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On silting complexes associated to n-silting modules
Michal Hrbek, Jiangsheng Hu, Rongmin Zhu
We show that any (n+1)-term silting complex whose intermediate cohomology vanishes gives rise to an n-silting module, as recently introduced by Mao. Specializing to commutative noe…
Telescope conjecture for quiver representations over artinian rings
Michal Hrbek, Enrico Sabatini
Let be the derived category of representations of a small category over a commutative noetherian ring . We study the homotopically smashing t-structures on…
Mutation and the Gabriel spectrum
Michal Hrbek, Sergio Pavon, Jorge Vitória
Mutations occur in multiple algebraic contexts, often enjoying good combinatorial properties. In this paper we study mutations of pure-injective cosilting objects in compactly gene…
Product-complete tilting complexes and Cohen-Macaulay hearts
Michal Hrbek, Lorenzo Martini
We show that the cotilting heart associated to a tilting complex is a locally coherent and locally coperfect Grothendieck category (i.e. an Ind-completion of a small artinian a…
Silting modules over commutative rings
Lidia Angeleri Hügel, Michal Hrbek
Tilting modules over commutative rings were recently classified in [12]: they correspond bijectively to faithful Gabriel topologies of finite type. In this note we extend this clas…