分式环和分式模以及与之相关的局部化方法是交换代数中一个重要工具。
The fractional ring(module)and the interrelated localization method are the important tools for commutative algebra.
这些结果无疑对更进一步研究分式环(模)及局部化方法，特别是投射几何代数的研究大有裨益。
These results will take an important part in studying fractional ring (module), localization method and projective geometry.
给出了分式半环的概念和泛性质。
The concept and the universal property of fractional semiring are given.
应用分式化方法刻画了唯一分解环上对称矩阵模的保持伴随函数的线性变换的形式。
By the fractional method, characterized the linear preservers of the adjoint function on the symmetric matrix module.
先构造交换半环关于其乘法封闭子集的分式半环；
First, semi ring of fractions of a semi ring about a multiplicative closed subset in it is constructed.
先构造交换半环关于其乘法封闭子集的分式半环；
First, semi ring of fractions of a semi ring about a multiplicative closed subset in it is constructed.
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