{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T08:49:04Z","timestamp":1775465344804,"version":"3.50.1"},"reference-count":11,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07","funder":[{"DOI":"10.13039\/501100006769","name":"Russian Science Foundation","doi-asserted-by":"crossref","award":["21-11-00286"],"award-info":[{"award-number":["21-11-00286"]}],"id":[{"id":"10.13039\/501100006769","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2022,11]]},"abstract":"<jats:p> We study prime and semiprime Novikov algebras. We prove that prime nonassociative Novikov algebra has zero nucleus and center. It is well known that an ideal of an alternative semiprime algebra is semiprime algebra. We proved this statement for Novikov algebras. It implies that a Baer radical exists in a class of Novikov algebras. <\/jats:p>","DOI":"10.1142\/s0218196722500606","type":"journal-article","created":{"date-parts":[[2022,7,21]],"date-time":"2022-07-21T17:12:58Z","timestamp":1658423578000},"page":"1369-1378","source":"Crossref","is-referenced-by-count":5,"title":["Semiprime Novikov algebras"],"prefix":"10.1142","volume":"32","author":[{"given":"A. S.","family":"Panasenko","sequence":"first","affiliation":[{"name":"Sobolev Institute of Mathematics, 4 Koptyuga Ave, 630090, Novosibirsk, Russia"},{"name":"Department of Mechanics and Mathematics, Novosibirsk State University, 1 Universitetskiy Ave, 630090, Novosibirsk, Russia"}]}],"member":"219","published-online":{"date-parts":[[2022,8,13]]},"reference":[{"issue":"4","key":"S0218196722500606BIB001","first-page":"3","volume":"13","author":"Gel\u2019fand I. M.","year":"1979","journal-title":"Funkts.Anal. i Prilozh."},{"key":"S0218196722500606BIB002","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1994.1181"},{"key":"S0218196722500606BIB003","doi-asserted-by":"publisher","DOI":"10.1080\/00927879208824486"},{"key":"S0218196722500606BIB004","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.2020.1789652"},{"issue":"3","key":"S0218196722500606BIB005","doi-asserted-by":"crossref","first-page":"394","DOI":"10.1016\/0021-8693(72)90003-8","volume":"21","author":"Slater M.","year":"1972","journal-title":"J. Algebra"},{"issue":"7","key":"S0218196722500606BIB007","doi-asserted-by":"crossref","first-page":"1405","DOI":"10.1142\/S0218196721500491","volume":"31","author":"Umirbaev U.","year":"2021","journal-title":"Int. J. Algebra Comput."},{"key":"S0218196722500606BIB008","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.2001.8965"},{"key":"S0218196722500606BIB009","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1996.0356"},{"key":"S0218196722500606BIB010","first-page":"216","volume":"35","author":"Zel\u2019manov E. I.","year":"1987","journal-title":"Sov. Math. Dokl."},{"key":"S0218196722500606BIB011","doi-asserted-by":"crossref","first-page":"73","DOI":"10.1007\/BF00968798","volume":"24","author":"Zel\u2019manov E. I.","year":"1983","journal-title":"Sib. Math. J."},{"key":"S0218196722500606BIB012","volume-title":"Rings that are Nearly Associative","author":"Zhevlakov K. A.","year":"1982"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196722500606","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,24]],"date-time":"2022-11-24T07:59:58Z","timestamp":1669276798000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218196722500606"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,8,13]]},"references-count":11,"journal-issue":{"issue":"07","published-print":{"date-parts":[[2022,11]]}},"alternative-id":["10.1142\/S0218196722500606"],"URL":"https:\/\/doi.org\/10.1142\/s0218196722500606","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,8,13]]}}}