categories - Category Theory list
 help / color / mirror / Atom feed
From: Johannes Huebschmann <johannes.huebschmann@univ-lille.fr>
To: "categories@mta.ca list" <categories@mta.ca>
Cc: Johannes Huebschmann <johannes.huebschmann@univ-lille.fr>
Subject: Closed symmetric monoidal category
Date: Sat, 3 Aug 2019 11:04:00 +0200 (CEST)	[thread overview]
Message-ID: <E1huMJJ-00010e-7X@mlist.mta.ca> (raw)

Dear All

The category of modules over a differential graded
commutative algebra A,
with the tensor product over A
(suitably interpreted) as operation of composition,
the direct sum as operation of biproduct,
the algebra A as identity object,
and the interchange map (suitably interpreted) as
operation of braiding,
  is a closed symmetric monoidal
category (unless I am mistaken).

Is there a place in the literature where
this category is studied?

Best regards

Johannes



[For admin and other information see: http://www.mta.ca/~cat-dist/ ]


             reply	other threads:[~2019-08-03  9:04 UTC|newest]

Thread overview: 2+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2019-08-03  9:04 Johannes Huebschmann [this message]
2019-08-05 15:47 george.janelidze

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=E1huMJJ-00010e-7X@mlist.mta.ca \
    --to=johannes.huebschmann@univ-lille.fr \
    --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).