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From: lamarche <lamarche@loria.fr>
To: categories@mta.ca
Subject: Question on terminology
Date: Thu, 4 Feb 2010 18:39:32 +0100	[thread overview]
Message-ID: <E1NdY6y-0005St-Hw@mailserv.mta.ca> (raw)


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/ ]


             reply	other threads:[~2010-02-04 17:39 UTC|newest]

Thread overview: 8+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2010-02-04 17:39 lamarche [this message]
2010-02-06  0:12 ` Toby Bartels
2010-02-06  0:21 ` Steve Lack
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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