基本解释：非交换唯一因子分解
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From field to unique factorization domain and its application;从域到唯一分解环及其应用
On the unique factorization domain,it gives the generalized result about the system of bivariate homogeneous nonconstant polynomials, and hence obtains the generalized result about the system of univariate nonconstant polynomials.推广了ＫｕｎｉｏＫａｋｉｅ定理，得到了其在唯一分解环上关于一般二元齐次非常元多项式系的相应结果；并进一步给出了其在唯一分解环上关于一般一元非常元多项式系的对应形式。
This paper generalizes the classical result, the existence criterion of nonconstantcommon divisors of two polynomials in the polynomial ring R[ x], and obtains the corresponding result abeut a general polyndrial system in the polynmial ring R[x], where R isan unique factorization domain.推广了经典结果，即唯一分解环R上多项式环R[x]中两个多项式的非常无公因子存在性判别准则，得到了唯一分解环R上多项式环R[x]中的一般多项式系与之相应的结果。
By unique factorization, the ideal(f)is prime.由唯一因子分解定理推出理想（f）是一个素理想。
Factorization in Rings of Polynomials in One Indeterminate Over a Unique Factorization Domain;唯一分解环上的一元多项式环的因子分解
The Existence and Uniqueness of Solutions for the Systems of Mixed Monotone Operator Equations;混合单调算子方程组解的存在唯一性定理
The Existence of Uniqueness Theorens of the Solutions of Some Anti-mixed Monotone Operator Equations反向混合单调算子方程解的存在唯一性定理
Teaching Study of Sole Existence Theorem of Solution to Ordinary Differential Equations常微分方程解的存在唯一性定理教学研究
On Application of Analytic Function Uniqueness Theorem on Complex Integral解析函数唯一性定理在复积分上的应用
Three-Paraboloid-Theorem of Heat Function and the Unique Theorem of Solution;热方程的三抛物面定理和解的唯一性
By using a fixed point theorem in cones, we investigate a second-order equation and the theorem of existence of unique positive periodic solution is given.应用不动点定理，研究了一类二阶时滞微分方程，给出了其唯一周期正解的存在性定理。
Note to the Availability and Singleness of a Resolution;关于解的存在性与唯一性定理的一点注记
The Existence,Uniqueness And Stability Of Periodic Solutions For Differential Equations;一类微分方程周期解的存在性与唯一性、稳定性
Brownian Motion and Some Uniqueness Theorems of Analytic Functions布朗运动与解析函数的几个唯一性定理
Analytic function uniqueness theorem is in application in Q-series解析函数唯一性定理在Q-级数中的应用
The only way off the merry-go-round therefore is to understand; and through understanding to forgive.因此，离开重复的唯一方法就是去理解，并透过理解去宽恕。
The Reform of Solutions of Existence and Uniqueness of Group forOrdinary Differential Equations Instruction;常微分方程课程中的线性微分方程组的解的存在唯一性定理的教学改革探讨
Existence and uniqueness theorems of solutions for systems of mixed monotone operator equations;混合单调算子方程组的存在唯一性定理
The Existence and Uniqueness and Stability of Periodic Solutions and Almost Periodic Solutions for a Class of Functional Differential Equations;一类泛函微分方程的周期解及概周期解的存在性、唯一性及稳定性
The existence and uniqueness of global solution for a kind of partial differentions on the human population mathematical model with immigration;带移民因素的一类偏微分人口模型整体解的存在唯一性
The existence and uniqueness and stability of periodic solution to a class of neutral functional differential equation一类中立型泛函微分方程的周期解的存在性、唯一性与稳定性
