{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T06:39:18Z","timestamp":1649140758430},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2015,8]]},"abstract":"<jats:p> We give some necessary and sufficient conditions for the equivalency of the following two properties for a Moufang loop Q: Q over the nucleus Q\/N is an abelian group and Q over the center is a group. We study those properties of Moufang loops which guarantee that L(y, x) is in the automorphism group of the loop. These imply numerous statements, among them there are well-known old results. <\/jats:p>","DOI":"10.1142\/s021819671550023x","type":"journal-article","created":{"date-parts":[[2015,6,24]],"date-time":"2015-06-24T03:51:47Z","timestamp":1435117907000},"page":"889-897","source":"Crossref","is-referenced-by-count":0,"title":["On Moufang loops that are abelian groups over the nucleus"],"prefix":"10.1142","volume":"25","author":[{"given":"Piroska","family":"Cs\u00f6rg\u0151","sequence":"first","affiliation":[{"name":"Institute of Mathematics, Eszterh\u00e1zy K\u00e1roly College, Eger, Le\u00e1nyka u. 4, H-3300, Hungary"}]},{"given":"Maria L. Merlini","family":"Giuliani","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Universidade Federal do ABC, Rua Santa Ad\u00e9lia 166 Santo Andr\u00e9, SP, 09210-170, Brazil"}]}],"member":"219","published-online":{"date-parts":[[2015,8,13]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1943-0009962-7"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1946-0017288-3"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-43119-1"},{"key":"rf4","first-page":"197","volume":"49","author":"Cs\u00f6rg\u0151 P.","year":"2008","journal-title":"Comment. Math. Univ. Carolin."},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.2012.672605"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/s00013-013-0526-z"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1515\/FORUM.2009.022"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196709005482"},{"key":"rf9","volume-title":"Finite Groups","author":"Gorenstein D.","year":"1968"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2006.01.031"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(90)90152-E"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021819671550023X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T09:10:28Z","timestamp":1565082628000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021819671550023X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,8]]},"references-count":11,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2015,8,13]]},"published-print":{"date-parts":[[2015,8]]}},"alternative-id":["10.1142\/S021819671550023X"],"URL":"https:\/\/doi.org\/10.1142\/s021819671550023x","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,8]]}}}