|
|||||
|
|
On the completeness of factor rings |
|
| Authors: | S Loepp C Rotthaus |
| Institution: | Department of Mathematics and Statistics, Williams College, Williamstown, Massachusetts 01267 ; Department of Mathematics, Michigan State University, East Lansing, Michigan 48824 |
| Abstract: | Let  be a complete local domain containing the integers with maximal ideal  such that  is at least the cardinality of the real numbers. Let  be a nonmaximal prime ideal of  such that  is a regular local ring. We construct an excellent local ring  such that the completion of  is  , the generic formal fiber of  is local with maximal ideal  and if  is a nonzero ideal of  , then  is complete. |
| Keywords: | Local rings completions factor rings excellent rings |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 | |