Coherent rings and absolutely pure covers-学术期刊.pdf

Communications in Algebra ISSN: 0092-7872 (Print) 1532-4125 (Online) Journal homepage: /loi/lagb20 Coherent rings and absolutely pure covers Guocheng Dai Nanqing Ding To cite this article: Guocheng Dai Nanqing Ding (2017): Coherent rings and absolutely pure covers, Communications in Algebra, DOI: 10.10802017.1344693 To link to this article: /10.10802017.1344693 Accepted author version posted online: 29 Jun 2017. Submit your article to this journal View related articles View Cro mark data Full Terms Conditions of acce and use can be found at /action/journalInformation?journalCode=lagb20 Download by: [Cornell University Library] Date: 30 June 2017, At: 03:28 Coherent rings and absolutely pure covers Guocheng Dai and Nanqing Ding t Department of Mathematics, Nanjing University, Nanjing, China p i r Abstract c s In this paper, we prove that a ring R is left coherent if and only if the class Abs of absolutely pure u left R-modules is a covering class. n a KEYWORDS: Absolutely pure module; coherent ring; cover M 2010 Mathematics Subject Classifica