11 papers
Hochschild theory of multiplicative sequences of algebras and coalgebra measurings
Abhishek Banerjee, Surjeet Kour, Dipti Paik
We study coalgebra measurings between multiplicative sequences of algebras and the maps induced by them on Hochschild homology. The Hochschild theory of multiplicative sequences is…
Coalgebra measurings, cyclic theory and homologies of matrix algebras
Abhishek Banerjee, Surjeet Kour
In this paper, we consider coalgebra measurings and the maps induced by them between Hochschild and cyclic homology of algebras. We show that these induced maps are well behaved wi…
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…
Categorification of modules and construction of schemes
Abhishek Banerjee, Subhajit Das, Surjeet Kour
We use categorification of monoid actions to study algebraic geometry over symmetric monoidal categories. This brings together the relative algebraic geometry over symmetric monoid…
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'…
Gerstenhaber type structures on Davydov-Yetter cohomology with coefficients
Mamta Balodi, Abhishek Banerjee, Surjeet Kour
We obtain Gerstenhaber type structures on Davydov-Yetter cohomology with coefficients in half-braidings for a monoidal functor. Our approach uses a formal analogy between half-brai…