Gorenstein Hereditary and FP-Injectivity over Formal Triangular Matrix Rings  

作　　者：Meiqi YAN Hailou YAO 

机构地区：[1]School of Mathematics,Faculty of Science,Beijing University of Technology,Beijing 100124,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2020年第6期596-608,共13页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant No.11671126)。

摘　　要：In this paper we study Gorenstein(semiheredity)heredity,finite presentedness and F P-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.

关 键 词：Gorenstein(semihereditary)hereditary formal triangular matrix ring FP-injective module n-FC ring 

分 类 号：O153.3[理学—数学]