Divya Ahuja

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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 $T$ be a monad on a category $C$ . In this paper, we introduce the notion of higher derivations on the monad $T$ and characterize them in terms of ordinary derivations…

math.CT2025

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 $C$ . We treat these as scheme like objects whose ``structure sheaf'…

math.CT2024

Differential torsion theories on Eilenberg-Moore categories of monads

Divya Ahuja, Surjeet Kour

Let $C$ be a Grothendieck category and $U$ be a monad on $C$ that is exact and preserves colimits. In this article, we prove that every hereditary torsion theory…