摘要
本文提出了多元多项式重模剩余类环的概念,并将数论的研究方法推广到多元多项式重模剩余类环中,详细地讨论了二元多项式重模剩余类环的结构。环中元素可分两类:一类为可逆元,另一类为零因子;文中讨论了重模剩余类环为域的充要条件以及该环非域时环中可逆元与零因子的判别法;同时,文章还给出了用多元多项式环分模和模重构技术构造逆元和伴随零因子的方法。
In this paper the concept of reduplication modulus multivariate polynomial residue class rings has been set up, the method to study number theory is used, the composition of reduplication modulus duality polynomial residue class rings is discussed in detail . There are two kinds of elements in the rings. One is reversible element, and the other is zero divisor. The necessary and sufficient condition for reduplication modulus residue class rings to be fields and the judgment for reversible elements and zero divisors when the rings are not fields are also discussed . And the method to construct reversible elements and zero divisors with the use of divided and restructure modulus technology is given in the paper.
出处
《南华大学学报（理工版）》
2002年第1期27-31,共5页
Journal of Nanhua University(Science & Engineering)
