irreducible decomposition meaning in English
不可约分解
Examples
- A class of operators of strongly irreducible decompositions unique with respect to similarity
强不可约分解在相似下惟一的一类算子 - Application of irreducible decomposition of polynomials over algebraic extension fields in cryptography
代数扩张域上的多项式分解在密码学中的应用 - In the case of infinite domains , it is proven that there exists a maximal solution x " of a @ x = b such that x * x for every solution x of a @ x = b if the solution set of a @ x = b is unempty and b has an irredundant completely meet - irreducible decomposition . it is also identified that there exists a maximal solution x * of a @ x = b such that x * x for every solution x of a @ x = b if the solution set of a @ x = bis unempty and every component of b is dual - compact and has an irredundant finite - decomposition . in the end , a necssary and sufficient condition that there exists a maximal solution x * of a @ x = bsuch that x * x for every solution x of a @ x = b is given when the solution set of a @ x = b is unempty
当论域为无限集时，证明了如果方程a @ x = b有解且b有不可约完全交既分解，则对方程a @ x = b的每一个解至少存在一个大于等于它的极大解；进一步证明了如果方程a @ x = b有解且b的每一个分量为对偶紧元并有不可约有限交分解，则对方程a @ x = b的每一个解存在一个大于等于它的极大解；最后给出了对方程a @ x = b的每一个解存在一个大于等于它的极大解的一个充要条件及[ 0 ， 1 ]格上方程a @ x = b的解集中存在极大解的一个充要条件。