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加法范畴的推出范畴的幂等完备化
引用本文:连冠勤.加法范畴的推出范畴的幂等完备化[J].莆田高等专科学校学报,2010(5):11-13.
作者姓名:连冠勤
作者单位:福建师范大学人民武装学院,福建福州350007
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。

关 键 词:加法范畴  推出范畴  幂等完备化  Abel范畴  范畴等价

The Idempotent Completion on the Pushouts Category of Additive Category
LIAN Guan-qin.The Idempotent Completion on the Pushouts Category of Additive Category[J].Journal of Putian College,2010(5):11-13.
Authors:LIAN Guan-qin
Institution:LIAN Guan-qin(College of Military Studies,Fujian Normal University,Fuzhou Fujian 350007,China)
Abstract: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.
Keywords:additive category  pushouts category  idempotent completion  Abel category  category equivalence
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