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By leveraging previous findings, we explore the left action vector spaces and establish a lower bound on the dimension of the algebra\u2019s center in order to classify such indecomposable solvable Leibniz algebras. The main result states that such a Leibniz algebra either has a dimension at most 7 or is described geometrically by a bilinear form. <\/jats:p>","DOI":"10.1142\/s0218196725500249","type":"journal-article","created":{"date-parts":[[2025,5,30]],"date-time":"2025-05-30T10:42:43Z","timestamp":1748601763000},"page":"733-758","source":"Crossref","is-referenced-by-count":0,"title":["On a class of two-step solvable Leibniz algebras"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5619-2644","authenticated-orcid":false,"given":"Alfonso","family":"Di Bartolo","sequence":"first","affiliation":[{"name":"Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1047-5993","authenticated-orcid":false,"given":"Gianmarco","family":"La Rosa","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica e Informatica, Universit\u00e0 degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2025,7,1]]},"reference":[{"key":"S0218196725500249BIB001","doi-asserted-by":"publisher","DOI":"10.3390\/math11051120"},{"key":"S0218196725500249BIB002","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.2022.2105342"},{"key":"S0218196725500249BIB003","doi-asserted-by":"publisher","DOI":"10.1080\/00927872.2020.1851376"},{"key":"S0218196725500249BIB004","doi-asserted-by":"publisher","DOI":"10.1201\/9780429344336"},{"key":"S0218196725500249BIB005","doi-asserted-by":"publisher","DOI":"10.1023\/A:1004829123402"},{"key":"S0218196725500249BIB006","doi-asserted-by":"publisher","DOI":"10.1017\/S0004972711002954"},{"issue":"3","key":"S0218196725500249BIB007","first-page":"471","volume":"165","author":"Blokh A.","year":"1965","journal-title":"Dokl. 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