| 非单位κ-代数的局部循环同调及切除定理 |
| |
| 引用本文： | 牛文博.非单位κ-代数的局部循环同调及切除定理[J].数学年刊A辑(中文版),2005(6). |
| |
| 作者姓名： | 牛文博 |
| |
| 作者单位： | 复旦大学数学研究所 上海 |
| |
| 摘 要： | 本文定义了单位过滤k-代数和非单位过滤k-代数的局部Hochschild同调和局部循环同调,给出 了它们之间的局部Connes长正合列．进一步利用循环同调来计算局部循环同调的短正合列公式,讨论 了关于过滤k-代数局部循环同调的切除定理．
|
| 关 键 词： | 局部循环同调 局部Hochschild同调 切除定理 过滤k-代数 |
LOCAL CYCLIC HOMOLOGY OF NONUNITAL k-ALGEBRA AND EXCISION THEOREM |
| |
| NIU Wenbo Institute of Mathematics,Fudan University,Shanghai ,China..LOCAL CYCLIC HOMOLOGY OF NONUNITAL k-ALGEBRA AND EXCISION THEOREM[J].Chinese Annals of Mathematics,2005(6). |
| |
| Authors: | NIU Wenbo Institute of Mathematics Fudan University Shanghai China |
| |
| Institution: | NIU Wenbo Institute of Mathematics,Fudan University,Shanghai 200433,China. |
| |
| Abstract: | This paper defines the local Hochschild homology and local cyclic homology on both unital k-algebras and nonunital k-aglebras, and finds the local Connes' long exact sequence between them. By using the formula of cyclic homology to calculate local cyclic homology, the author discusses the excision theorem in local cyclic homology. |
| |
| Keywords: | Local cyclic homology Local Hochschild homology Excision theorem Filtered k-algebra |
| 本文献已被 CNKI 等数据库收录！ |
