{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T16:59:44Z","timestamp":1769878784682,"version":"3.49.0"},"reference-count":28,"publisher":"World Scientific Pub Co Pte Ltd","issue":"07","funder":[{"DOI":"10.13039\/501100001735","name":"Weizmann Institute of Science","doi-asserted-by":"crossref","award":["RSF 21-11-00283"],"award-info":[{"award-number":["RSF 21-11-00283"]}],"id":[{"id":"10.13039\/501100001735","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2022,11]]},"abstract":"<jats:p> We investigate the class of finite-dimensional not necessarily associative algebras that have slowly growing length, that is, for any algebra in this class its length is less than or equal to its dimension. We show that this class is considerably big, in particular, finite-dimensional Lie algebras as well as many other important classical finite-dimensional algebras belong to this class, for example, Leibniz algebras, Novikov algebras and Zinbiel algebras. The exact upper bounds for the length of these algebras is proved. To do this, we transfer the method of characteristic sequences to non-unital algebras and find certain polynomial conditions on the algebra elements that guarantee the slow growth of the length function. <\/jats:p>","DOI":"10.1142\/s0218196722500564","type":"journal-article","created":{"date-parts":[[2022,6,27]],"date-time":"2022-06-27T06:07:10Z","timestamp":1656310030000},"page":"1307-1325","source":"Crossref","is-referenced-by-count":4,"title":["Algebras of slowly growing length"],"prefix":"10.1142","volume":"32","author":[{"given":"Alexander","family":"Guterman","sequence":"first","affiliation":[{"name":"Lomonosov Moscow State University, GSP-1, Moscow 119991, Russia"},{"name":"Moscow Center for Fundamental and Applied Mathematics, GSP-1, Moscow 119991, Russia"},{"name":"Moscow Center for Continuous Mathematical Education, Moscow 119002, Russia"}]},{"given":"Dmitry","family":"Kudryavtsev","sequence":"additional","affiliation":[{"name":"School of Mathematics, The University of Manchester, Manchester M13 9PL, UK"}]}],"member":"219","published-online":{"date-parts":[[2022,7,28]]},"reference":[{"key":"S0218196722500564BIB001","doi-asserted-by":"crossref","first-page":"1","DOI":"10.4303\/jglta\/S090601","volume":"4","author":"Adashev J.","year":"2010","journal-title":"J. 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