... algebraic irrational number 代数无理数 integral algebraic number 代数整数 algebraische Zahl algebraic number 代数数 ...
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... algebraic integral number 代数整数 algebraic irrational number 代数无理数 prime algebraic integral number 质代数整数 ...
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is not 1, we will first apply its corresponding unique factorization theory of ideal in algebraic integer domain ,then apply the property of principal ideal domain being unique factorization domain to solve.
的类数不为1,则先应用其相应的代数整数环上理想的惟一分解定理进行讨论,然后在根据主理想整环是惟一因子分解整环进行求解。
参考来源 - 关于不定方程x~2+5=p~n·2,447,543篇论文数据，部分数据来源于NoteExpress
代数整数环的每个子环都不是归纳环。
Every subring of the ring of algebraic integers is non-inductive.
Computations in Commutative Algebra (CoCoA)是另一个免费计算机代数系统，用于处理超大型整数、有理数和多项式。
Computations in Commutative algebra (CoCoA) is another free computer algebra system for working with very large integers, rational Numbers, and polynomials.
计算机代数系统的处理对象虽然是符号公式，但也需要整数运算，并且需要的是无限精度整数运算。
Although the objects processed by a computer algebra system are usually symbolic formulae, it is necessary for the system to operate with integers and even with infinite integers.
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