[HTML][HTML] Enriched duality in double categories: V-categories and V-cocategories
C Vasilakopoulou - Journal of Pure and Applied Algebra, 2019 - Elsevier
In this work, we explore a double categorical framework for categories of enriched graphs,
categories and the newly introduced notion of cocategories. A fundamental goal is to …
categories and the newly introduced notion of cocategories. A fundamental goal is to …
On enriched fibrations
C Vasilakopoulou - arXiv preprint arXiv:1801.01386, 2018 - arxiv.org
We introduce the notion of an enriched fibration, ie a fibration whose total category and base
category are enriched in those of a monoidal fibration in an appropriate way. Furthermore …
category are enriched in those of a monoidal fibration in an appropriate way. Furthermore …
Enriched duality in double categories II: modules and comodules
V Aravantinos-Sotiropoulos… - arXiv preprint arXiv …, 2024 - arxiv.org
In this work, we continue the investigation of certain enrichments of dual algebraic structures
in monoidal double categories, that was initiated in [Vas19]. First, we re-visit monads and …
in monoidal double categories, that was initiated in [Vas19]. First, we re-visit monads and …
Measurings of Hopf algebroids and morphisms in cyclic (co) homology theories
A Banerjee, S Kour - Advances in Mathematics, 2024 - Elsevier
In this paper, we consider coalgebra measurings between Hopf algebroids and show that
they induce morphisms on cyclic homology and cyclic cohomology. We also consider …
they induce morphisms on cyclic homology and cyclic cohomology. We also consider …
On measurings of algebras over operads and homology theories
A Banerjee, S Kour - Algebraic & Geometric Topology, 2022 - msp.org
The notion of a measuring coalgebra, introduced by Sweedler, induces generalized maps
between algebras. We begin by studying maps on Hochschild homology induced by …
between algebras. We begin by studying maps on Hochschild homology induced by …