Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weights for Objects of Monoids   The main objective of the paper is to define the construction of the object
of monoids, over a monoidal category object in any 2-category with finite
products, as a weighted limit. To simplify the definition of the weight, we use
matrices of symmetric (possibly colored) operads that define some auxiliary
categories and 2-categories. Systematic use of these matrices of operads allows
us to define several similar objects as weighted limits. We show, among others,
that the constructions of the object of bi-monoids over a symmetric monoidal
category object or the object of actions of monoids along an action of a
monoidal category object can be also described as weighted limits.

4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs