From mboxrd@z Thu Jan 1 00:00:00 1970 X-Msuck: nntp://news.gmane.io/gmane.science.mathematics.categories/9964 Path: news.gmane.org!.POSTED.blaine.gmane.org!not-for-mail From: Marco Grandis Newsgroups: gmane.science.mathematics.categories Subject: (unknown) Date: Sat, 20 Jul 2019 09:28:23 +0200 Message-ID: Reply-To: Marco Grandis Mime-Version: 1.0 (Apple Message framework v1085) Content-Type: text/plain; charset="windows-1252" Content-Transfer-Encoding: quoted-printable Injection-Info: blaine.gmane.org; posting-host="blaine.gmane.org:195.159.176.226"; logging-data="8063"; mail-complaints-to="usenet@blaine.gmane.org" To: Original-X-From: majordomo@mlist.mta.ca Sun Jul 21 14:50:21 2019 Return-path: Envelope-to: gsmc-categories@m.gmane.org Original-Received: from smtp2.mta.ca ([198.164.44.55]) by blaine.gmane.org with esmtps (TLS1.2:ECDHE_RSA_AES_256_GCM_SHA384:256) (Exim 4.89) (envelope-from ) id 1hpBID-0001zR-Ig for gsmc-categories@m.gmane.org; Sun, 21 Jul 2019 14:50:21 +0200 Original-Received: from mlist.mta.ca ([138.73.1.63]:35898) by smtp2.mta.ca with esmtp (Exim 4.80) (envelope-from ) id 1hpBHE-00026O-EF; Sun, 21 Jul 2019 09:49:20 -0300 Original-Received: from majordomo by mlist.mta.ca with local (Exim 4.71) (envelope-from ) id 1hpBGU-00060V-3s for categories-list@mlist.mta.ca; Sun, 21 Jul 2019 09:48:34 -0300 Precedence: bulk Xref: news.gmane.org gmane.science.mathematics.categories:9964 Archived-At: The following article is downloadable: Marco Grandis - George Janelidze, =46rom torsion theories to closure operators and factorization systems,=20= Categ. Gen. Algebr. Struct. Appl., in press. Downloadable from CGASA: http://cgasa.sbu.ac.ir/article_87116.html Abstract. Torsion theories are here extended to categories equipped with = an ideal of =91null morphisms=92, or equivalently a full subcategory of = =91null objects=92. Instances of this extension include closure = operators viewed as generalised torsion theories in a =91category of = pairs=92, and factorization systems viewed as torsion theories in a = category of morphisms. The first point has essentially been treated in = [15]. Regards Marco and George [For admin and other information see: http://www.mta.ca/~cat-dist/ ]