广义拉回与推出  

Generalized Pullbacks and Pushouts

作　　者：唐丽丹[1] 陈清华[1] 

机构地区：[1]福建师范大学数学与计算机科学学院,福州350007

出　　处：《数学学报（中文版）》2007年第4期759-774,共16页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金(10371101);福建省自然科学基金(Z0511022);福建省教育厅基金(JA05206)

摘　　要：利用逆向极限刻画集体拉回与I-拉回,探讨I-拉回与拉回间的关系;并把集体拉回和I-拉回统一起来,引入拉回的另一推广形式,即广义拉回,研究它在一般范畴及环、模范畴上的性质,应用到拉回环,得到拉回环上倾斜模间的关系及几类广义拉回环的同调维数的上界。This paper characterizes collective pullbacks and I-pullbacks by means of inverse limit and discusses the relationship between I-pullbacks and pullbacks. Finally, introduces generalized pullbacks which generalize pullbacks, collective pullbacks and I-pullbacks, investigates their properties both in general category and some concrete categories, discusses the relationship between tilting modules over pullback rings, obtains the upper bounds for the homological dimension of some generalized pullback rings.

关 键 词：集体拉回 I-拉回 广义拉回 

分 类 号：O153[理学—数学]