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In addition, we construct a basis of the free initial Lie and associative dialgebras."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"For a given variety Var, we present a universal algorithm for constructing a subvariety of Var-dialgebras from which one can recover an algebra belonging to Var. 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Dauletiyarova, B. K. Sartayev, Basis of the free noncommutative Novikov algebra, Journal of Algebra and Its Applications, 2025, 24(12), 2550292","work_id":"7536b992-4dad-47db-9522-5c914e919f4e","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2025,"title":"V. Dotsenko, B. Zhakhayev, Distributive lattices of varieties of Novikov algebras, Manuscripta Mathematica, 2025, 176(2), 29","work_id":"b6474d55-ec92-4391-9727-72e8f0085322","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2019,"title":"V. Dotsenko, W. Heijltjes. Gr¨ obner bases for operads, http://irma.math.unistra.fr/dotsenko/operads.html, 2019","work_id":"e239cb05-1b30-483e-8bdd-38cccc903311","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2025,"title":"X. Gao, L. Guo, Z. Han, Y. Zhang, Rota-Baxter operators, differential operators, pre- and Novikov structures on groups and Lie algebras, Journal of Algebra, 684 (2025), 109–148","work_id":"2899a93a-b52a-4386-900f-1b487db5d9d8","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":15,"snapshot_sha256":"a5f9cfe3ca538bdaafcb9f8cb9b6fef306d5c064712e683a836ca993ba2253fc","internal_anchors":0},"formal_canon":{"evidence_count":1,"snapshot_sha256":"05061ba60c67db768aa079ccc71a5da568e848dae992ad231d0a5ecda1685393"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}