{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T00:43:52Z","timestamp":1648946632462},"reference-count":0,"publisher":"Det Kgl. Bibliotek\/Royal Danish Library","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["MATH. SCAND."],"abstract":"<jats:p>In this note we show that a ring $R$ is left perfect if and only if every left $R$-module is weakly supplemented if and only if $R$ is semilocal and the radical of the countably infinite free left $R$-module has a weak supplement.<\/jats:p>","DOI":"10.7146\/math.scand.a-15104","type":"journal-article","created":{"date-parts":[[2016,9,13]],"date-time":"2016-09-13T09:41:45Z","timestamp":1473759705000},"page":"25","source":"Crossref","is-referenced-by-count":3,"title":["Rings whose modules are weakly supplemented are perfect. Applications to certain ring extensions"],"prefix":"10.7146","volume":"105","author":[{"given":"Engin","family":"B\u00fcy\u00fckasik","sequence":"first","affiliation":[]},{"given":"Christian","family":"Lomp","sequence":"additional","affiliation":[]}],"member":"4226","published-online":{"date-parts":[[2009,9,1]]},"container-title":["MATHEMATICA SCANDINAVICA"],"original-title":[],"link":[{"URL":"http:\/\/www.mscand.dk\/article\/viewFile\/15104\/13099","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/www.mscand.dk\/article\/viewFile\/15104\/13099","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,7,14]],"date-time":"2017-07-14T10:36:19Z","timestamp":1500028579000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.mscand.dk\/article\/view\/15104"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,9,1]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2009,9,1]]}},"URL":"https:\/\/doi.org\/10.7146\/math.scand.a-15104","relation":{},"ISSN":["1903-1807","0025-5521"],"issn-type":[{"value":"1903-1807","type":"electronic"},{"value":"0025-5521","type":"print"}],"subject":[],"published":{"date-parts":[[2009,9,1]]}}}