相对Semicocritical模  

Relative Semicocritical Module

作　　者：赖弋新[1] 

机构地区：[1]青岛大学师范学院数学系,山东青岛266071

出　　处：《青岛大学学报（自然科学版）》2009年第3期4-8,共5页Journal of Qingdao University(Natural Science Edition)

摘　　要：TatswoIzawa曾给出了相对Noetherian条件、相对Artinian条件及相对co-criti-cal模的概念,研究了相对合成列,用同调代数的方法,对链条件和相对链条件进行了讨论。Tatswo Izawa gave the concepts of relative Noetherian condition, relative Artinian condition and relative co-critical module and studied the relative composition series. By using the homological algebra method, the chain condition and the relative chain condition are discussed. And then a sufficient and necessary condition for a module to be a relative semicocritical module is obtained.

关 键 词：稠密子模 Noether条件 Artinian条件 挠模 挠子模. 

分 类 号：O153.3[理学—数学]