加法范畴的推出范畴的幂等完备化  

The Idempotent Completion on the Pushouts Category of Additive Category

作　　者：连冠勤[1] 

机构地区：[1]福建师范大学人民武装学院,福建福州350007

出　　处：《莆田学院学报》2010年第5期11-13,共3页Journal of putian University

摘　　要：考虑加法范畴的推出范畴的幂等完备化与加法范畴幂等完备化的推出范畴的关系,进一步证明了Abel范畴的推出范畴的幂等完备化与Abel范畴幂等完备化的推出范畴等价。This paper discusses the relationship between the idempotent completion on the pushouts category of additive category and the pushouts category of the idempotent completion of additive category.What＇s more,it shows that the idempotent completion on the pushouts category of abelian category is equivalent to the pushouts category of the idempotent completion of abelian category.

关 键 词：加法范畴 推出范畴 幂等完备化 ABEL范畴 范畴等价 

分 类 号：O154.1[理学—数学]