Crane and Yetter (Deformations of (bi) tensor categories, Cahier de Topologie et Géometrie
Differentielle Catégorique, 1998) introduced a deformation theory for monoidal categories …

As shown in a previous paper by the same authors, the theory of Galois functors provides a
categorical framework for the characterisation of bimonads on any category as Hopf monads …

In this paper we define a cohomology theory for an arbitrary K-linear semistrict semigroupal
2-category (C,⊗)(called for short a Gray semigroup) and show that its first-order (unitary) …

We investigate functors between abelian categories having usomor-phic left and right
adjoint functors (these functors are called Frobenius Functors). They are characterized for …

An Embedding Theorem for Abelian Monoidal Categories Page 1 An Embedding Theorem for
Abelian Monoidal Categories PHUØ NG HO“'HA’ I Hanoi Institute of Mathematics, PO Box 631 …

We show that a Hopf algebroid can be reconstructed from a monoidal functor from a
monoidal category into the category of rigid bimodules over a ring. We study the …

In this paper we construct some new cohomologies and extensions in a symmetric monoidal
category A, and investigate the connection between them. In Section 0 we give some …

We give another proof of the fact that there is a dual equivalence between the $\infty $-
category of monoidal $\infty $-categories with left adjoint oplax monoidal functors and that …

A complex C m (C, D)(F, G)(η, θ), generalising the Davydov-Yetter complex of a monoidal
category [D],[Y], is constructed. Here C, D are k-linear (corresp., dg) monoidal categories, F …

The category of modules over a monoidal category: Abelian or not? Page 1 Ann. Univ. Ferrara -
Sez. VII - Sc. Mat. Vol. L, 167-185 (2004) The Category of Modules over a Monoidal Category …