{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:07:33Z","timestamp":1753880853701,"version":"3.41.2"},"reference-count":35,"publisher":"World Scientific Pub Co Pte Ltd","issue":"11","funder":[{"DOI":"10.13039\/501100002261","name":"RFBR","doi-asserted-by":"crossref","award":["18-31-20004"],"award-info":[{"award-number":["18-31-20004"]}],"id":[{"id":"10.13039\/501100002261","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001807","name":"FAPESP","doi-asserted-by":"crossref","award":["18\/15712-0","19\/00192-3"],"award-info":[{"award-number":["18\/15712-0","19\/00192-3"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Algebra Appl."],"published-print":{"date-parts":[[2021,11]]},"abstract":"<jats:p> We give a geometric classification of complex [Formula: see text]-dimensional nilpotent [Formula: see text]-algebras. The corresponding geometric variety has dimension 18 and decomposes into [Formula: see text] irreducible components determined by the Zariski closures of a two-parameter family of algebras and a four-parameter family of algebras. In particular, there are no rigid [Formula: see text]-dimensional complex nilpotent [Formula: see text]-algebras. <\/jats:p>","DOI":"10.1142\/s021949882150198x","type":"journal-article","created":{"date-parts":[[2020,6,20]],"date-time":"2020-06-20T04:38:03Z","timestamp":1592627883000},"source":"Crossref","is-referenced-by-count":4,"title":["The geometric classification of nilpotent \u212d\ud835\udd07-algebras"],"prefix":"10.1142","volume":"20","author":[{"given":"Ivan","family":"Kaygorodov","sequence":"first","affiliation":[{"name":"CMCC, Universidade Federal do ABC, Santo Andr\u00e9, Brazil"}]},{"given":"Mykola","family":"Khrypchenko","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1tica, Universidade Federal de Santa Catarina, Florian\u00f3polis, Brazil"}]}],"member":"219","published-online":{"date-parts":[[2020,8,7]]},"reference":[{"key":"S021949882150198XBIB001","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196719500437"},{"key":"S021949882150198XBIB002","doi-asserted-by":"publisher","DOI":"10.1080\/00927870601074905"},{"key":"S021949882150198XBIB003","doi-asserted-by":"publisher","DOI":"10.1142\/S1005386708000072"},{"key":"S021949882150198XBIB004","doi-asserted-by":"publisher","DOI":"10.1142\/S0219498813500813"},{"key":"S021949882150198XBIB005","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1998.7714"},{"key":"S021949882150198XBIB006","doi-asserted-by":"publisher","DOI":"10.1080\/03081087.2018.1519009"},{"key":"S021949882150198XBIB008","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.2016.1172626"},{"key":"S021949882150198XBIB009","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.2017.1327054"},{"key":"S021949882150198XBIB010","doi-asserted-by":"publisher","DOI":"10.2307\/1970343"},{"issue":"3","key":"S021949882150198XBIB011","first-page":"505","volume":"5","author":"Gorbatsevich V.","year":"1994","journal-title":"St. Petersburg Math. J."},{"key":"S021949882150198XBIB012","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.2019.1635612"},{"key":"S021949882150198XBIB013","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(88)90093-2"},{"key":"S021949882150198XBIB014","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(88)90199-8"},{"key":"S021949882150198XBIB015","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196707003329"},{"key":"S021949882150198XBIB016","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1988-0962796-4"},{"journal-title":"Algebr. Represent. Th.","year":"2020","author":"Ismailov N.","key":"S021949882150198XBIB017"},{"key":"S021949882150198XBIB018","doi-asserted-by":"publisher","DOI":"10.1142\/S0129167X18500350"},{"key":"S021949882150198XBIB019","doi-asserted-by":"publisher","DOI":"10.4153\/S0008439519000018"},{"key":"S021949882150198XBIB020","doi-asserted-by":"publisher","DOI":"10.1142\/S0219498821502029"},{"key":"S021949882150198XBIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.geomphys.2019.04.016"},{"key":"S021949882150198XBIB023","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2020.106337"},{"key":"S021949882150198XBIB025","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.2019.1691581"},{"key":"S021949882150198XBIB026","doi-asserted-by":"publisher","DOI":"10.1007\/s10468-019-09944-x"},{"key":"S021949882150198XBIB027","doi-asserted-by":"publisher","DOI":"10.1080\/03081087.2017.1319457"},{"key":"S021949882150198XBIB028","doi-asserted-by":"publisher","DOI":"10.1080\/03081087.2020.1749543"},{"key":"S021949882150198XBIB029","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.2018.1459647"},{"key":"S021949882150198XBIB030","doi-asserted-by":"publisher","DOI":"10.1080\/03081087.2018.1443426"},{"key":"S021949882150198XBIB031","doi-asserted-by":"publisher","DOI":"10.4153\/S0008414X18000056"},{"key":"S021949882150198XBIB032","doi-asserted-by":"publisher","DOI":"10.17323\/1609-4514-2019-19-3-485-521"},{"key":"S021949882150198XBIB033","doi-asserted-by":"publisher","DOI":"10.1063\/1.5119393"},{"key":"S021949882150198XBIB035","doi-asserted-by":"publisher","DOI":"10.1016\/j.geomphys.2015.07.020"},{"key":"S021949882150198XBIB036","doi-asserted-by":"publisher","DOI":"10.1007\/BF01114640"},{"key":"S021949882150198XBIB037","doi-asserted-by":"publisher","DOI":"10.1080\/00927879008824088"},{"key":"S021949882150198XBIB038","doi-asserted-by":"publisher","DOI":"10.1007\/BF01669497"},{"key":"S021949882150198XBIB040","doi-asserted-by":"publisher","DOI":"10.1080\/03081087.2020.1715333"}],"container-title":["Journal of Algebra and Its Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021949882150198X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,10,20]],"date-time":"2021-10-20T09:52:37Z","timestamp":1634723557000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021949882150198X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,8,7]]},"references-count":35,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2021,11]]}},"alternative-id":["10.1142\/S021949882150198X"],"URL":"https:\/\/doi.org\/10.1142\/s021949882150198x","relation":{},"ISSN":["0219-4988","1793-6829"],"issn-type":[{"type":"print","value":"0219-4988"},{"type":"electronic","value":"1793-6829"}],"subject":[],"published":{"date-parts":[[2020,8,7]]},"article-number":"2150198"}}