Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simplicial Endomorphisms   The monoids of simplicial endomorphisms, i.e. the monoids of endomorphisms in
the simplicial category, are submonoids of monoids one finds in Temperley-Lieb
algebras, and as the monoids of Temperley-Lieb algebras are linked to
situations where an endofunctor is adjoint to itself, so the monoids of
simplicial endomorphisms are linked to arbitrary adjoint situations. This link
is established through diagrams of the kind found in Temperley-Lieb algebras.
Results about these matters, which were previously prefigured up to a point,
are here surveyed and reworked. A presentation of monoids of simplicial
endomorphisms by generators and relations has been given a long time ago. Here
a closely related presentation is given, with completeness proved in a new and
self-contained manner.

30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg