Multivariate polynomial reduplication modulus residue class rings 多元多项式重模剩余类环
The homlogical dimensions of the residue rings of power series rings 幂级数剩余类环的同调维数
A new description of cyclic codes over polynomial residue class rings 多项式剩余类环上循环码新的表示
Error - detecting codes ; ring of congruence classes ; probabilities detected of errors 检错编码剩余类环检错概率
In theorem 3 of this chapter , we prove that homological properities and homological dimensions of residue ring play very important roles . the homological properities and homological dimension of coordinate ring have been studied in the thesis of doctor yang jing - hua . in the second chapter , we generalize the results of coordinate ring to power se - ries residue ring 杨静化在其博士论文中对坐标环进行了同调刻画。我们在杨静化的博士论文基础上,把坐标环的同调性质和同调维数的相关结论推广到了幂级数剩余类环上。
In this paper , the fuzzy uniform ring , fuzzy uniform subring , fuzzy uniform residue class ring , and direct product of fuzzy uniform rings are defined ; the three necessary and sufficient conditions to describe fuzzy uniform ring by the fuzzy topological ring of type ( qu ) , by fuzzy uniform space and by a family of fuzzy subsets of a ring are obtained 摘要本文定义了模糊一致环概念,研究了它与模糊拓扑环的关系及它与模糊一致空间的关系;给出了借助于环的模糊子集族对模糊一致环的刻画,还引入了模糊一致子环,模糊一致剩余类环与模糊一致环的直积;并讨论了它们的分离性。