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关于左三角范畴的一个注记

A note on a left triangulated category
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摘要 设C是abelian范畴,w、x是C的反变有限子范畴,且w■x,则加法范畴(C/w)/(x/w)是一个左三角范畴。 Based on the preposition that C be an abelian category, w, x be a contravariantly finite subcategory of C and w∈x,a conclusion that the additive category (C/x)/(x/w) is a left triangulated category is reached.
出处 《佛山科学技术学院学报(自然科学版)》 CAS 2011年第6期40-43,共4页 Journal of Foshan University(Natural Science Edition)
基金 安徽省教育厅自然科学研究重点项目
关键词 左三角范畴 反变有限 共变有限 left triangulated category contravariantly finite convariantly [inite
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参考文献5

  • 1BELIGIANNIS A,MARMARIDIS N. Left Triangulated Structures Arising from Contravariantly Finite Subeat- egories[J]. Comm in Algebra, 1994,22(5) :5021-5036.
  • 2ASSEM I, BELIGIANNIS A, MARMARIDIS N, Right Triangulated Categories with Right Semi-equivalences [J]. Canadian Math Soc Conf Proc, 1998,24:17-37.
  • 3XIN Lin, LIN Yanan. One-sided torsion pair[J]. Sci China Set A,2006,36(11):1234-1248.
  • 4AUSLANDER M,SMALO S O. Preprojective modules over artin algebras[J]. J of Algebra,1980, 66 :61-122.
  • 5BELIGIANNIS A. Homological and Homotopical Aspects of Torsion Theories[J]. Memoirs of the American Ma- thematical Society, 2907,188 : 79-98.

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