From: Steve Lack <s.lack@uws.edu.au>
To: lamarche <lamarche@loria.fr>, categories <categories@mta.ca>
Subject: Re: Question on terminology
Date: Sat, 06 Feb 2010 11:21:58 +1100 [thread overview]
Message-ID: <E1NdkHO-0001ox-5j@mailserv.mta.ca> (raw)
In-Reply-To: <E1NdY6y-0005St-Hw@mailserv.mta.ca>
I would suggest "cancellative categories" - I believe the corresponding term
"cancellative monoid" is standard.
Steve Lack.
On 5/02/10 4:39 AM, "lamarche" <lamarche@loria.fr> wrote:
>
> Is there a standard accepted name for categories all whose morphisms
> are both epi and mono? This includes groupoids, posets and preorders,
> along with free categories (from graphs), so it's not a trivial class
> at all.
>
> I am leaning towards calling them "integral categories", by analogy
> with integral domains, but Google searches have been frustrating.
> Another possiblility would be "cancellation categories" (they have
> both the left and right cancellation property), but I'm not sure I
> like this one.
>
> Is there anything about these in the literature already?
>
> Thanks in advance,
>
> François
>
>
>
>
>
>
>
> [For admin and other information see: http://www.mta.ca/~cat-dist/ ]
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2010-02-06 0:21 UTC|newest]
Thread overview: 8+ messages / expand[flat|nested] mbox.gz Atom feed top
2010-02-04 17:39 lamarche
2010-02-06 0:12 ` Toby Bartels
2010-02-06 0:21 ` Steve Lack [this message]
2012-08-24 19:03 question " claudio pisani
2012-08-25 3:35 Fred E.J. Linton
[not found] <977qHyDIk8016S03.1345865710@web03.cms.usa.net>
2012-08-25 13:58 ` claudio pisani
2012-08-27 22:03 ` David Roberts
2012-08-26 4:59 Fred E.J. Linton
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