k上G-分次范畴的局部化Localization of G-graded Category over k
范馨香;张锦州;陈清华;
摘要(Abstract):
讨论k范畴,k上G-范畴,k上G-分次范畴在局部化下相应范畴的保持问题,考虑k上G-分次范畴的冲积范畴与局部化的关系,证明了[S-1]#G≌(#G)[S-1].
关键词(KeyWords): 局部化;k范畴;G-分次范畴
基金项目(Foundation): 福建省教育厅资助项目(JB09088)
作者(Authors): 范馨香;张锦州;陈清华;
参考文献(References):
- [1]Robert M Fossum,Phillip A Griffith,Idun Reiten.Trivial extensions of Abelian categories[M].Berlin-HeidelberNew York:Springer-Verlag,1975.
- [2]Cibils C,Eduardo N Marcos.Skew category,galois covering and smash product of a k-category[J].Proc AmetMath Soc,2006,134:39-50.
- [3]曾灿波,陈清华.k上G-分次范畴的平凡扩张[J].福建师范大学学报:自然科学版,2008,24(2):17-21.
- [4]Dragan Milicic.Lectures on derived categories[EB/OL].http://www.math.utah.edu/milicic/Eprints/dercat.pdf.
- [5]Lanes S M.Categories for the working mathematician[M].New York:Springer-Verlag,1998.
- [6]Nastasescus C,Oystaeyen F Van.Methods of graded rings[M].Berlin-Heidelber New York:Springer-Verlag,2004.
- [7]Frank W,Anderson Kent R Fuller.Rings and categories of modules[M].New York:Spring-Verlag,1992.