弱内射模与弱内射维数  

Weak injective module and weak injective dimension

作　　者：张龙[1] 

机构地区：[1]河海大学理学院,江苏南京210098

出　　处：《河海大学学报（自然科学版）》2003年第4期482-484,共3页Journal of Hohai University(Natural Sciences)

摘　　要：首先对内射模的概念进行推广,定义了弱内射模、弱内射维数及弱整体维数,并讨论弱内射维数为0和1的模的性质;其次,利用弱内射模的定义对内射模的Schanuel引理进行推广.By extension of the concept of injective modules, the weak injective module, weak injective dimension, and weak global dimension are defined, and the characteristics of the modules are discussed for injective dimensions 0 and 1. Moreover, the Schanuel lemma on injective modules is extended based on the definition of weak injective module. Finally, the homomorphism set that can be extended in the definition of weak injective module is discussed.

关 键 词：弱内射模 弱内射维数 弱整体维数 Schanuel引理 

分 类 号：O151[理学—数学]