Silting Complexes and Partial Tilting Modules

Jiaqun Wei
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Jiaqun Wei: Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

Mathematics, 2020, vol. 8, issue 10, 1-7

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.

Keywords: partial tilting module; silting complex; complement; simple module (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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