5 papers
Persistent Simple-homotopy invariants via discrete Morse theory
Divya Ahuja, Jaya NN Iyer, Priyavrat Deshpande +1
Persistent homology records the evolution of homological features along a filtration, but does not retain finer information related to simple-homotopy theory. In this paper, we dev…
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…
Galois measurings for noncommutative base change of entwined contramodule and entwined comodule categories
Divya Ahuja, Abhishek Banerjee, Surjeet Kour
We study the noncommutative base change of an entwining structure by a Grothendieck category , using two module like categories. These are the categories of…
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…
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'…