π-凝聚环上的广义Morita对偶及Tilting定理  

THE GENERALIZATION OF MORITA DUALITY AND TILTING THEOREM OVER π-COHERENT RINGS

作　　者：刘敏[1] 李尚莹[2] 

机构地区：[1]宜宾学院数学系,四川宜宾644007 [2]内江师范学院数学系,四川内江641112

出　　处：《内江师范学院学报》2002年第4期6-13,共8页Journal of Neijiang Normal University

摘　　要：本文建立了 π-凝聚环上有限生成无挠模范畴的 Tilting定理及相关的广义Morita对偶。推广了 Colby有关In this paper, the tilting theorem is generalized to the finitely generated torsionless module categories overπ coherent rings and relate this theory to duality theory. Many important results for Noetherian rings have been generalized to π coherent rings.

关 键 词：Tilting定理 Π-凝聚环 有限生成无挠模 广义Morita对偶 余tilting对 余tilting模 

分 类 号：O153.3[理学—数学]