The Relation between Tn-Tilting Modules and n-Term Silting Complexes

I. Muchtadi-Alamsyah , Yann Palu (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

In this paper, we define support Tn-tilting modules over a finite dimensional k-algebra A. We establish a bijection between support Tn-tiltmg modules and n-term silting complexes in the bounded homotopy category of finitely generated projective A-modules, generalizing the result of Adachi, Iyama and Reiten for support T-tilting modules and two-term silting complexes. \textcopyright 2021. All Rights Reserved.

Domaines: Mathématiques [math]

I. Muchtadi-Alamsyah, Yann Palu. The Relation between Tn-Tilting Modules and n-Term Silting Complexes. International Journal of Mathematics and Computer Science, 2021, 16 (3), pp.885--896. ⟨hal-03698662⟩