{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,6]],"date-time":"2024-06-06T22:10:08Z","timestamp":1717711808364},"reference-count":0,"publisher":"Wiley","issue":"36","license":[{"start":{"date-parts":[[2004,8,2]],"date-time":"2004-08-02T00:00:00Z","timestamp":1091404800000},"content-version":"vor","delay-in-days":214,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2004,1]]},"abstract":"<jats:p>We study periodic rings that are finitely generated as groups. We\nprove several structure results. We classify periodic rings that\nare free of rank at most 2, and also periodic rings <jats:italic>R<\/jats:italic> such that\n<jats:italic>R<\/jats:italic> is finitely generated as a group and <jats:italic>R<\/jats:italic>\/<jats:italic>t<\/jats:italic>(<jats:italic>R<\/jats:italic>)\u2243<jats:italic>\u2124<\/jats:italic>. In this way, we construct new classes of periodic rings. We\nalso ask a question concerning the connection to\nperiodic rings that are finitely generated as rings.<\/jats:p>","DOI":"10.1155\/s0161171204310422","type":"journal-article","created":{"date-parts":[[2004,8,3]],"date-time":"2004-08-03T07:06:29Z","timestamp":1091516789000},"page":"1887-1892","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Periodic rings with finitely generated underlying group"],"prefix":"10.1155","volume":"2004","author":[{"given":"R.","family":"Khazal","sequence":"first","affiliation":[]},{"given":"S.","family":"D\u0103sc\u0103lescu","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2004,8,2]]},"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2004\/420383.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/S0161171204310422","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,6]],"date-time":"2024-06-06T21:15:18Z","timestamp":1717708518000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/S0161171204310422"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":0,"journal-issue":{"issue":"36","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["10.1155\/S0161171204310422"],"URL":"https:\/\/doi.org\/10.1155\/s0161171204310422","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2004,1]]},"assertion":[{"value":"2003-10-21","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2004-08-02","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}