| 形式三角矩阵环的Gorenstein遗传性和FP-内射性 |
| |
| 引用本文： | 闫美琪,姚海楼. 形式三角矩阵环的Gorenstein遗传性和FP-内射性[J]. 数学研究及应用, 2020, 40(6): 596-608 |
| |
| 作者姓名： | 闫美琪 姚海楼 |
| |
| 作者单位： | 北京工业大学理学部数学学院, 北京 100124 |
| |
| 基金项目： | 国家自然科学基金(Grant No.11671126) |
| |
| 摘 要： | 我们研究了形式三角矩阵环上模的Gorenstein(半遗传)遗传性,有限表现性和FP-内射性.给出了形式三角矩阵环是Gorenstein(半遗传)遗传的充要条件,并得出了形式三角矩阵环是n-FC环的充分条件.
|
| 关 键 词： | Gorenstein (半遗传)遗传 形式三角矩阵环 FP-内射模 n-FC环 |
| 收稿时间： | 2019-11-19 |
| 修稿时间： | 2020-08-01 |
Gorenstein Hereditary and $FP$-Injectivity over Formal Triangular Matrix Rings |
| |
| Meiqi YAN,Hailou YAO. Gorenstein Hereditary and $FP$-Injectivity over Formal Triangular Matrix Rings[J]. Journal of Mathematical Research with Applications, 2020, 40(6): 596-608 |
| |
| Authors: | Meiqi YAN Hailou YAO |
| |
| Affiliation: | School of Mathematics, Faculty of Science, Beijing University of Technology, Beijing 100124, P. R. China |
| |
| Abstract: | In this paper we study Gorenstein (semiheredity) heredity, finite presentedness and $FP$-injectivity of modules over a formal triangular matrix ring. We provide necessary and sufficient conditions for such rings to be Gorenstein (semihereditary) hereditary and investigate when a triangular matrix ring is an $n$-$FC$ ring. |
| |
| Keywords: | Gorenstein (semihereditary) hereditary formal triangular matrix ring $FP$-injective module $n$-$FC$ ring |
|
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
|
点击此处可从《数学研究及应用》下载全文 |
