摘要
在文［１，２］的基础上推广了 ＨＸ环，提出了弱 ＨＸ环的概念，并重新讨论了拟商环．证明了在正则条件下拟商环与弱ＨＸ环的统一性；同时也得到了一致弱ＨＸ环与普通商环的关系．
The concept of weak HX ring is proposed based on paper[1, 2]and the quasi-quo- tient ring is rediscussed. Under some condition,some relations between quasi-quotient rings and weak HX rings are proved. Also some relations between uniform weak HX rings and quotient rings are obtaine.
出处
《纯粹数学与应用数学》
CSCD
2000年第3期21-26,共6页
Pure and Applied Mathematics
基金
国家自然科学基金!(69474014)
山东省自然科学基金!(Y98A05008)
关键词
HX环
弱HTX环
正则弱HX环
一致弱HX环
商环
拟商环
HX ring,weak HX ring,regular weak HX ring, uniform weak HX ring,quotient ring,quasi-quotient ring
