| 强余挠维数 |
| |
| 引用本文： | 张豫冈. 强余挠维数[J]. 重庆师范大学学报(自然科学版), 2023, 40(5): 108-112 |
| |
| 作者姓名： | 张豫冈 |
| |
| 作者单位： | 兰州工业学院 基础学科部， 兰州 730050 |
| |
| 基金项目： | 国家自然科学基金面上项目(No.12161049)；甘肃省自然科学基金项目(No.21JR1RA229)；甘肃省高等学校创新能力提升项目(No.2019A 146) |
| |
| 摘 要： | 为进一步研究模的平坦性与余挠性，引入强余挠维数的概念，证明了存在模使得非凝聚环上的强余挠维数严格大于余挠维数，刻画了环的整体强余挠维数的有限性。这一有限性为研究Gorenstein投射模和Gorenstein AC-投射模的一致性提供了新的思路。
|
| 关 键 词： | 强余挠模；强余挠维数；Gorenstein投射模；Gorenstein AC-投射模 |
Strongly Cotorsion Dimensions |
| |
| ZHANG Yugang. Strongly Cotorsion Dimensions[J]. Journal of Chongqing Normal University:Natural Science Edition, 2023, 40(5): 108-112 |
| |
| Authors: | ZHANG Yugang |
| |
| Affiliation: | Lanzhou Institute of Technology, Department of Basic Subjects, Lanzhou 730050, China |
| |
| Abstract: | In order to study the flat and cotorsion property of modules, the notion of strongly cotorsion dimension is introduced. It is proved that over a non-coherent ring, there exists a module whose strongly cotorsion dimension is strictly greater than its cotorsion dimesion, and some characterizations of the finiteness of global strongly cotorsion dimension of rings are given. This finiteness will provide some new thoughts to study the coincidence of the Gorenstein projective and Gorendtein AC-projective modules. |
| |
| Keywords: | strongly cotorsion modules strongly cotorsion dimension Gorenstein projective module Gorenstein AC-projective module |
|
| 点击此处可从《重庆师范大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《重庆师范大学学报(自然科学版)》下载全文 |
