| 投射余分解Gorenstein平坦复形 |
| |
| 引用本文： | 吴德军,赵自红. 投射余分解Gorenstein平坦复形[J]. 兰州理工大学学报, 2020, 46(6): 153 |
| |
| 作者姓名： | 吴德军 赵自红 |
| |
| 作者单位： | 兰州理工大学 理学院, 甘肃 兰州 730050 |
| |
| 基金项目： | 国家自然科学基金(11761047) |
| |
| 摘 要： | 引入了投射余分解Gorenstein平坦复形的概念. 证明了对任意结合环R,G是投射余分解Gorenstein平坦复形当且仅当每个层次的R-模Gm是投射余分解Gorenstein平坦模, 其中∀m∈Z. 同时研究了投射余分解Gorenstein平坦复形的基本性质, 并探讨了复形G的投射余分解Gorenstein平坦维数与每个层次的R-模Gm的投射余分解Gorenstein平坦维数的关系.
|
| 关 键 词： | PGF-复形 预包络 投射复形 |
| 收稿时间： | 2019-09-18 |
Projectively coresolved Gorenstein flat complexes |
| |
| WU De-jun,ZHAO Zi-hong. Projectively coresolved Gorenstein flat complexes[J]. Journal of Lanzhou University of Technology, 2020, 46(6): 153 |
| |
| Authors: | WU De-jun ZHAO Zi-hong |
| |
| Affiliation: | School of Science, Lanzhou Univ. of Tech., Lanzhou 730050, China |
| |
| Abstract: | The concept of projectively coresolved Gorenstein flat complex is introduced. Over an arbitrary associate ring R, it is proven that G is a projectively coresolved Gorenstein flat complex if and only if each R-module Gm is a projective coresolved Gorenstein flat module for all m∈Z.Meanwhile, basic properties of projectively coresolved Gorenstein flat complexes are studied, and the relationship between projectively coresolved Gorenstein flat dimension of complex G and projectively coresolved Gorenstein flat dimension of each R-module Gm is discussed. |
| |
| Keywords: | PGF-complex preenvelope projective complex |
|
| 点击此处可从《兰州理工大学学报》浏览原始摘要信息 |
|
点击此处可从《兰州理工大学学报》下载全文 |
|
