From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/3908 Path: news.gmane.org!not-for-mail From: Ross Street Newsgroups: gmane.science.mathematics.categories Subject: Re: "prime" monads? Date: Sat, 15 Sep 2007 11:40:23 +1000 Message-ID: NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 (Apple Message framework v752.2) Content-Type: text/plain; charset=US-ASCII; delsp=yes; format=flowed Content-Transfer-Encoding: 7bit X-Trace: ger.gmane.org 1241019598 10819 80.91.229.2 (29 Apr 2009 15:39:58 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:39:58 +0000 (UTC) To: Categories Original-X-From: rrosebru@mta.ca Sat Sep 15 10:29:02 2007 -0300 Return-path: Envelope-to: categories-list@mta.ca Delivery-date: Sat, 15 Sep 2007 10:29:02 -0300 Original-Received: from Majordom by mailserv.mta.ca with local (Exim 4.61) (envelope-from ) id 1IWXdL-0002gu-Tc for categories-list@mta.ca; Sat, 15 Sep 2007 10:24:27 -0300 Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 32 Original-Lines: 11 Xref: news.gmane.org gmane.science.mathematics.categories:3908 Archived-At: Has someone already mentioned that Eilenberg-Moore algebra categories and Kleisli categories "coincide" for all idempotent monads? The forgetful is full. Ross > There ARE a few monads for which the Kleisli and E-M categories > "coincide," however, beyond the identity monads. First example > coming to mind is the FreeVectorSpace monad on SETS. I'm sure > other Categories-readers will point out more.