From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/3091 Path: news.gmane.org!not-for-mail From: Andrej Bauer Newsgroups: gmane.science.mathematics.categories Subject: When are all monos regular? Date: Mon, 13 Mar 2006 16:01:17 +0100 Message-ID: <200603131601.18902.Andrej.Bauer@andrej.com> NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset="iso-8859-2" Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1241019089 7198 80.91.229.2 (29 Apr 2009 15:31:29 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:31:29 +0000 (UTC) To: categories Original-X-From: rrosebru@mta.ca Mon Mar 13 18:56:05 2006 -0400 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Mon, 13 Mar 2006 18:56:05 -0400 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.52) id 1FIvw6-0001Iq-8m for categories-list@mta.ca; Mon, 13 Mar 2006 18:54:46 -0400 Content-Disposition: inline Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 37 Original-Lines: 11 Xref: news.gmane.org gmane.science.mathematics.categories:3091 Archived-At: This might be an embarrassingly easy question, but I always get confused about it. When are all monos in an algebraic category regular (or more generally, when are all monos in a regular category regular)? What are some sensible sufficient or necessary conditions? For example, all monos in the category of groups are regular. How about the category of lattices, or lattices with a top element? Andrej Bauer