期刊文献+

扩张代数的recollement 被引量:3

原文传递
导出
摘要 设A是任意域k上的有限维代数。证明了:若无界导出模范畴D^-(Mod-A)允许有关于有限维k-代数B和C的无界导出模范畴D^-(Mod-B)和D^-(Mod-C)的对称的recollement D^-(Mod-B)D^-(Mod-A)D^-(Mod-C),则A的平凡扩张代数T(A)的无界导出模范畴D^-(Mod-T(A))也允许有如下对称的recollement: D^-(Mod-T(B))D^-(Mod-T(A))D^-(Mod-T(C))。
出处 《中国科学(A辑)》 CSCD 北大核心 2003年第4期354-360,共7页 Science in China(Series A)
基金 国家自然科学基金(批准号:10071062) 福建省教育厅基金
  • 相关文献

参考文献11

  • 1杜先能.代数的导出等价[J].中国科学(A辑),1996,26(11):1002-1008. 被引量:2
  • 2Happel D. Triangulated categories in the representation theories of finite dimensional algebra. London Lecture Notes Series 119. New York: Cambridge University Press, 1988.
  • 3Rickard J. Morita theory for derived categories. J London Math Soc, 1989, 39(2): 436-456.
  • 4Rickard J. Derived categories and stable equivalence. J Pure and Appl Algebra, 1989, 61:303-317.
  • 5Hughes D, Waschbuesch J. Trivial extensions of tilted algebras. Proe London Math Soe, 1982, 46(3): 347-364.
  • 6Grothendieck A. Groups and classes des categories abeliennes et trianguliers complexe parfaits. In: LNM 589. New York: Springer-Verlag,1977, 351 -371.
  • 7Beilinson A A, Bernstein J, Deligne P. Faisceaux pervers, in: Analyse et topologie sur les espaces singuliers.Asterisque, 1982, 100:1-172.
  • 8Cline E, Parshall B, Scott L. Finite dimensional algebras and hight weightest categories. J Reine Angew Math, 1988, 391:85-99.
  • 9Cline E, Parshall B, Scott L. Algebraic stratification in representative categories. J of Algebra, 1988, 117:504-521.
  • 10Koenig S. Tilting complexes, perpendicular categories and recollements of derived module categories of rings.J Pure and Appl Algebra, 1991, 73:211-232.

共引文献1

同被引文献51

  • 1王忠梅.由Recollement导出的t-结构的非退化性和有界性[J].厦门大学学报(自然科学版),2006,45(1):10-13. 被引量:1
  • 2杜先能.代数的导出等价[J].中国科学(A辑),1996,26(11):1002-1008. 被引量:2
  • 3Beilinson A, Bernstein J, Deligne P. Faisceaux pervers. In: Analyse et topologie sur les espaces singuliers. Asterisque, 100. Paris: Soc Math France, 1982, 5-17.
  • 4Cline E, Parshall B, Scott L. Algebraic stratification in representation in representation categories. J Algebra, 117:504-521 (1988).
  • 5Cline E, Parshall B, Scott L. Finite dimensional algebras and highest weight categories. J Reine Angew Math, 391:85-99 (1988).
  • 6MacPherson R, Vilonen K. Elementary construction of perverse sheaves. Invent Math, 84:403-436 (1986).
  • 7Happel D. Triangulated categories in the representation theory of finite dimensional algebras. In: London Math Soc Lecture Notes Ser. 119. Cambridge: Cambridge University Press, 1988.
  • 8Koenig S, Zhu B. From triangulated categories to abelian categories: cluster tilting in a general framework. Math Z, 258(1): 143 160 (2008).
  • 9Chen Q, Tang L. Recollements, idempotent completions and t-structures of triangulated categories. J Algebra, 319:3053-3061 (2008).
  • 10Franjou V, Pirashvili T. Comparison of abelian categories recollement. Doc Math, 9:41-56 (2004).

引证文献3

二级引证文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部