摘要
Abel群范畴是一个Abel范畴,在这个范畴中,两个子对象的交就是两个子群的交,两个子对象的并是由两个子群的并生成的子群.主要讨论了Abel范畴中两个对象的交与并的性质,并将其应用到Abel群范畴,得到一些群的同构关系式.
<Abstrcat> Abel group category is an abel category. In this category, the intersection of two subobjects is the intersection of two subgroups and the union of two subjects is the subgroup generated by the union of two subgroups. In this paper we discuss the properties for the intersection and union of two.
出处
《华中师范大学学报（自然科学版）》
CAS
CSCD
2005年第2期160-162,165,共4页
Journal of Central China Normal University：Natural Sciences
关键词
ABEL范畴
交
并
子对象
Abel category
intersection
union
subobject
