3 imes 3 imes 17^2 , ,! …   Wikipedia

• Wilson's theorem — In mathematics, Wilson s theorem states that a natural number n > 1 is a prime number if and only if (see factorial and modular arithmetic for the notation). Contents 1 History 2 Proofs …   Wikipedia

• Zeckendorf's theorem — Zeckendorf s theorem, named after Belgian mathematician Edouard Zeckendorf, is a theorem about the representation of integers as sums of Fibonacci numbers.Zeckendorf s theorem states that every positive integer can be represented in a unique way… …   Wikipedia

• Frobenius 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… …   Wikipedia

• Sprague–Grundy theorem — In combinatorial game theory, the Sprague–Grundy theorem states that every impartial game under the normal play convention is equivalent to a nimber. The Grundy value or nim value of an impartial game is then defined as the unique nimber that the …   Wikipedia

• Skolem–Noether theorem — In mathematics, the Skolem–Noether theorem, named after Thoralf Skolem and Emmy Noether, is an important result in ring theory which characterizes the automorphisms of simple rings. The theorem was first published by Skolem in 1927 in his paper… …   Wikipedia

• Brauer–Nesbitt theorem — In mathematics, the Brauer Nesbitt theorem can refer to several different theorems proved by Richard Brauer and Cecil J. Nesbitt in the representation theory of finite groups. In modular representation theory,the Brauer Nesbitt theorem on blocks… …   Wikipedia

• Artin-Zorn theorem — In mathematics, the Artin Zorn theorem states that any finite alternative division ring is necessarily a finite field. It generalizes the Wedderburn theorem for finite associative division rings …   Wikipedia

• Representation theory — This article is about the theory of representations of algebraic structures by linear transformations and matrices. For the more general notion of representations throughout mathematics, see representation (mathematics). Representation theory is… …   Wikipedia