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math.CT2022
The finite presentation of the stable Hom functors, the Bass torsion, and the cotorsion coradical
Alex Martsinkovsky
We provide necessary and/or sufficient conditions for the stable Hom functors to be finitely presented. When the covariant Hom functor modulo projectives is finitely presented, its…
math.CT2021
Cokernels in the stable category of a left hereditary ring
Dali Zangurashvili
It is proved that if a ring is left hereditary, left perfect and right coherent, then the stable category has cokernels. Moreover, we show that the condition for a ring to be left…
math.CT2013
On direct summands of homological functors on length categories
Alex Martsinkovsky
We show that direct summands of certain additive functors arising as bifunctors with a fixed argument in an abelian category are again of that form whenever the fixed argument has…