We prove that the category of dg-coalgebras is symmetric monoidal closed and that the
category of dg-algebras is enriched, tensored, cotensored and strongly monoidal over that of …

We study the existence of universal measuring comonoids P (A, B) for a pair of monoids A, B
in a braided monoidal closed category, and the associated enrichment of the category of …

The universal (co) acting bi/Hopf algebras introduced by Yu.\, I.~ Manin, M.~ Sweedler and
D.~ Tambara, the universal Hopf algebra of a given (co) module structure, as well as the …

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 pursuit of a noncommutative spectrum functor, we argue that the Heyneman-Sweedler
finite dual coalgebra can be viewed as a quantization of the maximal spectrum of a …

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 …

The notion of a measuring coalgebra, introduced by Sweedler, induces generalized maps
between algebras. We begin by studying maps on Hochschild homology induced by …

For our concepts of change of base and comonadicity, we work in the general context of the
tricategory Caten whose objects are bicategories V and whose morphisms are categories …