On Partial Tilting Complexes |
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| Authors: | Hirotaka Koga |
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| Affiliation: | 1. Institute of Mathematics , University of Tsukuba , Ibaraki , Japan koga@math.tsukuba.ac.jp |
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| Abstract: | Let R be a commutative noetherian ring and A a noetherian R-algebra. Let P ? ∈ 𝒦b(𝒫 A ) with Hom𝒦(Mod-A)(P ?, P ?[i]) = 0 for i > 0. We will provide a sufficient condition for P ? to be a direct summand of a silting complex. Also, in case Hom𝒦(Mod-A)(P ?, P ?[i]) = 0 for i ≠ 0, we will provide a sufficient condition for P ? to be a direct summand of a tilting complex. |
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| Keywords: | Partial tilting complex Silting complex Tilting complex Tilting module |
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