摘要
首先指出文献中的以下两个结论不正确:一个是关于R是T-非对称可得到R是-非自反的成立的充要条件;另一个是关于R是S-强完全的可得到R是-自反的成立的充要条件,并用反例说明这两个结论不正确的原因,同时给出正确的结论及详细论证。
In this paper, we firstly point out two incorrect conclusions as follows: The one conclusion is the sufficient and necessary condition of which T-asymmetry implies ε-irreflexivity The other one is the sufficient and necessary condition of which strong S-completeness implies ε- reflexivity , both are illustrated by two counterexamples. Meanwhile, correct versions of the propositions are given with proofs.
出处
《太原理工大学学报》
CAS
北大核心
2007年第3期275-277,共3页
Journal of Taiyuan University of Technology
基金
山西省回国留学人员科研基金资助项目(2006-23)