{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,2,7]],"date-time":"2023-02-07T05:21:28Z","timestamp":1675747288656},"reference-count":12,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2023,2]]},"abstract":"<jats:p> In 1978, Doro, in his paper [S. Doro, Simple moufang loops, Math. Proc. Camb. Philos. Soc.\u00a083 (1978) 377\u2013392] published the following conjecture: If the nucleus of a Moufang loop is trivial, then the commutant is a normal subloop. By working in the multiplication group of the loop we prove that in case of finite Moufang loops with trivial nucleus, the commutant is normal if and only if it is trivial. <\/jats:p>","DOI":"10.1142\/s0218196723500029","type":"journal-article","created":{"date-parts":[[2022,11,9]],"date-time":"2022-11-09T02:06:08Z","timestamp":1667959568000},"page":"1-13","source":"Crossref","is-referenced-by-count":0,"title":["On Doro\u2019s conjecture for finite Moufang loops"],"prefix":"10.1142","volume":"33","author":[{"given":"Piroska","family":"Cs\u00f6rg\u0151","sequence":"first","affiliation":[{"name":"ELKH Alfr\u00e9d R\u00e9nyi Mathematical Institute, Budapest, Re\u00e1ltanoda u. 13\u201315, H-1053, Hungary"}]}],"member":"219","published-online":{"date-parts":[[2022,11,8]]},"reference":[{"key":"S0218196723500029BIB001","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1946-0017288-3"},{"key":"S0218196723500029BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-35338-7"},{"key":"S0218196723500029BIB003","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196709005482"},{"key":"S0218196723500029BIB004","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.2012.672605"},{"key":"S0218196723500029BIB005","first-page":"781","volume":"25","author":"Cs\u00f6rg\u0151 P.","year":"2022","journal-title":"J. Group Theory"},{"key":"S0218196723500029BIB006","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100054669"},{"key":"S0218196723500029BIB007","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004111000181"},{"key":"S0218196723500029BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(68)90050-1"},{"key":"S0218196723500029BIB009","volume-title":"Finite Groups","author":"Gorenstein D.","year":"1968"},{"key":"S0218196723500029BIB010","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004119000549"},{"key":"S0218196723500029BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(90)90152-E"},{"key":"S0218196723500029BIB012","series-title":"Sigma Series in Pure Mathematics","volume-title":"Quasi-Groups and Loops: Introduction","volume":"7","author":"Pflugfelder H. O.","year":"1990"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196723500029","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,6]],"date-time":"2023-02-06T07:35:51Z","timestamp":1675668951000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218196723500029"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,11,8]]},"references-count":12,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2023,2]]}},"alternative-id":["10.1142\/S0218196723500029"],"URL":"https:\/\/doi.org\/10.1142\/s0218196723500029","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,11,8]]}}}