From: John Baez <baez@math.ucr.edu>
To: categories <categories@mta.ca>
Subject: The PROP for commutative monoids
Date: Mon, 4 Jan 2016 15:13:03 -0800 [thread overview]
Message-ID: <E1aGGha-000675-Us@mlist.mta.ca> (raw)
Dear Categorists -
A student of mine is wondering who first noticed this fact: if you
take a skeleton of the category of finite sets and make it into a
strict symmetric monoidal category using cartesian product, it's the
"free strict symmetric monoidal category on a commutative monoid
object". Or in other words, it's the PROP for commutative monoids.
He noticed that in 2001, Teimuraz Pirashvili wrote a paper "On the
PROP corresponding to bialgebras":
http://arxiv.org/abs/math/0110014
Pirashvili says this fact is "well known", and gives a proof, but no reference.
Can you help us dig deeper? It's just a matter of getting the history right.
Best,
jb
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next reply other threads:[~2016-01-04 23:13 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
2016-01-04 23:13 John Baez [this message]
2016-01-09 13:34 Marco Grandis
Reply instructions:
You may reply publicly to this message via plain-text email
using any one of the following methods:
* Save the following mbox file, import it into your mail client,
and reply-to-all from there: mbox
Avoid top-posting and favor interleaved quoting:
https://en.wikipedia.org/wiki/Posting_style#Interleaved_style
* Reply using the --to, --cc, and --in-reply-to
switches of git-send-email(1):
git send-email \
--in-reply-to=E1aGGha-000675-Us@mlist.mta.ca \
--to=baez@math.ucr.edu \
--cc=categories@mta.ca \
/path/to/YOUR_REPLY
https://kernel.org/pub/software/scm/git/docs/git-send-email.html
* If your mail client supports setting the In-Reply-To header
via mailto: links, try the mailto: link
Be sure your reply has a Subject: header at the top and a blank line
before the message body.
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).