广义有限表现模

Generalized Finitely-Presented-Modules

本文首先引进了广义有限表现模的概念,然后给出了广义有限表现模的结构定理(定理1.3),进而利用广义有限表现模的有限表现维数刻划了凝聚环(推论1.5,定理1.8),最后讨论了广义有限表现模的对偶模以及平坦模的投射性。

This paper introduces the concept of the generalized finitely-pres-entcd-modules and derives their structure theorem (Th 1.3) their finitely presented dimensions are used to characterize coherent rings. Finally the author deals with the dual modules of generalized finitely-presentcd-modules and the projectivity of the flat modules.