Gorenstein projective modules over rings of Morita contexts  

作　　者：Qianqian Guo Changchang Xi 

机构地区：[1]School of Mathematical Sciences,Capital Normal University,Beijing 100048,China [2]School of Mathematical Sciences,Laboratory of Mathematics and Complex Systems(Ministry of Education of China),Beijing Normal University,Beijing 100875,China [3]School of Mathematics and Statistics,Shaanxi Normal University,Xi'an 710062,China

出　　处：《Science China Mathematics》2024年第11期2453-2484,共32页中国科学（数学英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.12031014 and 12226314)。

摘　　要：Under semi-weak and weak compatibility conditions of bimodules,we establish necessary and sufficient conditions of Gorenstein-projective modules over rings of Morita contexts with one bimodule homomorphism zero.This extends greatly the results on triangular matrix Artin algebras and on Artin algebras of Morita contexts with two bimodule homomorphisms zero in the literature,where only sufficient conditions are given under a strong assumption of compatibility of bimodules.An application is provided to describe Gorenstein-projective modules over noncommutative tensor products arising from Morita contexts.Our results are proved under a general setting of noetherian rings and modules instead of Artin algebras and modules.

关 键 词：Gorenstein-projective module noetherian ring noncommutative tensor product totally exact complex weakly compatible bimodule 

分 类 号：O153.3[理学—数学]