{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T10:28:54Z","timestamp":1762079334806},"reference-count":3,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2012,6]]},"abstract":"<jats:p> Recall that a rng is a ring which is possibly non-unital. In this note, we address the problem whether every finitely generated idempotent rng (irng) is singly generated as an ideal. It is well-known that it is the case for a commutative irng. We prove here that it is also the case for a free rng on finitely many idempotents and for a finite irng. A relation to the Wiegold problem for perfect groups is discussed. <\/jats:p>","DOI":"10.1142\/s0218196712500361","type":"journal-article","created":{"date-parts":[[2012,2,13]],"date-time":"2012-02-13T05:07:00Z","timestamp":1329109620000},"page":"1250036","source":"Crossref","is-referenced-by-count":2,"title":["IS AN IRNG SINGLY GENERATED AS AN IDEAL?"],"prefix":"10.1142","volume":"22","author":[{"given":"NICOLAS","family":"MONOD","sequence":"first","affiliation":[{"name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, 1015 Lausanne, Switzerland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"NARUTAKA","family":"OZAWA","sequence":"additional","affiliation":[{"name":"Research Institute for Mathematical Sciences, Kyoto University, 606-8502, Japan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ANDREAS","family":"THOM","sequence":"additional","affiliation":[{"name":"Universit\u00e4t Leipzig, PF 100920, 04009 Leipzig, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,6,21]]},"reference":[{"key":"rf2","unstructured":"I.\u00a0Kaplansky, Commutative Rings (Allyn and Bacon, 1970)\u00a0p. x+180."},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/BF01224966"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/s00222-011-0310-2"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196712500361","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T13:48:47Z","timestamp":1565185727000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196712500361"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,6]]},"references-count":3,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2012,6,21]]},"published-print":{"date-parts":[[2012,6]]}},"alternative-id":["10.1142\/S0218196712500361"],"URL":"https:\/\/doi.org\/10.1142\/s0218196712500361","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,6]]}}}