4 citations · 8 across the 7 of their papers we have counts for
8 papers
A note on warpings of monoidal structures
Dimitri Chikhladze
In \cite{LS14} the analogy between the Kleisli construction and the construction of "warping a skew monoidale category" in the sense of \cite{LS12} was outlined. In this note we pr…
Lax formal theory of monads, monoidal approach to bicategorical structures and generalized operads
Dimitri Chikhladze
Generalized operads, also called generalized multicategories and -monoids, are defined as monads within a Kleisli bicategory. With or without emphasizing their monoidal nature,…
Representable (T, V)-categories
Dimitri Chikhladze, Maria Manuel Clementino, Dirk Hofmann
Working in the framework of -categories, for a symmetric monoidal closed category and a (not necessarily cartesian) monad , we present a common account to the study…
Lax monads, equipments and generalized multicategory theory
Dimitri Chikhladze
Generalized multicategories, also called -monoids, are well known class of mathematical structures, which include diverse set of examples. In this paper we construct a generaliz…
The Tannaka representation theorem for separable Frobenius functors
Dimitri Chikhladze
A weak bialgebra is known to be a special case of a bialgebroid. In this paper we study the relationship of this fact with the Tannaka theory of bialgebroids as developed in [4]. W…
A category of quantum categories
Dimitri Chikhladze
Quantum categories were introduced in [4] as generalizations of both bi(co)algebroids and small categories. We clarify details of that work. In particular, we show explicitly how t…