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The relation between $\tau_n$-tilting modules and $n$-term silting complexes
Intan Muchtadi(Institut Teknologi Bandung, Indonisia)
2018-01-01 12:13  »ª¶«Ê¦·¶´óÑ§

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In 2014, Adachi, Iyama and Reiten established a bijection between support $\tau$-tilting modules and two-term silting complexes in bounded homotopy category of finitely generated projective $\Lambda$-modules, where $\Lambda$ is a finite-dimensional $k$-algebra. In this paper, we define support $\tau_n$-tilting modules and generalize their results by establishing a bijection between support $\tau_n$-tilting modules and $n$-term silting complexes.