摘要
文章借助格理论中的素元与余素元的定义,通过对偏序集上内部算子和闭包算子的研究,提出了素内部算子与素闭包算子的定义,讨论了它们与内部算子和闭包算子之间的联系,得到了相应的等价刻画,进一步丰富了偏序集上的算子理论.
In this paper, we firstly give a new definitions of the prime inner operator and prime closure operator through combining the definitions of prime element, co- prime element and inner operator , closure operator respectively, and then discuss the relation between the prime inner（closure） operator and the inner（closure） operator. Also some equivalent characterizations are obtained which generalize the operator theory further.
出处
《淮北师范大学学报（自然科学版）》
CAS
2012年第1期11-13,共3页
Journal of Huaibei Normal University：Natural Sciences
基金
国家自然科学基金资助项目(11171156)
关键词
素元
余素元
素内部算子
素闭包算子
prime element
co - prime element
prime inner operator
prime closure operator
