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Silting Complexes and Partial Tilting Modules

Author

Listed:
  • Jiaqun Wei

    (Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
    Current address: Institute of Mathematics, School of Mathematics Sciences, Nanjing Normal University, Nanjing 210023, China.)

Abstract

It is well known that a partial tilting module may not be completed to a tilting module. However, it is still unknown whether a partial tilting module can be completed to a silting complex. The affirmative answer to this question will give an affirmative answer to the well-known rank question for tilting modules. In this paper, we prove that a partial tilting simple module can always be completed to a silting complex. More generally, we give the sufficient conditions for a partial tilting module to be completed to a silting complex.

Suggested Citation

  • Jiaqun Wei, 2020. "Silting Complexes and Partial Tilting Modules," Mathematics, MDPI, vol. 8(10), pages 1-7, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1736-:d:425969
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