Skip to main content
SpringerLink
Log in

Tilting modules over path algebras of Dynkin type and complete slice modules

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

Let T be a tilting A-module over a path algebra of Dynkin type. We prove that if the indecomposable direct summands of T are in the different τ-orbits of the AR-quiver of A, then T is a complete slice module.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Happel, D., Ringel C. M., Tilted algebras, Trans. Amer. Math. Soc., 1982, 274: 399–433.

    Article  MATH  MathSciNet  Google Scholar 

  2. Ringel, C. M., Tame Algebra and Integral Quadratic Forms, Lecture Notes in Mathematics, Vol. 1099, New York: Springer-Verlag, 1984.

    Google Scholar 

  3. Zhang, P., Separating tilting modules, Chinese Science Bulletin, 1992, 37(12): 975–978.

    MATH  Google Scholar 

  4. Ringel, C. M., Vossieck D., Hammocks, Proc. London Math. Soc., 1987, 54(3): 216–246.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Huaqiao University, 362011, Quanzhou, China

    Minxiong Wang

  2. Department of Mathematics, Xiamen University, 361005, Xiamen, China

    Yanan Lin

Authors
  1. Minxiong Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Yanan Lin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Minxiong Wang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, M., Lin, Y. Tilting modules over path algebras of Dynkin type and complete slice modules. Sci. China Ser. A-Math. 48, 97–106 (2005). https://doi.org/10.1360/03ys0149

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1360/03ys0149

Keywords

Search

Navigation