20.500.12556/RUL-116659 Toždestva v algebrah i kombinatornye svojstva dvoičnyh slov Identities on algebras and combinatorial properties of binary words We consider polynomial identities and codimension growth of nonassociative algebras over a field of characte-ristics zero. We offer new approach which allows to construct nonassociative algebras starting from a given infinite binary word. The sequence of codimensions of such an algebra is closeely connected with combinatorial complexity of the defining word. These constructions give new examples of algebras with abnormal codimension growth. The first important achievement is that our algebras are finitely generated. The second one is that asymptotic behavior of codimension sequences is quite different unlike all previous examples. identities codimensions binary words combinatorial complexity true false true Ruski jezik Angleški jezik Članek v reviji 2020-06-01 11:41:58 2020-06-01 11:41:59 2022-08-28 03:51:33 0000-00-00 00:00:00 2019 0 0 Angleški prevod v: ZAICEV, Mikhail, REPOVŠ, Dušan. Identities on algebras and combinatorial properties of binary words. Doklady, Mathematics, ISSN 1064-5624, 2019, vol. 100, no. 3, str. 558-559. https://doi.org/10.1134/S106456241906019X, doi: 10.1134/S106456241906019X. [COBISS.SI-ID 18945625] Str. 449-451 no. 5 T. 489 2019 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 512.557 0869-5652 10.31857/S0869-56524895449-451 18867801 3182425 RAZ_Zaicev_Mikhail_2019.pdf RAZ_Zaicev_Mikhail_2019.pdf 1 64AFD412369D8F2F7CA02CBAE45C039A b85abb53e182a9fe12487aa4a693051908c1f11aec1747205203ecc31b4343bb fb7d0bab-a1b8-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=130308 https://journals.eco-vector.com/0869-5652/article/view/18831 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=130307 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0