余有限分裂  

Cofinite Splitness

作　　者：赖弋新[1] 徐熙君[1] 

机构地区：[1]青岛大学师范学院数学系,山东青岛266071

出　　处：《德州学院学报》2013年第4期12-16,共5页Journal of Dezhou University

摘　　要：GORO.AZUMAYA在文献[1]中将纯正合列中的有限分裂情形进行了研究,V.A.HIREMATH等人在文献[2]给出了余纯正合列及余纯单态的概念并进行了系统的研究.本文给出了余有限分裂正合列,对余有限分裂正合列及余有限分裂单态射的性质作了讨论,得到了正合列是余有限分裂的两个充要条件.GORO.AZUMAYA studied the splitness of the exact sequence in documant[1],V.A.HIREMATH advanced the concepts of copure exact sequence and copure singlet and studied then systematically in document[2].In this paper,the concept of cofinite splitness exact sequence is advanced,the properties of cofinite splitness exact sequence and cofinite splitness exact sequence monomorphism are discussed,two sufficient and necessary conditions about＂exact sequence is cofinite splitness exact sequence＂are obtained

关 键 词：有限余生成模 正合列 短正合列 余有限分裂 

分 类 号：O153[理学—数学]