Distributive lattices of varieties of Novikov algebras
Dotsenko V. Zhakhayev B.
April 2025Springer Science and Business Media Deutschland GmbH
Manuscripta Mathematica
2025#176Issue 2
We prove that a variety of Novikov algebras has a distributive lattice of subvarieties if and only if the lattice of its subvarieties defined by identities of degree three is distributive, thus answering, in the case of Novikov algebras, a question of Bokut from about fifty years ago. As a byproduct, we classify all Koszul operads with one binary generator of which the Novikov operad is a quotient.
Text of the article Перейти на текст статьи
Institut de Recherche Mathématique Avancée, UMR 7501, Université de Strasbourg et CNRS, 7 rue René-Descartes, Strasbourg CEDEX, 67000, France
Institute of Mathematics and Mathematical Modeling, Pushkin St. 125, Almaty, 050010, Kazakhstan
Institut de Recherche Mathématique Avancée
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026