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20192026
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math.RA2026

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…

math.RA2026

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…

math.RA2025

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…

math.RA2025

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…

math.RA2022

Comodule theories in Grothendieck categories and relative Hopf objects

Mamta Balodi, Abhishek Banerjee, Surjeet Kour

We develop the categorical algebra of the noncommutative base change of a comodule category by means of a Grothendieck category . We describe when the resulting catego…