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math.CT2026
Characterizations of higher derivations and higher differential torsion theories in Eilenberg-Moore categories of monads
Dipti Paik, Divya Ahuja, Surjeet Kour
Let be a monad on a category . In this paper, we introduce the notion of higher derivations on the monad and characterize them in terms of ordinary derivations…
math.CT2024
Differential torsion theories on Eilenberg-Moore categories of monads
Divya Ahuja, Surjeet Kour
Let be a Grothendieck category and be a monad on that is exact and preserves colimits. In this article, we prove that every hereditary torsion theory…
math.CT2023
Eilenberg-Moore categories and quiver representations of monads and comonads
Divya Ahuja, Abhishek Banerjee, Surjeet Kour +1
We consider representations of quivers taking values in monads or comonads over a Grothendieck category . We treat these as scheme like objects whose ``structure sheaf'…