From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/7555 Path: news.gmane.org!not-for-mail From: "George Janelidze" Newsgroups: gmane.science.mathematics.categories Subject: A new preprint "Non-pointed exactness, radicals, closure operators" Date: Thu, 27 Dec 2012 21:19:49 +0200 Message-ID: Reply-To: "George Janelidze" NNTP-Posting-Host: plane.gmane.org Mime-Version: 1.0 Content-Type: text/plain;format=flowed;charset="Windows-1252";reply-type=response Content-Transfer-Encoding: 8bit X-Trace: ger.gmane.org 1356708780 13745 80.91.229.3 (28 Dec 2012 15:33:00 GMT) X-Complaints-To: usenet@ger.gmane.org NNTP-Posting-Date: Fri, 28 Dec 2012 15:33:00 +0000 (UTC) To: Original-X-From: majordomo@mlist.mta.ca Fri Dec 28 16:33:16 2012 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtp3.mta.ca ([138.73.1.32]) by plane.gmane.org with esmtp (Exim 4.69) (envelope-from ) id 1Tobvq-0001IF-6t for gsmc-categories@m.gmane.org; Fri, 28 Dec 2012 16:33:10 +0100 Original-Received: from mlist.mta.ca ([138.73.1.63]:48923) by smtp3.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1TobpJ-0004rY-Q0; Fri, 28 Dec 2012 11:26:25 -0400 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1Tobv0-0003c5-4M for categories-list@mlist.mta.ca; Fri, 28 Dec 2012 11:32:18 -0400 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:7555 Archived-At: The following preprint: M. Grandis, G. Janelidze and L. M?rki, Non-pointed exactness, radicals, closure operators, Dip. Mat. Univ. Genova, Preprint 599 (2012) http://www.dima.unige.it/~grandis/GJM1.pdf can now be downloaded. Abstract: In this paper it is shown how non-pointed exactness provides a framework which allows a simple categorical treatment of the basics of Kurosh--Amitsur radical theory in the non-pointed case. This is made possible by a new approach to semi-exactness, in the sense of the first author, using adjoint functors. This framework also reveals how categorical closure operators arise as radical theories. Marco Grandis, Laszlo Marki, George Janelidze [For admin and other information see: http://www.mta.ca/~cat-dist/ ]