8 papers · 1 filter
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…
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…
Entwined comodules and contramodules over coalgebras with several objects: Frobenius, separability and Maschke theorems
Abhishek Banerjee, Surjeet Kour
We study module like objects over categorical quotients of algebras by the action of coalgebras with several objects. These take the form of ``entwined comodules'' and ``entwined c…
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'…
Measurings of Hopf algebroids and morphisms in cyclic (co)homology theories
Abhishek Banerjee, Surjeet Kour
In this paper, we consider measurings between Hopf algebroids and show that they induce morphisms on cyclic homology and cyclic cohomology. We also consider comodule measurings bet…
Noncommutative supports, local cohomology and spectral sequences
Abhishek Banerjee, Surjeet Kour
The purpose of this paper is to study local cohomology in the noncommutative algebraic geometry framework of Artin and Zhang. The noncommutative spaces are obtained by base change…
On measurings of algebras over operads and homology theories
Abhishek Banerjee, Surjeet Kour
The notion of a coalgebra measuring, introduced by Sweedler, is a kind of generalized ring map between algebras. We begin by studying maps on Hochschild homology induced by coalgeb…