{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:28:25Z","timestamp":1747189705342,"version":"3.40.5"},"reference-count":9,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2024,2]]},"abstract":"<jats:p> Let [Formula: see text] be the free center-by-metabelian Lie algebra of rank 2 freely generated by the set [Formula: see text]. Let [Formula: see text] be the Lie subalgebra of symmetric polynomials in [Formula: see text], that is, [Formula: see text] consists of all the elements [Formula: see text] in [Formula: see text] such that [Formula: see text]. We give a linear basis and a minimal infinite generating set for [Formula: see text], thus extending results of \u015e. Findik and N. \u00d6g\u00fc\u015fl\u00fc [Palindromes in the free metabelian Lie algebras, Internat. J. Algebra Comput.\u00a029(5) (2019) 885\u2013891]. <\/jats:p>","DOI":"10.1142\/s0218196723500662","type":"journal-article","created":{"date-parts":[[2023,11,13]],"date-time":"2023-11-13T10:31:58Z","timestamp":1699871518000},"page":"1-21","source":"Crossref","is-referenced-by-count":0,"title":["Symmetric polynomials in free center-by-metabelian Lie algebras of rank 2"],"prefix":"10.1142","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4007-6144","authenticated-orcid":false,"given":"C. E.","family":"Kofinas","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of the Aegean, Karlovasi GR-83200, Samos, Greece"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2023,12,20]]},"reference":[{"key":"S0218196723500662BIB002","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s2-43.2.215"},{"key":"S0218196723500662BIB003","doi-asserted-by":"publisher","DOI":"10.1017\/S0017089500020024"},{"key":"S0218196723500662BIB004","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1994-1181161-3"},{"key":"S0218196723500662BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s00009-020-01582-8"},{"key":"S0218196723500662BIB006","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196719500334"},{"key":"S0218196723500662BIB007","doi-asserted-by":"publisher","DOI":"10.1093\/qmath\/hav008"},{"key":"S0218196723500662BIB009","doi-asserted-by":"publisher","DOI":"10.1093\/qmath\/hat017"},{"key":"S0218196723500662BIB010","doi-asserted-by":"publisher","DOI":"10.1007\/BF02679701"},{"key":"S0218196723500662BIB011","doi-asserted-by":"publisher","DOI":"10.1007\/s10958-010-9892-2"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196723500662","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,11]],"date-time":"2024-03-11T02:23:14Z","timestamp":1710123794000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218196723500662"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,12,20]]},"references-count":9,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2024,2]]}},"alternative-id":["10.1142\/S0218196723500662"],"URL":"https:\/\/doi.org\/10.1142\/s0218196723500662","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"type":"print","value":"0218-1967"},{"type":"electronic","value":"1793-6500"}],"subject":[],"published":{"date-parts":[[2023,12,20]]}}}