在高等代数的教学教研中，经常要涉及到有关分式恒等问题。
During the teaching and research of higher mathematics, we often touch upon the problems about fraction identically equal.
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.
解答分式不等式，选用数轴标根法比代数方法有更高的正确率。
In solving rational inequalities, using the number line yields a higher correctness rate than using algebraic manipulations.
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.
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.
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