algebraic manifold meaning in English

代数流形

Since 1980s , many mathematicians have been engaged in studying the applications of the grobner basis such as solving the system of algebraic equations , factoring polynomials , testing primary ideals , factoring algebraic manifolds , decoding circular codes in corrected codes and algebraically geometrical codes , analyzing and synthesizing high dimensional linear recurring arrays in cryptology , dealing with multidimensional systematic theory , signaling , solving integer programming and so on
) bner基的应用研究包括代数方程组求解，多项式的因子分解，素理想的检验，代数流形的分解，纠错码中循环码和代数几何码的译码，密码学中高维线性递归阵列的分析与综合，多维系统理论，信号处理和求解整数规划等诸多领域。