{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,21]],"date-time":"2026-03-21T20:51:15Z","timestamp":1774126275159,"version":"3.50.1"},"reference-count":19,"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":[[2021,8]]},"abstract":"<jats:p> Let [Formula: see text] be a reduced ring containing [Formula: see text] and let [Formula: see text] be commuting locally nilpotent derivations of [Formula: see text]. In this paper, we give an algorithm to decide the local nilpotency of derivations of the form [Formula: see text], where [Formula: see text] are elements in [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s0218196721500429","type":"journal-article","created":{"date-parts":[[2021,5,18]],"date-time":"2021-05-18T10:26:51Z","timestamp":1621333611000},"page":"903-913","source":"Crossref","is-referenced-by-count":2,"title":["A nilpotency criterion for derivations over reduced \u211a-algebras"],"prefix":"10.1142","volume":"31","author":[{"given":"M\u2019hammed","family":"El Kahoui","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, P.O. Box 2390, Marrakesh, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Najoua","family":"Essamaoui","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, P.O. Box 2390, Marrakesh, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mustapha","family":"Ouali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, P.O. Box 2390, Marrakesh, Morocco"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2021,5,18]]},"reference":[{"key":"S0218196721500429BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-9286-7_4"},{"key":"S0218196721500429BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/s00200-007-0050-0"},{"key":"S0218196721500429BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/S0747-7171(03)00062-2"},{"key":"S0218196721500429BIB004","doi-asserted-by":"publisher","DOI":"10.1080\/00927879408825103"},{"key":"S0218196721500429BIB005","doi-asserted-by":"publisher","DOI":"10.1145\/1005285.1005306"},{"key":"S0218196721500429BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(92)90125-Y"},{"key":"S0218196721500429BIB007","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-55350-3"},{"key":"S0218196721500429BIB008","volume-title":"An Introduction to Differential Algebra","author":"Kaplansky I.","year":"1957"},{"key":"S0218196721500429BIB009","series-title":"Pure and Applied Mathematics","volume-title":"Differential Algebra and Algebraic Groups","volume":"54","author":"Kolchin E. R.","year":"1973"},{"key":"S0218196721500429BIB010","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160070404"},{"key":"S0218196721500429BIB011","series-title":"Tata Institute of Fundamental Research Lectures on Mathematics and Physics","volume-title":"Curves on Rational and Unirational Surfaces","volume":"60","author":"Miyanishi M.","year":"1978"},{"key":"S0218196721500429BIB012","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(67)90015-4"},{"key":"S0218196721500429BIB013","first-page":"A384","volume":"267","author":"Rentschler R.","year":"1968","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. A-B"},{"key":"S0218196721500429BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2013.06.014"},{"key":"S0218196721500429BIB015","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1992-1111440-5"},{"key":"S0218196721500429BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(95)90013-6"},{"key":"S0218196721500429BIB017","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8440-2"},{"key":"S0218196721500429BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2004.05.003"},{"key":"S0218196721500429BIB019","doi-asserted-by":"publisher","DOI":"10.1215\/ijm\/1256047158"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196721500429","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,8,4]],"date-time":"2021-08-04T06:37:23Z","timestamp":1628059043000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196721500429"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,5,18]]},"references-count":19,"journal-issue":{"issue":"05","published-print":{"date-parts":[[2021,8]]}},"alternative-id":["10.1142\/S0218196721500429"],"URL":"https:\/\/doi.org\/10.1142\/s0218196721500429","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,5,18]]}}}