From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/6359 Path: news.gmane.org!not-for-mail From: "Fred E.J. Linton" Newsgroups: gmane.science.mathematics.categories Subject: Terminological question, and more Date: Wed, 03 Nov 2010 17:40:46 -0400 Message-ID: Reply-To: "Fred E.J. Linton" NNTP-Posting-Host: lo.gmane.org Mime-Version: 1.0 Content-Type: text/plain; charset=ISO-8859-1 Content-Transfer-Encoding: quoted-printable X-Trace: dough.gmane.org 1288924052 18863 80.91.229.12 (5 Nov 2010 02:27:32 GMT) X-Complaints-To: usenet@dough.gmane.org NNTP-Posting-Date: Fri, 5 Nov 2010 02:27:32 +0000 (UTC) To: "categories" Original-X-From: majordomo@mlist.mta.ca Fri Nov 05 03:27:28 2010 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtpx.mta.ca ([138.73.1.114]) by lo.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1PEC1Y-0007Tq-4m for gsmc-categories@m.gmane.org; Fri, 05 Nov 2010 03:27:28 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:33534) by smtpx.mta.ca with esmtp (Exim 4.71) (envelope-from ) id 1PEC15-00016y-2g; Thu, 04 Nov 2010 23:26:59 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1PEC12-0002PJ-DL for categories-list@mlist.mta.ca; Thu, 04 Nov 2010 23:26:56 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:6359 Archived-At: I've been asked for "... the name given in an arbitrary category = to an object A for which every mono B----->A is an isomorphism." I'm stumped. Any ideas? I've also been asked to comment on whether "the inclusion Q >-------> R o= f = the ring of rational numbers into that of real ones is a bimorphism, in t= he = category Rng of rings with units and units preserving ring homomorphisms.= " Reflexively I think: monic, yes; epic, no, as permuting any two independe= nt transcendentals should extend to a non-identity automorphism of R over Q.= = Am I missing something here? TIA; and cheers, -- Fred [For admin and other information see: http://www.mta.ca/~cat-dist/ ]