… We prove a constructive existence theorem for abelian envelopes of non-abelian monoidal
categories. This establishes a new tool for the construction of tensor categories. As an …

… about monoidal categories. In Section 2 we discuss the basics of abelian envelopes and
provide a self-contained proof for the fact that every tensor category is its own abelian envelope…

… Section 3 discusses the notion of a monoidal abelian envelope and gives certain criteria
to check whether a tensor category r is the abelian envelope of a given monoidal category. …

… C of cobordisms or a similar monoidal category and a multiplicative … abelian monoid EndC(1)
of endomorphisms of the identity object). The evaluation takes values in some commutative …

… We propose a construction of the monoidal envelope of ∞-operads in the model of Segal …
envelopes, and deduce a straightening/unstraightening equivalence for dendroidal spaces. …

… abelian envelopes’ which completes the notion of monoidal … as soon as there exist such
faithful monoidal functors, then \({\… of local abelian envelopes, which together play the role of an …

… -operads via envelopes. In this section we will use the symmetric monoidal envelope functor
to give … categories whose underlying set of objects is a free commutative monoid, while our …

… A fully faithful embedding of a pseudo-tensor category into a tensor category with an
appropriate universal property is known as an abelina envelope of the pseudo-tensor …

… for “monoid-like” objects in monoidal model categories. These in… cusa computes the derived
modular envelope of several cyclic … yes Modules over a commutative monoid in a monoidal …

… Proposition 3 Let F : G → H is a right exact monoidal functor between abelian monoidal
categories with right biexact tensor products. Then for any k-algebra K the homomorphism of …