From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/1957 Path: news.gmane.org!not-for-mail From: robin@cpsc.ucalgary.ca Newsgroups: gmane.science.mathematics.categories Subject: Idempotent monoidal monads ... Date: Wed, 9 May 2001 16:12:51 -0600 (MDT) Message-ID: <200105092217.f49MHW315771@imgw1.cpsc.ucalgary.ca> NNTP-Posting-Host: main.gmane.org Mime-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii X-Trace: ger.gmane.org 1241018231 1381 80.91.229.2 (29 Apr 2009 15:17:11 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Wed, 29 Apr 2009 15:17:11 +0000 (UTC) To: categories@mta.ca Original-X-From: rrosebru@mta.ca Wed May 9 20:21:44 2001 -0300 Return-Path: Original-Received: (from Majordom@localhost) by mailserv.mta.ca (8.11.1/8.11.1) id f49MudY16315 for categories-list; Wed, 9 May 2001 19:56:39 -0300 (ADT) X-Authentication-Warning: mailserv.mta.ca: Majordom set sender to cat-dist@mta.ca using -f Original-Sender: cat-dist@mta.ca Precedence: bulk X-Keywords: X-UID: 25 Original-Lines: 18 Xref: news.gmane.org gmane.science.mathematics.categories:1957 Archived-At: Recently I stumbled on the following: I find it hard to believe that they are not well-known facts. I would be grateful for references ... (a) The conditions for the Kleisli category of a monoidal monad to be closed (left/right) w.r.t the induced tensor when the original category is (left/right) closed. (b) The fact that, in the above situation, when the monad is idempotent the Kleisli category is always closed. With thanks in advance -robin (Robin Cockett)