直投（内）射模与Morita对偶  

Direct-projective(Injective) Modules and Morita Duality

作　　者：詹志辉 薛卫民 

出　　处：《福建师范大学学报（自然科学版）》1995年第4期9-13,共5页Journal of Fujian Normal University：Natural Science Edition

基　　金：国家教委基金

摘　　要：作为直投（内）射模的自然推广，本文引入Ｘ－直投（内）射模的概念，得到了若干性质，证明了直投射模与直内射模是一对Ｍｏｒｉｔａ对偶序对，并证明了如果Ｒ＿Ｕ＿Ｓ导出一个Ｍｏｒｉｔａ对偶，那么Ｒ的每个商环是左遗传的当且仅当Ｓ的每个商环是右遗传的．As a generalization of direct projective(injective) modules, introduces the concepts of X-direct projective(injective) modules, obtain some properties, and proves that the direct projectity and direct injectity are a pair of objects under Morita duality.Finally, proves that if RUS induces a Morita duality, then each factor ring of R is left hereditary if and only if each factor ring of S is right hereditary.

关 键 词：直投射模 直内射模 MORITA对偶 结合环 

分 类 号：O153.3[理学—数学]