{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,10]],"date-time":"2025-05-10T16:30:52Z","timestamp":1746894652701},"reference-count":25,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2021,2]]},"abstract":"<jats:p> In this paper, we present new characterizations of several radicals of differential polynomial rings, including the Levitzki radical, strongly prime radical, and uniformly strongly prime radical in terms of the related [Formula: see text]-radical. <\/jats:p>","DOI":"10.1142\/s0218196721500041","type":"journal-article","created":{"date-parts":[[2020,9,16]],"date-time":"2020-09-16T15:03:37Z","timestamp":1600268617000},"page":"63-79","source":"Crossref","is-referenced-by-count":1,"title":["Radicals in differential polynomial rings"],"prefix":"10.1142","volume":"31","author":[{"given":"Jongwook","family":"Baeck","sequence":"first","affiliation":[{"name":"School of Basic Sciences, Hanbat National University, Daejeon 34158, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nam Kyun","family":"Kim","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Hanbat National University, Daejeon 34158, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yang","family":"Lee","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Yanbian University, Yanji 133002, P. R. China"},{"name":"Institute of Basic Science, Daejin University, Pocheon 11159, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2020,10,30]]},"reference":[{"key":"S0218196721500041BIB001","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-1956-040-9"},{"key":"S0218196721500041BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2012.03.023"},{"key":"S0218196721500041BIB003","doi-asserted-by":"publisher","DOI":"10.1080\/16073606.1998.9632033"},{"key":"S0218196721500041BIB004","volume-title":"Rings and Radicals","author":"Divinsky N. J.","year":"1964"},{"key":"S0218196721500041BIB005","first-page":"119","volume":"29","author":"Ferrero M.","year":"1987","journal-title":"Math. J. Okayama Univ."},{"key":"S0218196721500041BIB006","doi-asserted-by":"publisher","DOI":"10.1080\/00927878908823733"},{"key":"S0218196721500041BIB007","doi-asserted-by":"publisher","DOI":"10.1080\/00927878508823160"},{"key":"S0218196721500041BIB008","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s2-28.1.8"},{"key":"S0218196721500041BIB009","doi-asserted-by":"publisher","DOI":"10.1201\/9780203913352"},{"key":"S0218196721500041BIB010","doi-asserted-by":"publisher","DOI":"10.5565\/PUBLMAT6321902"},{"key":"S0218196721500041BIB011","first-page":"571","volume":"20","author":"Hadjiev D.","year":"1996","journal-title":"Tr. J. Math."},{"key":"S0218196721500041BIB012","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1975-0387332-0"},{"key":"S0218196721500041BIB013","doi-asserted-by":"publisher","DOI":"10.1216\/RMJ-2017-47-7-2197"},{"key":"S0218196721500041BIB014","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s2-10.3.281"},{"key":"S0218196721500041BIB015","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-0406-7"},{"key":"S0218196721500041BIB016","doi-asserted-by":"publisher","DOI":"10.1080\/00927879708826000"},{"key":"S0218196721500041BIB017","doi-asserted-by":"publisher","DOI":"10.1017\/S1446788700029013"},{"key":"S0218196721500041BIB018","doi-asserted-by":"publisher","DOI":"10.1080\/00927878408823040"},{"key":"S0218196721500041BIB019","doi-asserted-by":"publisher","DOI":"10.1080\/16073606.1984.9632333"},{"key":"S0218196721500041BIB020","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s3-42.3.559"},{"key":"S0218196721500041BIB021","volume-title":"Ring Theory","author":"Rowen L. H.","year":"1991"},{"key":"S0218196721500041BIB022","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.2000.8451"},{"key":"S0218196721500041BIB023","doi-asserted-by":"publisher","DOI":"10.1007\/s11856-017-1491-1"},{"key":"S0218196721500041BIB024","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2014.04.022"},{"key":"S0218196721500041BIB025","doi-asserted-by":"publisher","DOI":"10.1080\/00927870601117613"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196721500041","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,9]],"date-time":"2021-03-09T08:10:46Z","timestamp":1615277446000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196721500041"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,10,30]]},"references-count":25,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2021,2]]}},"alternative-id":["10.1142\/S0218196721500041"],"URL":"https:\/\/doi.org\/10.1142\/s0218196721500041","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,10,30]]}}}