k上G-分次范畴的平凡扩张Trivial Extensions of G-graded Categories over k
曾灿波;陈清华;
摘要(Abstract)：
设G为群,X为k上G-分次范畴.在定义C上k-函子F的基础上,证明了平凡扩张范畴C∝F仍为k上G-分次范畴;当F为X上分次k-函子时,给出了一族范畴同构,即r∈N(G),有(C#G)∝(F#r)(C∝F)r#G.
关键词(KeyWords)： G-分次范畴;平凡扩张;分次k-函子
基金项目(Foundation): 国家自然科学基金资助项目(1037110110671161);; 福建省自然科学基金资助项目(Z0511022);; 福建省教育厅基金资助项目(JB04215JA050206JA06008)
作者(Authors): 曾灿波;陈清华;
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