which means that every ideal can be decomposed as an intersection, called primary decomposition, of finitely many primary ideals (which are related to, but...

) {\displaystyle R/(q_{i})} are indecomposable, so the primary decomposition is a decomposition into indecomposable modules, and thus every finitely generated...

Decomposers are organisms that break down dead or decaying organisms; they carry out decomposition, a process possible by only certain kingdoms, such as...

generalizations. The primary decomposition formulation states that every finitely generated abelian group G is isomorphic to a direct sum of primary cyclic groups...

positive integer. Thus, a primary decomposition of (n) corresponds to representing (n) as the intersection of finitely many primary ideals. The Lasker–Noether...

p-group of prime power order Primary decomposition into primary ideals Primary ideals, concept in commutative algebra Primary number, positive integer power...

LU decomposition, a type of matrix factorization Permutation decomposition, decomposition of a permutation into disjoint cycles Primary decomposition, decomposition...

science which studies decomposition is generally referred to as taphonomy from the Greek word taphos, meaning tomb. Decomposition can also be a gradual...

ideal of a Noetherian ring has a primary decomposition, that is, can be written as an intersection of finitely many primary ideals. This result is known as...

is not a prime power. Prime powers are also called primary numbers, as in the primary decomposition. Prime powers are powers of prime numbers. Every prime...