108 citations · 754 across the 37 of their papers we have counts for
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Locally well generated homotopy categories of complexes
Jan Stovicek
We show that the homotopy category of complexes K(B) over any finitely accessible additive category B is locally well generated. That is, any localizing subcategory L in K(B) which…
The telescope conjecture for hereditary rings via Ext-orthogonal pairs
Henning Krause, Jan Stovicek
For the module category of a hereditary ring, the Ext-orthogonal pairs of subcategories are studied. For each Ext-orthogonal pair that is generated by a single module, a 5-term exa…
Telescope conjecture, idempotent ideals, and the transfinite radical
Jan Stovicek
We show that for an artin algebra , the telescope conjecture for module categories is equivalent to certain idempotent ideals of mod- being generated by identity morphisms. A…
The countable Telescope Conjecture for module categories
Jan Saroch, Jan Stovicek
By the Telescope Conjecture for Module Categories, we mean the following claim: "Let R be any ring and (A, B) be a hereditary cotorsion pair in Mod-R with A and B closed under dire…