Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (4): 654-660.

• Articles • Previous Articles     Next Articles

Quotient Categories and AR-triangles

 LIN Zeng-Qiang   

  1. School of Mathematical Sciences, Huaqiao University, Fujian |Quanzhou |362021
  • Received:2010-04-03 Revised:2012-03-29 Online:2012-08-25 Published:2012-08-25
  • Supported by:

    华侨大学高层次人才科研启动项目(08BS506)和国家自然科学基金(11101084)资助

Abstract:

Let D be a triangulated category and U be a triangulated subcategory of D. This paper mainly discusses the relationship between the AR-triangles of D and D/U. In particular, if D admits a recollement relative to D'  and D" , and D has AR-triangles, then D'  and D"  also have AR-triangles. Moreover, their AR-triangles are induced by the AR-triangles of D.

Key words: Quotient category, AR-triangle, Perpendicular category, Recollement

CLC Number: 

  • 18E30
Trendmd