6 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…
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…
A note on measurings and higher order Hochschild homology of algebras
Abhishek Banerjee, Surjeet Kour
We know that coalgebra measurings behave like generalized maps between algebras. In this note, we show that coalgebra measurings between commutative algebras induce morphisms betwe…
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…