prime decomposition

prime decomposition
The factorization of an integer into prime numbers.

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  • Prime decomposition (3-manifold) — In mathematics, the prime decomposition theorem for 3 manifolds states that every compact, orientable 3 manifold is the connected sum of a unique (up to homeomorphism) collection of prime 3 manifolds.A manifold is prime if it cannot be presented… …   Wikipedia

  • Decomposition (disambiguation) — Decomposition may refer to the following: Decomposition, biological process through which organic material is reduced Chemical decomposition or analysis, in chemistry, is the fragmentation of a chemical compound into elements or smaller compounds …   Wikipedia

  • prime factorization — noun The factorization of a positive integer into its constituent prime numbers Syn: integer factorization, prime decomposition …   Wiktionary

  • Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… …   Wikipedia

  • Manifold decomposition — In topology, a branch of mathematics, a manifold M may be decomposed or split by writing M as a combination of smaller pieces. When doing so, one must specify both what those pieces are and how they are put together to form M. Manifold… …   Wikipedia

  • Théorème de décomposition de Milnor — En mathématiques, et plus précisément en géométrie, le théorème de décomposition de Milnor, appelé aussi théorème de décomposition des 3 variétés, ou théorème de Kneser Milnor, affirme que toute variété compacte et orientable de dimension 3 est… …   Wikipédia en Français

  • Splitting of prime ideals in Galois extensions — In mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers OK factorise as products of prime ideals of OL, provides one of the richest parts of… …   Wikipedia

  • Modular decomposition — In graph theory, the modular decomposition is a decomposition of an undirected graph into subsets of vertices called modules. A module is a generalization of a connected component of a graph. Unlike connected components, however, one module can… …   Wikipedia

  • Jordan–Chevalley decomposition — In mathematics, the Jordan–Chevalley decomposition, named after Camille Jordan and Claude Chevalley (also known as Dunford decomposition, named after Nelson Dunford, as well as SN decomposition), expresses a linear operator as the sum of its… …   Wikipedia

  • Algorithme de décomposition en produit de facteurs premiers — En mathématiques, dans la branche de l arithmétique modulaire, un algorithme de décomposition en produit de facteurs premiers est un algorithme (un processus pas à pas) par lequel un entier est « décomposé » en un produit de facteurs… …   Wikipédia en Français

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