| 摘要: |
| 引进环的亚优越扩张的概念,并证明若S≥R是亚优越扩张,则S是左凝聚环当且仅当R是左凝聚环. |
| 关键词: 凝聚环 亚优越扩张 优越扩张 有限表现模 有限正规扩张 |
| DOI： |
| 投稿时间：2003-11-18 |
| 基金项目:教育部"优秀青年教师资助计划"(2002-40);广西自然科学基金(O135005);广西十百千人才基金(99217);广西师范大学科研基金资助项目 |
|
| Subexcellent Extensions of Rings |
|
Liao Yihua, Yi Zhong
|
| (College of Math & Comp Sci, Guangxi Normal Univ, Guilin, Guangxi, 541004, China) |
| Abstract: |
| The concept of subexcellent extension is introduced.It is proved that if S ≥ R is a sub excellent extension then S is left coherent ring if and only if R is left coherent ring. |
| Key words: coherent ring sub excellent extension excellent extension finitely presented module finite normalizing extension |
